An interactive algorithm for decomposing the parametric space in fuzzy multiobjective dynamic programming problem
The aim of this paper is to study the stability of multiobjective dynamic programming (MODP) problems with fuzzy parameters in the objective functions and in the constraints. These fuzzy parameters are characterized by fuzzy numbers. For such problems, concept and notion of the stability set of the...
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| Veröffentlicht in: | Applied mathematics and computation Jg. 174; H. 1; S. 684 - 699 |
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| Abstract | The aim of this paper is to study the stability of multiobjective dynamic programming (MODP) problems with fuzzy parameters in the objective functions and in the constraints. These fuzzy parameters are characterized by fuzzy numbers. For such problems, concept and notion of the stability set of the first kind in parametric nonlinear programming problems are redefined and analyzed qualitatively under the concept of
α-Pareto optimality. An interactive fuzzy decision making algorithm for the determination of any subset of the parametric space which has the same corresponding
α-Pareto optimal solution is proposed. A numerical example is given to illustrate the method developed in the paper. |
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| AbstractList | The aim of this paper is to study the stability of multiobjective dynamic programming (MODP) problems with fuzzy parameters in the objective functions and in the constraints. These fuzzy parameters are characterized by fuzzy numbers. For such problems, concept and notion of the stability set of the first kind in parametric nonlinear programming problems are redefined and analyzed qualitatively under the concept of
α-Pareto optimality. An interactive fuzzy decision making algorithm for the determination of any subset of the parametric space which has the same corresponding
α-Pareto optimal solution is proposed. A numerical example is given to illustrate the method developed in the paper. |
| Author | El Sayed, Hend H. Amer, A.H. Abo-Sinna, Mahmoud A. |
| Author_xml | – sequence: 1 givenname: Mahmoud A. surname: Abo-Sinna fullname: Abo-Sinna, Mahmoud A. email: mabosinna2000@yahoo.com organization: Department of Basic Engineering Science, Faculty of Engineering, EL-Menoufia University, Shebin EL-kom, Egypt – sequence: 2 givenname: A.H. surname: Amer fullname: Amer, A.H. organization: Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt – sequence: 3 givenname: Hend H. surname: El Sayed fullname: El Sayed, Hend H. organization: Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt |
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| Cites_doi | 10.1109/TSMC.1983.6313026 10.21136/AM.1977.103711 10.1016/0165-0114(89)90043-2 10.1016/0377-2217(94)90249-6 10.1016/0377-2217(90)90318-6 10.1016/0377-2217(93)E0219-N 10.1016/0165-0114(93)90286-Q 10.21136/AM.1977.103710 10.2140/pjm.1967.21.167 10.1016/0165-0114(84)90022-8 10.1080/00207727908941602 10.1016/0165-0114(90)90188-C 10.1287/mnsc.17.4.B141 10.1016/0378-4754(93)90062-Y 10.1016/0165-0114(94)00334-4 10.1016/j.amc.2003.08.083 |
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| Keywords | Fuzzy multiobjective dynamic programming problems Stability Parametric analysis α-Pareto optimality Fuzzy numbers Interactive decision making Interactive programming Pareto optimum Decision making Multiobjective programming Parametric programming Fuzzy programming Non linear programming Numerical analysis Fuzzy algorithm Applied mathematics Optimal solution Fuzzy number Dynamic programming |
