Bi-Level linear programming of intuitionistic fuzzy

In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition of the relationship DM. to obtained adequate solution, DMs will updating the minimal adequate level at upper level permanently, and that is...

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Vydáno v:Soft computing (Berlin, Germany) Ročník 25; číslo 13; s. 8635 - 8641
Hlavní autor: Alessa, Nazek A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2021
Springer Nature B.V
Témata:
Algorithms
Artificial Intelligence
Computational Intelligence
Control
Decision making
Engineering
Fuzzy sets
Fuzzy Systems and Their Mathematics
Linear programming
Mathematical Logic and Foundations
Mathematical programming
Mechatronics
Robotics
Intuitionistic fuzzy
Multi-Objective Linear Programming Problem
90C32
90C99
Satisfying degree
90C29
Bi-Level Linear Fractional Programming
Interactive approach
90C70
ISSN:1432-7643, 1433-7479
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Abstract In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition of the relationship DM. to obtained adequate solution, DMs will updating the minimal adequate level at upper level permanently, and that is through. Firstly, the decision makers uncertainty is described by introducing the membership function and non-membership function. Secondly, the opting of minimum adequate degree, leads to obtain the adequate solution, with the overall adequate balance considerations among two levels. For more, this paper gives an algorithm of the proposed approach. At the end, we give a numerical example to explain the feasibility of that approach.
AbstractList In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition of the relationship DM. to obtained adequate solution, DMs will updating the minimal adequate level at upper level permanently, and that is through. Firstly, the decision makers uncertainty is described by introducing the membership function and non-membership function. Secondly, the opting of minimum adequate degree, leads to obtain the adequate solution, with the overall adequate balance considerations among two levels. For more, this paper gives an algorithm of the proposed approach. At the end, we give a numerical example to explain the feasibility of that approach.
Author Alessa, Nazek A.
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  givenname: Nazek A.
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  organization: Department of Mathematical Science, Faculty of Science, Princess Nourah Bint Abdulrahman University
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CitedBy_id crossref_primary_10_1016_j_asoc_2023_111157
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crossref_primary_10_1007_s40747_022_00662_4
crossref_primary_10_1016_j_jocs_2023_102075
crossref_primary_10_1016_j_eswa_2024_125122
Cites_doi 10.1007/BF01096458
10.1016/j.jcss.2004.06.002
10.1504/IJMOR.2020.106919
10.1002/nav.3800090303
10.1007/s11859-015-1068-y
10.1007/s40815-015-0108-2
10.1016/S0165-0114(96)00009-7
10.1016/S0898-1221(98)00118-7
10.1016/S0165-0114(01)00060-4
10.1080/0233193031000149894
10.1016/j.apm.2013.11.008
10.1007/978-1-4757-2836-1
10.1016/j.ejor.2006.04.009
10.1016/S0165-0114(86)80034-3
10.1016/S0165-0114(02)00374-3
10.1016/j.amc.2013.07.085
10.1016/0165-0114(94)90084-1
10.1007/s40305-018-0234-2
10.14569/IJACSA.2017.080506
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Issue 13
Keywords Intuitionistic fuzzy
Multi-Objective Linear Programming Problem
90C32
90C99
Satisfying degree
90C29
Bi-Level Linear Fractional Programming
Interactive approach
90C70
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References Huang, Fnang, Wan (CR12) 2015; 20
Sakawa, Nishizaki (CR20) 2012; 3
Pal, Moitra, Maulik (CR17) 2003; 139
CR18
CR16
Ejegwa, Akowe, Otene, Ikyule (CR10) 2014; 3
Zheng, Liu, Wan (CR26) 2014; 38
Mahapatra (CR15) 2010; 12
Li (CR13) 2005; 70
Liu, Wang (CR14) 2007; 179
Sakawa, Nishizaki (CR19) 2009
Dempe (CR8) 2002
Vicente, Calamai (CR25) 1994; 5
Angelov (CR1) 1997; 86
Emam (CR11) 2013; 223
CR4
Sapan, Edalatpanah (CR22) 2020; 1
Bard (CR3) 1998
CR7
Sakawa, Nishizaki, Uemura (CR21) 1998; 36
Subject, Shiv (CR23) 2016; 18
Dempe (CR9) 2003; 52
Sumit Kumar, Sankar Kumar (CR24) 2020; 16
Atanassov (CR2) 1986; 20
Charnes, Cooper (CR6) 1962; 9
Chakraborty, Gapta (CR5) 2002; 125
C Huang (5791_CR12) 2015; 20
A Charnes (5791_CR6) 1962; 9
PA Ejegwa (5791_CR10) 2014; 3
Y Zheng (5791_CR26) 2014; 38
KD Sapan (5791_CR22) 2020; 1
M Chakraborty (5791_CR5) 2002; 125
5791_CR7
DF Li (5791_CR13) 2005; 70
5791_CR4
M Sakawa (5791_CR19) 2009
