Interactive fuzzy random two-level linear programming through fractile criterion optimization

In this paper, assuming cooperative behavior of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy random environments are considered. To deal with the formulated two-level linear programming problems involving fuzzy random variables, α -leve...

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Vydáno v:Mathematical and computer modelling Ročník 54; číslo 11; s. 3153 - 3163
Hlavní autoři: Sakawa, Masatoshi, Katagiri, Hideki, Matsui, Takeshi
Médium: Journal Article
Jazyk:angličtina
Vydáno: Kidlington Elsevier Ltd 01.12.2011
Elsevier
Témata:
decision making
Exact sciences and technology
Fractile criterion optimization
Fuzzy mathematical programming
Fuzzy random variable
Gaussian distribution
Interactive decision making
Level set
linear programming
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Sciences and techniques of general use
Two-level linear programming problem
Fractile criterion optimization
Level set
Two-level linear programming problem
Interactive decision making
Gaussian distribution
Fuzzy random variable
Fuzzy mathematical programming
Stochastic model
Decision making
Optimization method
Linear programming
Quadratic programming
Stochastic programming
Numerical analysis
Applied mathematics
Sequential method
Simplex method
Optimality criterion
Mathematical model
Random variable
Computer aided analysis
Mathematical programming
ISSN:0895-7177, 1872-9479
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Abstract In this paper, assuming cooperative behavior of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy random environments are considered. To deal with the formulated two-level linear programming problems involving fuzzy random variables, α -level sets of fuzzy random variables are introduced and an α -stochastic two-level linear programming problem is defined for guaranteeing the degree of realization of the problem. Taking into account the vagueness of judgments of decision makers, fuzzy goals are introduced and the α -stochastic two-level linear programming problem is transformed into the problem to maximize the satisfaction degree for each fuzzy goal. Through the use of the fractile criterion optimization model, the transformed stochastic two-level programming problem can be reduced to a deterministic one. Interactive fuzzy programming to obtain a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. It is shown that all of the problems to be solved in the proposed interactive fuzzy programming can be easily solved by the simplex method, the sequential quadratic programming or the combined use of the bisection method and the sequential quadratic programming. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
AbstractList In this paper, assuming cooperative behavior of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy random environments are considered. To deal with the formulated two-level linear programming problems involving fuzzy random variables, α-level sets of fuzzy random variables are introduced and an α-stochastic two-level linear programming problem is defined for guaranteeing the degree of realization of the problem. Taking into account the vagueness of judgments of decision makers, fuzzy goals are introduced and the α-stochastic two-level linear programming problem is transformed into the problem to maximize the satisfaction degree for each fuzzy goal. Through the use of the fractile criterion optimization model, the transformed stochastic two-level programming problem can be reduced to a deterministic one. Interactive fuzzy programming to obtain a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. It is shown that all of the problems to be solved in the proposed interactive fuzzy programming can be easily solved by the simplex method, the sequential quadratic programming or the combined use of the bisection method and the sequential quadratic programming. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
In this paper, assuming cooperative behavior of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy random environments are considered. To deal with the formulated two-level linear programming problems involving fuzzy random variables, α -level sets of fuzzy random variables are introduced and an α -stochastic two-level linear programming problem is defined for guaranteeing the degree of realization of the problem. Taking into account the vagueness of judgments of decision makers, fuzzy goals are introduced and the α -stochastic two-level linear programming problem is transformed into the problem to maximize the satisfaction degree for each fuzzy goal. Through the use of the fractile criterion optimization model, the transformed stochastic two-level programming problem can be reduced to a deterministic one. Interactive fuzzy programming to obtain a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. It is shown that all of the problems to be solved in the proposed interactive fuzzy programming can be easily solved by the simplex method, the sequential quadratic programming or the combined use of the bisection method and the sequential quadratic programming. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