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| References | Mine, Fukushima (bib2) 1979; 10 Chankong, Haimes (bib23) 1983 Bellman, Zadeh (bib6) 1970; 17 A.O. Esogbue, R.E. Bellman, Fuzzy dynamic programming and its extensions, in: H.J. Zimmerman et al. (Eds.), Times/Studies in the M Management Sciences, vol. 20, 1984, pp. 147–167. Abo-Sinna, Hussien (bib4) 1994; 73 Saad (bib15) 1995; 74 Osman, El-Banna (bib20) 1993; 35 Mangasarian (bib24) 1969 Tanaka, Asai (bib16) 1984; 13 Sakawa, Yano (bib19) 1990; 35 Osman (bib11) 1977; 22 Abo-Sinna (bib25) 2002; 10 Abo-Sinna, Hussien (bib5) 1995; 80 Sakawa, Yano (bib18) 1989; 29 Abo-Sinna (bib26) 2004; 157 M. Osman, J. Dauer, Characterization of Basic Notions in Multiobjective Convex Programming Problems, Technical Report, Lincoln, NE, USA, 1983. Abo-Sinna (bib14) 1998; 6 Dubois, Prade (bib21) 1980 Bellman (bib1) 1957 Rockafellar (bib22) 1967; 21 Esogbue (bib9) 1983; SMC-13 Zimmerman (bib7) 1985 Carraway, Morin, Moskowitz (bib3) 1990; 44 Orlovski (bib17) 1984; 13 Osman (bib12) 1977; 22 Hussein, Abo-Sinna (bib10) 1993; 60 Bellman (10.1016/j.amc.2005.04.107_bib6) 1970; 17 Abo-Sinna (10.1016/j.amc.2005.04.107_bib5) 1995; 80 Esogbue (10.1016/j.amc.2005.04.107_bib9) 1983; SMC-13 Rockafellar (10.1016/j.amc.2005.04.107_bib22) 1967; 21 Carraway (10.1016/j.amc.2005.04.107_bib3) 1990; 44 Osman (10.1016/j.amc.2005.04.107_bib20) 1993; 35 10.1016/j.amc.2005.04.107_bib13 Sakawa (10.1016/j.amc.2005.04.107_bib19) 1990; 35 Zimmerman (10.1016/j.amc.2005.04.107_bib7) 1985 Chankong (10.1016/j.amc.2005.04.107_bib23) 1983 Osman (10.1016/j.amc.2005.04.107_bib12) 1977; 22 Bellman (10.1016/j.amc.2005.04.107_bib1) 1957 Abo-Sinna (10.1016/j.amc.2005.04.107_bib4) 1994; 73 10.1016/j.amc.2005.04.107_bib8 Tanaka (10.1016/j.amc.2005.04.107_bib16) 1984; 13 Saad (10.1016/j.amc.2005.04.107_bib15) 1995; 74 Sakawa (10.1016/j.amc.2005.04.107_bib18) 1989; 29 Dubois (10.1016/j.amc.2005.04.107_bib21) 1980 Abo-Sinna (10.1016/j.amc.2005.04.107_bib14) 1998; 6 Mangasarian (10.1016/j.amc.2005.04.107_bib24) 1969 Hussein (10.1016/j.amc.2005.04.107_bib10) 1993; 60 Abo-Sinna (10.1016/j.amc.2005.04.107_bib25) 2002; 10 Osman (10.1016/j.amc.2005.04.107_bib11) 1977; 22 Orlovski (10.1016/j.amc.2005.04.107_bib17) 1984; 13 Mine (10.1016/j.amc.2005.04.107_bib2) 1979; 10 Abo-Sinna (10.1016/j.amc.2005.04.107_bib26) 2004; 157 |
| References_xml | – volume: 80 start-page: 156 year: 1995 end-page: 165 ident: bib5 article-title: An algorithm for generating efficient solutions of multiobjective dynamic programming problems publication-title: European Journal of Operation Research – volume: 29 start-page: 315 year: 1989 end-page: 326 ident: bib18 article-title: Interactive decision making for multiobjective nonlinear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems – volume: 10 start-page: 423 year: 2002 end-page: 439 ident: bib25 article-title: Generating publication-title: The Journal of Fuzzy Mathematics – year: 1957 ident: bib1 article-title: Dynamic Programming – volume: 13 start-page: 175 year: 1984 end-page: 183 ident: bib17 article-title: Multiobjective programming problem with fuzzy parameters publication-title: Control Cybernet – year: 1969 ident: bib24 article-title: Nonlinear Programming – volume: 17 start-page: 141 year: 1970 end-page: 164 ident: bib6 article-title: Decision making in a fuzzy environment publication-title: Management Science – volume: 22 start-page: 318 year: 1977 end-page: 332 ident: bib11 article-title: Qualitative analysis of basic notions in parametric convex programming. I. Parameters in the constraints publication-title: Applied Mathematics – reference: M. Osman, J. Dauer, Characterization of Basic Notions in Multiobjective Convex Programming Problems, Technical Report, Lincoln, NE, USA, 1983. – year: 1983 ident: bib23 article-title: Multiobjective Decision Making: Theory and Methodology – volume: 35 start-page: 125 year: 1990 end-page: 142 ident: bib19 article-title: An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems – volume: 73 start-page: 532 year: 1994 end-page: 538 ident: bib4 article-title: An algorithm for decomposing the parametric space in multiobjective dynamic programming problems publication-title: European Journal of Operation Research – volume: 157 start-page: 861 year: 2004 end-page: 888 ident: bib26 article-title: Multiple objective (fuzzy) dynamic programming problems: a survey and some applications publication-title: The Journal of Applied Mathematics and computation – volume: 44 start-page: 95 year: 1990 end-page: 104 ident: bib3 