S Dempe (5791_CR8) 2002
M Sakawa (5791_CR20) 2012; 3
M Sumit Kumar (5791_CR24) 2020; 16
S Dempe (5791_CR9) 2003; 52
OE Emam (5791_CR11) 2013; 223
B Pal (5791_CR17) 2003; 139
L Vicente (5791_CR25) 1994; 5
M Sakawa (5791_CR21) 1998; 36
KT Atanassov (5791_CR2) 1986; 20
KS Subject (5791_CR23) 2016; 18
HW Liu (5791_CR14) 2007; 179
PP Angelov (5791_CR1) 1997; 86
JF Bard (5791_CR3) 1998
GS Mahapatra (5791_CR15) 2010; 12
5791_CR18
5791_CR16
References_xml – volume: 223
  start-page: 17
  year: 2013
  end-page: 24
  ident: CR11
  article-title: Interactive approach to bi-level integer multi-objective fractional programming problems
  publication-title: Appl Math Comput
– volume: 5
  start-page: 291
  issue: 3
  year: 1994
  end-page: 306
  ident: CR25
  article-title: Bilevel and Multilevel Programming: a bibliography review [J]
  publication-title: J Global Optim
  doi: 10.1007/BF01096458
– ident: CR18
– year: 2009
  ident: CR19
  publication-title: Cooperative and noncooperation multi-level programming [M]
– ident: CR4
– volume: 70
  start-page: 73
  issue: 1
  year: 2005
  end-page: 85
  ident: CR13
  article-title: Multiattribute decision making models and methods using intuitionistic fuzzy sets [J]
  publication-title: J Comput Syst Sci
  doi: 10.1016/j.jcss.2004.06.002
– ident: CR16
– volume: 3
  start-page: 241
  issue: 2
  year: 2012
  end-page: 266
  ident: CR20
  article-title: Interactive Fuzzy Programming for multi-level programming problems: a review [J]
  publication-title: Int J Multicviteria Dec Mak
– volume: 16
  start-page: 354
  issue: 3
  year: 2020
  end-page: 375
  ident: CR24
  article-title: Analysing interval and multi-choice bi-level programming for Stackelberg game using intuitionistic fuzzy programming
  publication-title: Int J Math Oper Res
  doi: 10.1504/IJMOR.2020.106919
– volume: 9
  start-page: 181
  issue: 3–4
  year: 1962
  end-page: 186
  ident: CR6
  article-title: Programming with linear fractional Functions
  publication-title: Naval Res Log Qual
  doi: 10.1002/nav.3800090303
– volume: 20
  start-page: 113
  issue: 2
  year: 2015
  end-page: 118
  ident: CR12
  article-title: An interactive intuitionistic fuzzy method for multilevel linear programming problems
  publication-title: Wuhan Univ J Nat Sci
  doi: 10.1007/s11859-015-1068-y
– volume: 18
  start-page: 263
  issue: 2
  year: 2016
  end-page: 269
  ident: CR23
  article-title: Fuzzy programming approach for solving intuitionistic fuzzy linear fractional programming problem
  publication-title: Int J Fuzzy Syst
  doi: 10.1007/s40815-015-0108-2
– volume: 86
  start-page: 299
  issue: 3
  year: 1997
  end-page: 306
  ident: CR1
  article-title: Optimization in an intuitionistic Fuzzy environment [J]
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(96)00009-7
– volume: 1
  start-page: 1
  year: 2020
  end-page: 7
  ident: CR22
  article-title: New insight on solving fuzzy linear fractional programming in material aspects
  publication-title: Fuzzy Optim Modell
– volume: 36
  start-page: 71
  issue: 2
  year: 1998
  end-page: 86
  ident: CR21
  article-title: Interactive Fuzzy Programming for multilevel linear programming problems [J]
  publication-title: Comput Math Appl
  doi: 10.1016/S0898-1221(98)00118-7
– volume: 12
  start-page: 259
  issue: 3
  year: 2010
  end-page: 266
  ident: CR15
  article-title: Intuitionistic fuzzy multi-objective mathematical programming on reliability optimization model [J]
  publication-title: Int J Fuzzy Syst
– volume: 125
  start-page: 335
  issue: 3
  year: 2002
  end-page: 342
  ident: CR5
  article-title: Fuzzy Mathematical Programming for multi-objective Linear fractional programming problem
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(01)00060-4
– volume: 52
  start-page: 333
  issue: 3
  year: 2003
  end-page: 359
  ident: CR9
  article-title: Annotated bibliography on bilevel program and mathematical programs with equilibrium constraints [J]
  publication-title: Optimization
  doi: 10.1080/0233193031000149894
– volume: 38
  start-page: 3136
  issue: 13
  year: 2014
  end-page: 3141
  ident: CR26
  article-title: Interactive fuzzy decision making method for solving bilevel programming problem [J]
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2013.11.008
– year: 1998
  ident: CR3
  publication-title: Practical Bilevel Optimization: Algorithms and Applications [M]
  doi: 10.1007/978-1-4757-2836-1
– volume: 179
  start-page: 220
  issue: 1
  year: 2007
  end-page: 233
  ident: CR14
  article-title: Multi-Criteria decision-making methods based on intuitionistic fuzzy sets [J]