Author Matsui, Takeshi
Sakawa, Masatoshi
Katagiri, Hideki
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  fullname: Matsui, Takeshi
  email: tak-matsui@hiroshima-u.ac.jp
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Cites_doi 10.1016/0165-0114(94)90245-3
10.1016/j.fss.2006.05.002
10.1109/TSMC.1984.6313291
10.1016/S0165-0114(99)00027-5
10.1016/S0377-2217(02)00523-4
10.1137/0913069
10.1016/j.ejor.2005.07.019
10.1080/01969720500320817
10.1016/j.mcm.2003.08.007
10.1016/j.ejor.2007.02.050
10.1016/S0898-1221(98)00118-7
10.1287/mnsc.30.8.1004
10.1016/S0096-3003(99)00289-1
10.1016/0165-0114(95)00240-5
10.1016/0305-0548(82)90007-7
10.1016/S0377-2217(00)00309-X
10.1016/S0165-0114(02)00362-7
10.1016/j.amc.2006.10.032
10.1016/0305-0548(86)90023-7
10.1093/ietisy/e88-d.8.1912
10.1109/91.963758
10.1016/S0165-0114(01)00042-2
10.1287/mnsc.6.1.73
10.1016/j.ins.2007.03.029
10.1109/91.963757
10.1023/A:1023447217758
10.1287/opre.11.1.18
10.1007/BF02592149
10.1016/j.fss.2007.04.005
10.1007/BF00935665
10.1080/019697200124892
10.1016/S0377-2217(01)00273-9
10.1016/0165-0114(93)90025-D
10.1016/S0165-0114(01)00134-8
10.1016/0305-0548(95)00007-9
10.1137/0911017
10.1016/0020-0255(78)90019-1
10.1016/j.ins.2007.02.005
10.1016/0022-247X(86)90093-4
10.2307/1910956
10.1016/j.ins.2008.03.003
10.1016/0165-0114(95)00086-0
10.1007/BF01096412
10.1016/0165-0114(78)90031-3
10.1016/j.ejor.2005.08.024
10.1007/BF02098174
10.1016/0165-0114(95)00043-7
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Issue 11
Keywords Fractile criterion optimization
Level set
Two-level linear programming problem
Interactive decision making
Gaussian distribution
Fuzzy random variable
Fuzzy mathematical programming
Stochastic model
Decision making
Optimization method
Linear programming
Quadratic programming
Stochastic programming
Numerical analysis
Applied mathematics
Sequential method
Simplex method
Optimality criterion
Mathematical model
Random variable
Computer aided analysis
Mathematical programming
Language English
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References Luhandjula, Gupta (br000045) 1996; 81
Katagiri, Sakawa, Ishii (br000075) 2004; 152
White, Anandalingam (br000145) 1993; 3
Katagiri, Sakawa, Kato, Nishizaki (br000100) 2008; 188
Sakawa, Nishizaki (br000115) 2009
Sinha (br000205) 2003; 136
Bard, Falk (br000280) 1982; 9
Wang, Qiao (br000030) 1993; 57
Stancu-Minasian (br000250) 1984
Katagiri, Sakawa, Kato, Nishizaki (br000080) 2004; 40
Katagiri, Sakawa, Ishii (br000090) 2005; 61
Kwakernaak (br000005) 1978; 15
Liu (br000050) 2001; 9
Charnes, Cooper (br000240) 1959; 6
Liu, Liu (br000020) 2003; 2
Rommelfanger (br000060) 2007; 156
Stancu-Minasian (br000235) 1990
Sakawa, Nishizaki, Uemura (br000175) 2000; 115
Birge, Louveaux (br000260) 1997
Lee (br000180) 2001; 120
Katagiri, Ishii, Sakawa (br000070) 2004; 12
Wets (br000255) 1996; 75
Sakawa, Nishizaki, Uemura (br000195) 2001; 135
Katagiri, Mermri, Sakawa, Kato, Nishizaki (br000085) 2005; E88-D
Bard, Moore (br000130) 1990; 11
Sakawa, Nishizaki, Uemura (br000200) 2002; 141
Xu, Liu (br000110) 2008; 178
Abo-Sinna, Baky (br000215) 2007; 177
Sakawa, Nishizaki, Uemura (br000170) 1998; 36
Roghanian, Sadjadi, Aryanezhad (br000220) 2007; 188
Sakawa, Nishizaki (br000190) 2002; 127
Zimmermann (br000265) 1978; 1
Charnes, Cooper (br000245) 1963; 11
Lai (br000160) 1996; 77
Shih, Lai, Lee (br000165) 1996; 23
Qaio, Zhang, Wang (br000035) 1994; 65
Liu (br000055) 2001; 9
Hansen, Jaumard, Savard (br000135) 1992; 13
Gil, Lopez-Diaz, Ralescu (br000025) 2006; 157
Puri, Ralescu (br000015) 1986; 114
Bard (br000270) 1984; 14
Nishizaki, Sakawa (br000155) 2000; 31
Sakawa, Nishizaki (br000185) 2002; 125
Wen, Bialas (br000275) 1986; 13
Ammar (br000105) 2008; 178
Kataoka (br000230) 1963; 31
Simaan, Cruz (br000120) 1973; 11
Pramanik, Roy (br000210) 2007; 176
Júdice, Faustino (br000140) 1992; 34
Luhandjula (br000065) 2006; 174
Katagiri, Sakawa, Nishizaki (br000095) 2006; 37
Shimizu, Ishizuka, Bard (br000150) 1997
Sakawa (br000225) 1993
Luhandjula (br000040) 1996; 77
Kruse, Meyer (br000010) 1987
Bialas, Karwan (br000125) 1984; 30
Katagiri (10.1016/j.mcm.2011.08.006_br000095) 2006; 37