article-title: Generalized dynamic programming for multicriteria optimization publication-title: European Journal of Operational Research – volume: 13 start-page: 1 year: 1984 end-page: 10 ident: bib16 article-title: Fuzzy linear programming problems with fuzzy numbers publication-title: Fuzzy Sets and System – year: 1985 ident: bib7 article-title: Fuzzy Set Theory and Its Applications, International Series in Management Science/operations Research – volume: 35 start-page: 321 year: 1993 end-page: 326 ident: bib20 article-title: Stability of multiobjective of nonlinear programming with fuzzy parameters publication-title: Mathematics and Computers in Simulation – year: 1980 ident: bib21 article-title: Fuzzy Sets and Systems: Theory and Applications – volume: SMC-13 start-page: 18 year: 1983 end-page: 30 ident: bib9 article-title: Dynamic programming, fuzzy sets, and the modeling of R&D management control systems publication-title: IEEE Transactions on System Man and Cybernetics – volume: 60 start-page: 25 year: 1993 end-page: 32 ident: bib10 article-title: Decomposition of multiobjective programming problems by hybrid fuzzy-dynamic programming publication-title: Fuzzy Sets and Systems – volume: 22 start-page: 333 year: 1977 end-page: 348 ident: bib12 article-title: Qualitative analysis of basic notions in parametric convex programming. I. Parameters in the objective function publication-title: Applied Mathematics – volume: 74 start-page: 207 year: 1995 end-page: 215 ident: bib15 article-title: Stability on multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems – reference: A.O. Esogbue, R.E. Bellman, Fuzzy dynamic programming and its extensions, in: H.J. Zimmerman et al. (Eds.), Times/Studies in the M Management Sciences, vol. 20, 1984, pp. 147–167. – volume: 10 start-page: 557 year: 1979 end-page: 566 ident: bib2 article-title: Decomposition of multiple criteria mathematical programming by dynamic programming publication-title: International Journal of System Science – volume: 6 start-page: 891 year: 1998 end-page: 904 ident: bib14 article-title: Stability of multiobjective dynamic programming problems with fuzzy parameters publication-title: The Journal of Fuzzy Mathematics – volume: 21 start-page: 167 year: 1967 end-page: 181 ident: bib22 article-title: Duality and stability in external problems involving convex functions publication-title: Pacific Journal on Mathematics – volume: SMC-13 start-page: 18 issue: 1 year: 1983 ident: 10.1016/j.amc.2005.04.107_bib9 article-title: Dynamic programming, fuzzy sets, and the modeling of R&D management control systems publication-title: IEEE Transactions on System Man and Cybernetics doi: 10.1109/TSMC.1983.6313026 – ident: 10.1016/j.amc.2005.04.107_bib13 – volume: 22 start-page: 333 year: 1977 ident: 10.1016/j.amc.2005.04.107_bib12 article-title: Qualitative analysis of basic notions in parametric convex programming. I. Parameters in the objective function publication-title: Applied Mathematics doi: 10.21136/AM.1977.103711 – volume: 29 start-page: 315 issue: 3 year: 1989 ident: 10.1016/j.amc.2005.04.107_bib18 article-title: Interactive decision making for multiobjective nonlinear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(89)90043-2 – volume: 73 start-page: 532 year: 1994 ident: 10.1016/j.amc.2005.04.107_bib4 article-title: An algorithm for decomposing the parametric space in multiobjective dynamic programming problems publication-title: European Journal of Operation Research doi: 10.1016/0377-2217(94)90249-6 – volume: 10 start-page: 423 issue: 1 year: 2002 ident: 10.1016/j.amc.2005.04.107_bib25 article-title: Generating α-Pareto optimal solution to multiobjective nonlinear programming problems with fuzzy parameters: a decomposition method publication-title: The Journal of Fuzzy Mathematics – year: 1983 ident: 10.1016/j.amc.2005.04.107_bib23 – year: 1957 ident: 10.1016/j.amc.2005.04.107_bib1 – volume: 44 start-page: 95 year: 1990 ident: 10.1016/j.amc.2005.04.107_bib3 article-title: Generalized dynamic programming for multicriteria optimization publication-title: European Journal of