  publication-title: European J Oper Res
  doi: 10.1016/j.ejor.2006.04.009
– year: 2002
  ident: CR8
  publication-title: Foundations of Bilevel Programming [M]
– volume: 20
  start-page: 87
  issue: 1
  year: 1986
  end-page: 96
  ident: CR2
  article-title: Intuitionistic Fuzzy Sets [J]
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(86)80034-3
– ident: CR7
– volume: 139
  start-page: 395
  issue: 2
  year: 2003
  end-page: 405
  ident: CR17
  article-title: A goal programming procedure for fuzzy and multiobjective linear fractional programming problem
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(02)00374-3
– volume: 3
  start-page: 142
  issue: 3
  year: 2014
  end-page: 145
  ident: CR10
  article-title: An overview on intuitionistic fuzzy sets
  publication-title: Int J Sci Technol Res
– volume: 1
  start-page: 1
  year: 2020
  ident: 5791_CR22
  publication-title: Fuzzy Optim Modell
– volume: 18
  start-page: 263
  issue: 2
  year: 2016
  ident: 5791_CR23
  publication-title: Int J Fuzzy Syst
  doi: 10.1007/s40815-015-0108-2
– volume: 16
  start-page: 354
  issue: 3
  year: 2020
  ident: 5791_CR24
  publication-title: Int J Math Oper Res
  doi: 10.1504/IJMOR.2020.106919
– volume: 12
  start-page: 259
  issue: 3
  year: 2010
  ident: 5791_CR15
  publication-title: Int J Fuzzy Syst
– volume-title: Cooperative and noncooperation multi-level programming [M]
  year: 2009
  ident: 5791_CR19
– volume: 5
  start-page: 291
  issue: 3
  year: 1994
  ident: 5791_CR25
  publication-title: J Global Optim
  doi: 10.1007/BF01096458
– volume: 20
  start-page: 87
  issue: 1
  year: 1986
  ident: 5791_CR2
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(86)80034-3
– volume: 223
  start-page: 17
  year: 2013
  ident: 5791_CR11
  publication-title: Appl Math Comput
  doi: 10.1016/j.amc.2013.07.085
– volume: 36
  start-page: 71
  issue: 2
  year: 1998
  ident: 5791_CR21
  publication-title: Comput Math Appl
  doi: 10.1016/S0898-1221(98)00118-7
– ident: 5791_CR7
  doi: 10.1016/0165-0114(94)90084-1
– volume: 179
  start-page: 220
  issue: 1
  year: 2007
  ident: 5791_CR14
  publication-title: European J Oper Res
  doi: 10.1016/j.ejor.2006.04.009
– volume: 9
  start-page: 181
  issue: 3–4
  year: 1962
  ident: 5791_CR6
  publication-title: Naval Res Log Qual
  doi: 10.1002/nav.3800090303
– ident: 5791_CR16
  doi: 10.1007/s40305-018-0234-2
– volume: 139
  start-page: 395
  issue: 2
  year: 2003
  ident: 5791_CR17
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(02)00374-3
– volume: 3
  start-page: 142
  issue: 3
  year: 2014
  ident: 5791_CR10
  publication-title: Int J Sci Technol Res
– volume-title: Practical Bilevel Optimization: Algorithms and Applications [M]
  year: 1998
  ident: 5791_CR3
  doi: 10.1007/978-1-4757-2836-1
– volume: 125
  start-page: 335
  issue: 3
  year: 2002
  ident: 5791_CR5
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(01)00060-4
– ident: 5791_CR4
– volume-title: Foundations of Bilevel Programming [M]
  year: 2002
  ident: 5791_CR8
– volume: 3
  start-page: 241
  issue: 2
  year: 2012
  ident: 5791_CR20
  publication-title: Int J Multicviteria Dec Mak
– volume: 70
  start-page: 73
  issue: 1
  year: 2005
  ident: 5791_CR13
  publication-title: J Comput Syst Sci
  doi: 10.1016/j.jcss.2004.06.002
– volume: 86
  start-page: 299
  issue: 3
  year: 1997
  ident: 5791_CR1
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(96)00009-7
– volume: 20
  start-page: 113
  issue: 2
  year: 2015
  ident: 5791_CR12
  publication-title: Wuhan Univ J Nat Sci
  doi: 10.1007/s11859-015-1068-y
– volume: 38
  start-page: 3136
  issue: 13
  year: 2014
  ident: 5791_CR26
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2013.11.008
– ident: 5791_CR18
  doi: 10.14569/IJACSA.2017.080506
– volume: 52
  start-page: 333
  issue: 3
  year: 2003
  ident: 5791_CR9
  publication-title: Optimization
  doi: 10.1080/0233193031000149894
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Snippet In this research paper, we will solve problems of Bi-level linear fractional programming (BL-LFP) by proposing an interactive approach. Based on the imposition...
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SubjectTerms Algorithms
Artificial Intelligence
Computational Intelligence
Control
Decision making
Engineering
Fuzzy sets
Fuzzy Systems and Their Mathematics
Linear programming
Mathematical Logic and Foundations
Mathematical programming
Mechatronics
Robotics
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Title Bi-Level linear programming of intuitionistic fuzzy
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