Lai (10.1016/j.mcm.2011.08.006_br000160) 1996; 77
Katagiri (10.1016/j.mcm.2011.08.006_br000100) 2008; 188
Luhandjula (10.1016/j.mcm.2011.08.006_br000065) 2006; 174
Kwakernaak (10.1016/j.mcm.2011.08.006_br000005) 1978; 15
Sinha (10.1016/j.mcm.2011.08.006_br000205) 2003; 136
Lee (10.1016/j.mcm.2011.08.006_br000180) 2001; 120
Wang (10.1016/j.mcm.2011.08.006_br000030) 1993; 57
Katagiri (10.1016/j.mcm.2011.08.006_br000075) 2004; 152
Qaio (10.1016/j.mcm.2011.08.006_br000035) 1994; 65
Shimizu (10.1016/j.mcm.2011.08.006_br000150) 1997
Xu (10.1016/j.mcm.2011.08.006_br000110) 2008; 178
Bard (10.1016/j.mcm.2011.08.006_br000130) 1990; 11
Rommelfanger (10.1016/j.mcm.2011.08.006_br000060) 2007; 156
Katagiri (10.1016/j.mcm.2011.08.006_br000085) 2005; E88-D
Katagiri (10.1016/j.mcm.2011.08.006_br000090) 2005; 61
Pramanik (10.1016/j.mcm.2011.08.006_br000210) 2007; 176
Sakawa (10.1016/j.mcm.2011.08.006_br000200) 2002; 141
Sakawa (10.1016/j.mcm.2011.08.006_br000115) 2009
Sakawa (10.1016/j.mcm.2011.08.006_br000225) 1993
Stancu-Minasian (10.1016/j.mcm.2011.08.006_br000235) 1990
Bard (10.1016/j.mcm.2011.08.006_br000270) 1984; 14
Kruse (10.1016/j.mcm.2011.08.006_br000010) 1987
Sakawa (10.1016/j.mcm.2011.08.006_br000190) 2002; 127
Nishizaki (10.1016/j.mcm.2011.08.006_br000155) 2000; 31
Roghanian (10.1016/j.mcm.2011.08.006_br000220) 2007; 188
White (10.1016/j.mcm.2011.08.006_br000145) 1993; 3
Kataoka (10.1016/j.mcm.2011.08.006_br000230) 1963; 31
Sakawa (10.1016/j.mcm.2011.08.006_br000195) 2001; 135
Sakawa (10.1016/j.mcm.2011.08.006_br000170) 1998; 36
Sakawa (10.1016/j.mcm.2011.08.006_br000175) 2000; 115
Liu (10.1016/j.mcm.2011.08.006_br000020) 2003; 2
Katagiri (10.1016/j.mcm.2011.08.006_br000080) 2004; 40
Charnes (10.1016/j.mcm.2011.08.006_br000245) 1963; 11
Luhandjula (10.1016/j.mcm.2011.08.006_br000045) 1996; 81
Wen (10.1016/j.mcm.2011.08.006_br000275) 1986; 13
Stancu-Minasian (10.1016/j.mcm.2011.08.006_br000250) 1984
Gil (10.1016/j.mcm.2011.08.006_br000025) 2006; 157
Hansen (10.1016/j.mcm.2011.08.006_br000135) 1992; 13
Júdice (10.1016/j.mcm.2011.08.006_br000140) 1992; 34
Abo-Sinna (10.1016/j.mcm.2011.08.006_br000215) 2007; 177
Liu (10.1016/j.mcm.2011.08.006_br000050) 2001; 9
Katagiri (10.1016/j.mcm.2011.08.006_br000070) 2004; 12
Simaan (10.1016/j.mcm.2011.08.006_br000120) 1973; 11
Charnes (10.1016/j.mcm.2011.08.006_br000240) 1959; 6
Birge (10.1016/j.mcm.2011.08.006_br000260) 1997
Shih (10.1016/j.mcm.2011.08.006_br000165) 1996; 23
Puri (10.1016/j.mcm.2011.08.006_br000015) 1986; 114
Luhandjula (10.1016/j.mcm.2011.08.006_br000040) 1996; 77
Zimmermann (10.1016/j.mcm.2011.08.006_br000265) 1978; 1
Bard (10.1016/j.mcm.2011.08.006_br000280) 1982; 9
Ammar (10.1016/j.mcm.2011.08.006_br000105) 2008; 178
Wets (10.1016/j.mcm.2011.08.006_br000255) 1996; 75
Bialas (10.1016/j.mcm.2011.08.006_br000125) 1984; 30
Liu (10.1016/j.mcm.2011.08.006_br000055) 2001; 9
Sakawa (10.1016/j.mcm.2011.08.006_br000185) 2002; 125
References_xml – volume: 157
  start-page: 2546
  year: 2006
  end-page: 2557
  ident: br000025
  article-title: Overview on the development of fuzzy random variables
  publication-title: Fuzzy Sets and Systems
– volume: 31
  start-page: 181
  year: 1963
  end-page: 196
  ident: br000230
  article-title: A stochastic programming model
  publication-title: Econometorica
– volume: 2
  start-page: 143
  year: 2003
  end-page: 160
  ident: br000020
  article-title: Fuzzy random variables: a scalar expected value operator
  publication-title: Fuzzy Optimization and Decision Making
– volume: 156
  start-page: 1892
  year: 2007
  end-page: 1904
  ident: br000060
  article-title: A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values
  publication-title: Fuzzy Sets and Systems
– volume: 12
  start-page: 59
  year: 2004
  end-page: 70
  ident: br000070
  article-title: On fuzzy random linear knapsack problems
  publication-title: Central European Journal of Operations Research
– volume: 174
  start-page: 1353
  year: 2006
  end-page: 1367
  ident: br000065
  article-title: Fuzzy stochastic linear programming: survey and future research directions
  publication-title: European Journal of Operational Research
– volume: 188
  start-page: 530
  year: 2008
  end-page: 539
  ident: br000100
  article-title: Interactive multiobjective fuzzy random linear programming: maximization of possibility and probability
  publication-title: European Journal of Operational Research
– volume: 81
  start-page: 47
  year: 1996
  end-page: 55
  ident: br000045
  article-title: On fuzzy stochastic optimization
  publication-title: Fuzzy Sets and Systems
– volume: 77
  start-page: 321
  year: 1996
  end-page: 325
  ident: br000160