Operational Research doi: 10.1016/0377-2217(90)90318-6 – year: 1969 ident: 10.1016/j.amc.2005.04.107_bib24 – volume: 80 start-page: 156 year: 1995 ident: 10.1016/j.amc.2005.04.107_bib5 article-title: An algorithm for generating efficient solutions of multiobjective dynamic programming problems publication-title: European Journal of Operation Research doi: 10.1016/0377-2217(93)E0219-N – volume: 13 start-page: 175 issue: 3 year: 1984 ident: 10.1016/j.amc.2005.04.107_bib17 article-title: Multiobjective programming problem with fuzzy parameters publication-title: Control Cybernet – volume: 60 start-page: 25 year: 1993 ident: 10.1016/j.amc.2005.04.107_bib10 article-title: Decomposition of multiobjective programming problems by hybrid fuzzy-dynamic programming publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(93)90286-Q – volume: 22 start-page: 318 year: 1977 ident: 10.1016/j.amc.2005.04.107_bib11 article-title: Qualitative analysis of basic notions in parametric convex programming. I. Parameters in the constraints publication-title: Applied Mathematics doi: 10.21136/AM.1977.103710 – volume: 21 start-page: 167 year: 1967 ident: 10.1016/j.amc.2005.04.107_bib22 article-title: Duality and stability in external problems involving convex functions publication-title: Pacific Journal on Mathematics doi: 10.2140/pjm.1967.21.167 – volume: 13 start-page: 1 issue: 3 year: 1984 ident: 10.1016/j.amc.2005.04.107_bib16 article-title: Fuzzy linear programming problems with fuzzy numbers publication-title: Fuzzy Sets and System doi: 10.1016/0165-0114(84)90022-8 – volume: 10 start-page: 557 issue: 15 year: 1979 ident: 10.1016/j.amc.2005.04.107_bib2 article-title: Decomposition of multiple criteria mathematical programming by dynamic programming publication-title: International Journal of System Science doi: 10.1080/00207727908941602 – volume: 35 start-page: 125 year: 1990 ident: 10.1016/j.amc.2005.04.107_bib19 article-title: An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(90)90188-C – year: 1980 ident: 10.1016/j.amc.2005.04.107_bib21 – volume: 17 start-page: 141 issue: 14 year: 1970 ident: 10.1016/j.amc.2005.04.107_bib6 article-title: Decision making in a fuzzy environment publication-title: Management Science doi: 10.1287/mnsc.17.4.B141 – volume: 35 start-page: 321 year: 1993 ident: 10.1016/j.amc.2005.04.107_bib20 article-title: Stability of multiobjective of nonlinear programming with fuzzy parameters publication-title: Mathematics and Computers in Simulation doi: 10.1016/0378-4754(93)90062-Y – ident: 10.1016/j.amc.2005.04.107_bib8 – volume: 74 start-page: 207 year: 1995 ident: 10.1016/j.amc.2005.04.107_bib15 article-title: Stability on multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(94)00334-4 – volume: 157 start-page: 861 year: 2004 ident: 10.1016/j.amc.2005.04.107_bib26 article-title: Multiple objective (fuzzy) dynamic programming problems: a survey and some applications publication-title: The Journal of Applied Mathematics and computation doi: 10.1016/j.amc.2003.08.083 – year: 1985 ident: 10.1016/j.amc.2005.04.107_bib7 – volume: 6 start-page: 891 issue: 4 year: 1998 ident: 10.1016/j.amc.2005.04.107_bib14 article-title: Stability of multiobjective dynamic programming problems with fuzzy parameters publication-title: The Journal of Fuzzy Mathematics |
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| SubjectTerms | Applied sciences Calculus of variations and optimal control Exact sciences and technology Fuzzy multiobjective dynamic programming problems Fuzzy numbers Interactive decision making Mathematical analysis Mathematical programming Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming Numerical methods in mathematical programming, optimization and calculus of variations Operational research and scientific management Operational research. Management science Parametric analysis Sciences and techniques of general use Stability α-Pareto optimality |
| Title | An interactive algorithm for decomposing the parametric space in fuzzy multiobjective dynamic programming problem |
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