  article-title: Hierarchical optimization: a satisfactory solution
  publication-title: Fuzzy Sets and Systems
– volume: 11
  start-page: 18
  year: 1963
  end-page: 39
  ident: br000245
  article-title: Deterministic equivalents for optimizing and satisficing under chance constraints
  publication-title: Operations Research
– volume: E88-D
  start-page: 1912
  year: 2005
  end-page: 1919
  ident: br000085
  article-title: A possibilistic and stochastic programming approach to fuzzy random MST problems
  publication-title: IEICE Transaction on Information and Systems
– year: 1987
  ident: br000010
  article-title: Statistics with Vague Data
– year: 1984
  ident: br000250
  article-title: Stochastic Programming with Multiple Objective Functions
– volume: 11
  start-page: 281
  year: 1990
  end-page: 292
  ident: br000130
  article-title: A branch and bound algorithm for the bi-level programming problem
  publication-title: SIAM Journal on Scientific and Statistical Computing
– year: 2009
  ident: br000115
  article-title: Cooperative and Noncooperative Multi-Level Programming
– volume: 178
  start-page: 468
  year: 2008
  end-page: 484
  ident: br000105
  article-title: On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem
  publication-title: Information Sciences
– year: 1997
  ident: br000150
  article-title: Nondifferentiable and Two-Level Mathematical Programming
– volume: 31
  start-page: 203
  year: 2000
  end-page: 221
  ident: br000155
  article-title: Computational methods through genetic algorithms for obtaining Stackelberg solutions to two-level mixed zero-one programming problems
  publication-title: Cybernetics and Systems: An International Journal
– volume: 1
  start-page: 45
  year: 1978
  end-page: 55
  ident: br000265
  article-title: Fuzzy programming and linear programming with several objective functions
  publication-title: Fuzzy Sets and Systems
– volume: 13
  start-page: 367
  year: 1986
  end-page: 377
  ident: br000275
  article-title: The hybrid algorithm for solving the three-level linear programming problem
  publication-title: Computer & Operations Research
– volume: 37
  start-page: 59
  year: 2006
  end-page: 74
  ident: br000095
  article-title: Interactive decision making using possibility and necessity measures for a fuzzy random multiobjective 0–1 programming problem
  publication-title: Cybernetics and Systems
– volume: 13
  start-page: 1194
  year: 1992
  end-page: 1217
  ident: br000135
  article-title: New branch-and-bound rules for liner bi-level programming
  publication-title: SIAM Journal of Scientific and Statistical Computing
– volume: 3
  start-page: 397
  year: 1993
  end-page: 419
  ident: br000145
  article-title: A penalty function approach for solving bi-level linear programs
  publication-title: Journal of Global Optimization
– volume: 77
  start-page: 291
  year: 1996
  end-page: 297
  ident: br000040
  article-title: Fuzziness and randomness in an optimization framework
  publication-title: Fuzzy Sets and Systems
– volume: 61
  start-page: 361
  year: 2005
  end-page: 369
  ident: br000090
  article-title: A study on fuzzy random portfolio selection problems using possibility and necessity measures
  publication-title: Scientiae Mathematicae Japonicae
– volume: 188
  start-page: 786
  year: 2007
  end-page: 800
  ident: br000220
  article-title: A probabilistic bi-level linear multi-objective programming problem to supply chain planning
  publication-title: Applied Mathematics and Computation
– volume: 40
  start-page: 411
  year: 2004
  end-page: 421
  ident: br000080
  article-title: A fuzzy random multiobjective 0–1 programming based on the expectation optimization model using possibility and necessity measures
  publication-title: Mathematical and Computer Modelling
– volume: 9
  start-page: 721
  year: 2001
  end-page: 726
  ident: br000055
  article-title: Fuzzy random dependent-chance programming
  publication-title: IEEE Transaction on Fuzzy Systems
– volume: 34
  start-page: 89
  year: 1992
  end-page: 106
  ident: br000140
  article-title: A sequential LCP method for bi-level linear programming
  publication-title: Annals of Operations Research
– year: 1993
  ident: br000225
  article-title: Fuzzy Sets and Interactive Multiobjective Optimization
– volume: 65
  start-page: 31
  year: 1994
  end-page: 49
  ident: br000035
  article-title: On fuzzy random linear programming
  publication-title: Fuzzy Sets and Systems
– start-page: 71
  year: 1990
  end-page: 101
  ident: br000235
  article-title: Overview of different approaches for solving stochastic programming problems with multiple objective functions
  publication-title: Stochastic Versus Fuzzy Approaches to Multiobjective Mathematical Programming Under Uncertainty
– volume: 14
  start-page: 711
  year: 1984
  end-page: 717
  ident: br000270
  article-title: An investigation of the linear three-level programming problem
  publication-title: IEEE Transactions on Systems, Man and Cybernetics
– volume: 15
  start-page: 1
  year: 1978
  end-page: 29
  ident: br000005
  article-title: Fuzzy random variables–I. definitions and theorems
  publication-title: Information Sciences
– volume: 141
  start-page: 167
  year: 2002
  end-page: 185
  ident: br000200
  article-title: A decentralized two-level transportation problem in a housing material manufacturer—Interactive fuzzy programming approach
  publication-title: European Journal of Operational Research
– volume: 152
  start-page: 88
  year: 2004
  end-page: 95
  ident: br000075
  article-title: Fuzzy random bottleneck spanning tree problems
  publication-title: European Journal of Operational Research
– volume: 178
  start-page: 2899
  year: 2008
  end-page: 2914
  ident: br000110
  article-title: Multi-objective decision making model under fuzzy random environment and its application to inventory problems
  publication-title: Information Sciences
– volume: 177
  start-page: 3397
  year: 2007
  end-page: 3410
  ident: br000215
  article-title: Interactive balance space approach for solving multi-level multi-objective programming problems
  publication-title: Information Sciences
– volume: 127
  start-page: 185
  year: 2002
  end-page: 197
  ident: br000190
  article-title: Interactive fuzzy programming for two-level nonconvex programming problems with fuzzy parameters through genetic algorithms
  publication-title: Fuzzy Sets and Systems
– volume: 11
  start-page: 533
  year: 1973
  end-page: 555
  ident: br000120
  article-title: On the Stackelberg strategy in nonzero-sum games
  publication-title: Journal of Optimization Theory and Applications
– volume: 136
  start-page: 189
  year: 2003
  end-page: 202
  ident: br000205
  article-title: Fuzzy programming approach to multi-level programming problems
  publication-title: Fuzzy Sets and Systems
– volume: 9
  start-page: 713
  year: 2001
  end-page: 720
  ident: br000050
  article-title: Fuzzy random chance-constrained programming
  publication-title: IEEE Transaction on Fuzzy Systems
– volume: 9
  start-page: 77
  year: 1982
  end-page: 100
  ident: br000280
  article-title: An explicit solution to the multi-level programming problem
  publication-title: Computer & Operations Research
– volume: 125
  start-page: 301
  year: 2002
  end-page: 315
  ident: br000185
  article-title: Interactive fuzzy programming for decentralized two-level linear programming problems
  publication-title: Fuzzy Sets and Systems
– volume: 23
  start-page: 73
  year: 1996
  end-page: 91
  ident: br000165
  article-title: Fuzzy approach for multi-level programming problems
  publication-title: Computers & Operations Research
– volume: 36
  start-page: 71
  year: 1998
  end-page: 86
  ident: br000170
  article-title: Interactive fuzzy programming for multi-level linear programming problems
  publication-title: Computers & Mathematics with Applications
– volume: 57
  start-page: 295
  year: 1993
  end-page: 311
  ident: br000030
  article-title: Linear programming with fuzzy random variable coefficients
  publication-title: Fuzzy Sets and Systems
– volume: 120
  start-page: 79
  year: 2001
  end-page: 90
  ident: br000180
  article-title: Fuzzy multiple level programming
  publication-title: Applied Mathematics and Computation
– volume: 30
  start-page: 1004
  year: 1984
  end-page: 1020
  ident: br000125
  article-title: Two-level linear programming
  publication-title: Management Science
– volume: 176
  start-page: 1151
  year: 2007
  end-page: 1166
  ident: br000210
  article-title: Fuzzy goal programming approach to multilevel programming problems
  publication-title: European Journal of Operational Research
– volume: 114
  start-page: 409
  year: 1986
  end-page: 422
  ident: br000015
  article-title: Fuzzy random variables
  publication-title: Journal of Mathematical Analysis and Applications
– volume: 135
  start-page: 142
  year: 2001
  end-page: 157
  ident: br000195
  article-title: Interactive fuzzy programming for two-level linear and linear fractional production and assignment problems: a case study
  publication-title: European Journal of Operational Research
– volume: 6
  start-page: 73
  year: 1959
  end-page: 79
  ident: br000240
  article-title: Chance constrained programming
  publication-title: Management Science
– volume: 75
  start-page: 115
  year: 1996
  end-page: 135
  ident: br000255
  article-title: Challenges in stochastic programming
  publication-title: Mathematical Programming
– volume: 115
  start-page: 93
  year: 2000
  end-page: 103
  ident: br000175
  article-title: Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters
  publication-title: Fuzzy Sets and Systems
– year: 1997
  ident: br000260
  article-title: Introduction to Stochastic Programming
– volume: 65
  start-page: 31
  year: 1994
  ident: 10.1016/j.mcm.2011.08.006_br000035
  article-title: On fuzzy random linear programming
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(94)90245-3
– volume: 157
  start-page: 2546
  year: 2006
  ident: 10.1016/j.mcm.2011.08.006_br000025
  article-title: Overview on the development of fuzzy random variables
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2006.05.002
– year: 1997
  ident: 10.1016/j.mcm.2011.08.006_br000150
– year: 1987
  ident: 10.1016/j.mcm.2011.08.006_br000010
– volume: 14
  start-page: 711
  year: 1984
  ident: 10.1016/j.mcm.2011.08.006_br000270
  article-title: An investigation of the linear three-level programming problem
  publication-title: IEEE Transactions on Systems, Man and Cybernetics
  doi: 10.1109/TSMC.1984.6313291
– volume: 115
  start-page: 93
  year: 2000
  ident: 10.1016/j.mcm.2011.08.006_br000175
  article-title: Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(99)00027-5
– volume: 152
  start-page: 88
  year: 2004
  ident: 10.1016/j.mcm.2011.08.006_br000075
  article-title: Fuzzy random bottleneck spanning tree problems
  publication-title: European Journal of Operational Research
  doi: 10.1016/S0377-2217(02)00523-4
– volume: 13
  start-page: 1194
  year: 1992
  ident: 10.1016/j.mcm.2011.08.006_br000135
  article-title: New branch-and-bound rules for liner bi-level programming
  publication-title: SIAM Journal of Scientific and Statistical Computing
  doi: 10.1137/0913069
– volume: 174
  start-page: 1353
  year: 2006
  ident: 10.1016/j.mcm.2011.08.006_br000065
  article-title: Fuzzy stochastic linear programming: survey and future research directions
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2005.07.019
– volume: 37
  start-page: 59
  year: 2006
  ident: 10.1016/j.mcm.2011.08.006_br000095
  article-title: Interactive decision making using possibility and necessity measures for a fuzzy random multiobjective 0–1 programming problem
  publication-title: Cybernetics and Systems
  doi: 10.1080/01969720500320817
– volume: 40
  start-page: 411
  year: 2004
  ident: 10.1016/j.mcm.2011.08.006_br000080
  article-title: A fuzzy random multiobjective 0–1 programming based on the expectation optimization model using possibility and necessity measures
  publication-title: Mathematical and Computer Modelling
  doi: 10.1016/j.mcm.2003.08.007
– volume: 188
  start-page: 530
  year: 2008
  ident: 10.1016/j.mcm.2011.08.006_br000100
  article-title: Interactive multiobjective fuzzy random linear programming: maximization of possibility and probability
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2007.02.050
– volume: 36
  start-page: 71
  year: 1998
  ident: 10.1016/j.mcm.2011.08.006_br000170
  article-title: Interactive fuzzy programming for multi-level linear programming problems
  publication-title: Computers & Mathematics with Applications
  doi: 10.1016/S0898-1221(98)00118-7
– volume: 30
  start-page: 1004
  year: 1984
  ident: 10.1016/j.mcm.2011.08.006_br000125
  article-title: Two-level linear programming
  publication-title: Management Science
  doi: 10.1287/mnsc.30.8.1004
– volume: 12
  start-page: 59
  year: 2004
  ident: 10.1016/j.mcm.2011.08.006_br000070
  article-title: On fuzzy random linear knapsack problems
  publication-title: Central European Journal of Operations Research
– volume: 120
  start-page: 79
  year: 2001
  ident: 10.1016/j.mcm.2011.08.006_br000180
  article-title: Fuzzy multiple level programming
  publication-title: Applied Mathematics and Computation
  doi: 10.1016/S0096-3003(99)00289-1
– volume: 81
  start-page: 47
  year: 1996
  ident: 10.1016/j.mcm.2011.08.006_br000045
  article-title: On fuzzy stochastic optimization
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(95)00240-5
– volume: 9
  start-page: 77
  year: 1982
  ident: 10.1016/j.mcm.2011.08.006_br000280
  article-title: An explicit solution to the multi-level programming problem
  publication-title: Computer & Operations Research
  doi: 10.1016/0305-0548(82)90007-7
– year: 2009
  ident: 10.1016/j.mcm.2011.08.006_br000115
– start-page: 71
  year: 1990
  ident: 10.1016/j.mcm.2011.08.006_br000235
  article-title: Overview of different approaches for solving stochastic programming problems with multiple objective functions
– volume: 135
  start-page: 142
  year: 2001
  ident: 10.1016/j.mcm.2011.08.006_br000195
  article-title: Interactive fuzzy programming for two-level linear and linear fractional production and assignment problems: a case study
  publication-title: European Journal of Operational Research
  doi: 10.1016/S0377-2217(00)00309-X
– volume: 136
  start-page: 189
  year: 2003
  ident: 10.1016/j.mcm.2011.08.006_br000205
  article-title: Fuzzy programming approach to multi-level programming problems
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(02)00362-7
– year: 1984
  ident: 10.1016/j.mcm.2011.08.006_br000250
– volume: 188
  start-page: 786
  year: 2007
  ident: 10.1016/j.mcm.2011.08.006_br000220
  article-title: A probabilistic bi-level linear multi-objective programming problem to supply chain planning
  publication-title: Applied Mathematics and Computation
  doi: 10.1016/j.amc.2006.10.032
– volume: 13
  start-page: 367
  year: 1986
  ident: 10.1016/j.mcm.2011.08.006_br000275
  article-title: The hybrid algorithm for solving the three-level linear programming problem
  publication-title: Computer & Operations Research
  doi: 10.1016/0305-0548(86)90023-7
– volume: E88-D
  start-page: 1912
  year: 2005
  ident: 10.1016/j.mcm.2011.08.006_br000085
  article-title: A possibilistic and stochastic programming approach to fuzzy random MST problems
  publication-title: IEICE Transaction on Information and Systems
  doi: 10.1093/ietisy/e88-d.8.1912
– volume: 9
  start-page: 721
  year: 2001
  ident: 10.1016/j.mcm.2011.08.006_br000055
  article-title: Fuzzy random dependent-chance programming
  publication-title: IEEE Transaction on Fuzzy Systems
  doi: 10.1109/91.963758
– volume: 125
  start-page: 301
  year: 2002
  ident: 10.1016/j.mcm.2011.08.006_br000185
  article-title: Interactive fuzzy programming for decentralized two-level linear programming problems
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(01)00042-2
– volume: 6
  start-page: 73
  year: 1959
  ident: 10.1016/j.mcm.2011.08.006_br000240
  article-title: Chance constrained programming
  publication-title: Management Science
  doi: 10.1287/mnsc.6.1.73
– volume: 178
  start-page: 468
  year: 2008
  ident: 10.1016/j.mcm.2011.08.006_br000105
  article-title: On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem
  publication-title: Information Sciences
  doi: 10.1016/j.ins.2007.03.029
– volume: 9
  start-page: 713
  year: 2001
  ident: 10.1016/j.mcm.2011.08.006_br000050
  article-title: Fuzzy random chance-constrained programming
  publication-title: IEEE Transaction on Fuzzy Systems
  doi: 10.1109/91.963757
– volume: 2
  start-page: 143
  year: 2003
  ident: 10.1016/j.mcm.2011.08.006_br000020
  article-title: Fuzzy random variables: a scalar expected value operator
  publication-title: Fuzzy Optimization and Decision Making
  doi: 10.1023/A:1023447217758
– volume: 11
  start-page: 18
  year: 1963
  ident: 10.1016/j.mcm.2011.08.006_br000245
  article-title: Deterministic equivalents for optimizing and satisficing under chance constraints
  publication-title: Operations Research
  doi: 10.1287/opre.11.1.18
– volume: 75
  start-page: 115
  year: 1996
  ident: 10.1016/j.mcm.2011.08.006_br000255
  article-title: Challenges in stochastic programming
  publication-title: Mathematical Programming
  doi: 10.1007/BF02592149
– volume: 156
  start-page: 1892
  year: 2007
  ident: 10.1016/j.mcm.2011.08.006_br000060
  article-title: A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/j.fss.2007.04.005
– volume: 61
  start-page: 361
  year: 2005
  ident: 10.1016/j.mcm.2011.08.006_br000090
  article-title: A study on fuzzy random portfolio selection problems using possibility and necessity measures
  publication-title: Scientiae Mathematicae Japonicae
– volume: 11
  start-page: 533
  year: 1973
  ident: 10.1016/j.mcm.2011.08.006_br000120
  article-title: On the Stackelberg strategy in nonzero-sum games
  publication-title: Journal of Optimization Theory and Applications
  doi: 10.1007/BF00935665
– volume: 31
  start-page: 203
  year: 2000
  ident: 10.1016/j.mcm.2011.08.006_br000155
  article-title: Computational methods through genetic algorithms for obtaining Stackelberg solutions to two-level mixed zero-one programming problems
  publication-title: Cybernetics and Systems: An International Journal
  doi: 10.1080/019697200124892
– volume: 141
  start-page: 167
  year: 2002
  ident: 10.1016/j.mcm.2011.08.006_br000200
  article-title: A decentralized two-level transportation problem in a housing material manufacturer—Interactive fuzzy programming approach
  publication-title: European Journal of Operational Research
  doi: 10.1016/S0377-2217(01)00273-9
– volume: 57
  start-page: 295
  year: 1993
  ident: 10.1016/j.mcm.2011.08.006_br000030
  article-title: Linear programming with fuzzy random variable coefficients
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(93)90025-D
– volume: 127
  start-page: 185
  year: 2002
  ident: 10.1016/j.mcm.2011.08.006_br000190
  article-title: Interactive fuzzy programming for two-level nonconvex programming problems with fuzzy parameters through genetic algorithms
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(01)00134-8
– volume: 23
  start-page: 73
  year: 1996
  ident: 10.1016/j.mcm.2011.08.006_br000165
  article-title: Fuzzy approach for multi-level programming problems
  publication-title: Computers & Operations Research
  doi: 10.1016/0305-0548(95)00007-9
– volume: 11
  start-page: 281
  year: 1990
  ident: 10.1016/j.mcm.2011.08.006_br000130
  article-title: A branch and bound algorithm for the bi-level programming problem
  publication-title: SIAM Journal on Scientific and Statistical Computing
  doi: 10.1137/0911017
– volume: 15
  start-page: 1
  year: 1978
  ident: 10.1016/j.mcm.2011.08.006_br000005
  article-title: Fuzzy random variables–I. definitions and theorems
  publication-title: Information Sciences
  doi: 10.1016/0020-0255(78)90019-1
– volume: 177
  start-page: 3397
  year: 2007
  ident: 10.1016/j.mcm.2011.08.006_br000215
  article-title: Interactive balance space approach for solving multi-level multi-objective programming problems
  publication-title: Information Sciences
  doi: 10.1016/j.ins.2007.02.005
– year: 1993
  ident: 10.1016/j.mcm.2011.08.006_br000225
– volume: 114
  start-page: 409
  year: 1986
  ident: 10.1016/j.mcm.2011.08.006_br000015
  article-title: Fuzzy random variables
  publication-title: Journal of Mathematical Analysis and Applications
  doi: 10.1016/0022-247X(86)90093-4
– volume: 31
  start-page: 181
  year: 1963
  ident: 10.1016/j.mcm.2011.08.006_br000230
  article-title: A stochastic programming model
  publication-title: Econometorica
  doi: 10.2307/1910956
– volume: 178
  start-page: 2899
  year: 2008
  ident: 10.1016/j.mcm.2011.08.006_br000110
  article-title: Multi-objective decision making model under fuzzy random environment and its application to inventory problems
  publication-title: Information Sciences
  doi: 10.1016/j.ins.2008.03.003
– volume: 77
  start-page: 321
  year: 1996
  ident: 10.1016/j.mcm.2011.08.006_br000160
  article-title: Hierarchical optimization: a satisfactory solution
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(95)00086-0
– volume: 3
  start-page: 397
  year: 1993
  ident: 10.1016/j.mcm.2011.08.006_br000145
  article-title: A penalty function approach for solving bi-level linear programs
  publication-title: Journal of Global Optimization
  doi: 10.1007/BF01096412
– volume: 1
  start-page: 45
  year: 1978
  ident: 10.1016/j.mcm.2011.08.006_br000265
  article-title: Fuzzy programming and linear programming with several objective functions
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(78)90031-3
– volume: 176
  start-page: 1151
  year: 2007
  ident: 10.1016/j.mcm.2011.08.006_br000210
  article-title: Fuzzy goal programming approach to multilevel programming problems
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2005.08.024
– year: 1997
  ident: 10.1016/j.mcm.2011.08.006_br000260
– volume: 34
  start-page: 89
  year: 1992
  ident: 10.1016/j.mcm.2011.08.006_br000140
  article-title: A sequential LCP method for bi-level linear programming
  publication-title: Annals of Operations Research
  doi: 10.1007/BF02098174
– volume: 77
  start-page: 291
  year: 1996
  ident: 10.1016/j.mcm.2011.08.006_br000040
  article-title: Fuzziness and randomness in an optimization framework
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/0165-0114(95)00043-7
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Snippet In this paper, assuming cooperative behavior of the decision makers, solution methods for decision making problems in hierarchical organizations under fuzzy...
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SubjectTerms decision making
Exact sciences and technology
Fractile criterion optimization
Fuzzy mathematical programming
Fuzzy random variable
Gaussian distribution
Interactive decision making
Level set
linear programming
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming
Numerical methods in mathematical programming, optimization and calculus of variations
Sciences and techniques of general use
Two-level linear programming problem
Title Interactive fuzzy random two-level linear programming through fractile criterion optimization
URI https://dx.doi.org/10.1016/j.mcm.2011.08.006
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