Pareto-optimal solution for multiple objective linear programming problems with fuzzy goals

Several methods have been addressed to attain fuzzy-efficient solution for the multiple objective linear programming problems with fuzzy goals (FMOLP) in the literature. Recently, Jimenez and Bilbao showed that a fuzzy-efficient solution may not guarantee to be a Pareto-optimal solution in the case...

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Published in:	Fuzzy optimization and decision making Vol. 14; no. 1; pp. 43 - 55
Main Authors:	Wu, Yan-Kuen, Liu, Chia-Cheng, Lur, Yung-Yih
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.03.2015 Springer Nature B.V
Subjects:	Artificial Intelligence Calculus of Variations and Optimal Control; Optimization Decision making Fuzzy Fuzzy logic Fuzzy set theory Fuzzy sets Linear programming Mathematical analysis Mathematical Logic and Foundations Mathematical models Mathematics Mathematics and Statistics Multiple objective Operations Research/Decision Theory Optimization Pareto optimum Probability Theory and Stochastic Processes Production planning Simplex method Studies Fuzzy-efficient solution Pareto-optimal solution Multiple objective linear programming problems Two-phase approach
ISSN:	1568-4539, 1573-2908
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Abstract	Several methods have been addressed to attain fuzzy-efficient solution for the multiple objective linear programming problems with fuzzy goals (FMOLP) in the literature. Recently, Jimenez and Bilbao showed that a fuzzy-efficient solution may not guarantee to be a Pareto-optimal solution in the case that one of fuzzy goals is fully achieved. To show this point they employ Guu and Wu’s two-phase approach to obtain a fuzzy-efficient solution first, then a model like a conventional goal programming problem is proposed to find a Pareto-optimal solution. In this study, a new simplified two-phase approach is proposed to find a Pareto-optimal solution for FMOLP without relying on the results of Guu and Wu’s two-phase approach. This new simplified two-phase approach not only obtains the Pareto-optimal solution but also provides more potential information for decision makers. Precisely, decision makers can find out whether the fuzzy goals of objective function are overestimated or not and the amount of overestimation can easily be computed if it exists.
AbstractList	Several methods have been addressed to attain fuzzy-efficient solution for the multiple objective linear programming problems with fuzzy goals (FMOLP) in the literature. Recently, Jimenez and Bilbao showed that a fuzzy-efficient solution may not guarantee to be a Pareto-optimal solution in the case that one of fuzzy goals is fully achieved. To show this point they employ Guu and Wu's two-phase approach to obtain a fuzzy-efficient solution first, then a model like a conventional goal programming problem is proposed to find a Pareto-optimal solution. In this study, a new simplified two-phase approach is proposed to find a Pareto-optimal solution for FMOLP without relying on the results of Guu and Wu's two-phase approach. This new simplified two-phase approach not only obtains the Pareto-optimal solution but also provides more potential information for decision makers. Precisely, decision makers can find out whether the fuzzy goals of objective function are overestimated or not and the amount of overestimation can easily be computed if it exists.
Author	Liu, Chia-Cheng Wu, Yan-Kuen Lur, Yung-Yih
Author_xml	– sequence: 1 givenname: Yan-Kuen surname: Wu fullname: Wu, Yan-Kuen email: ykw@vnu.edu.tw organization: Department of Business Administration, Vanung University – sequence: 2 givenname: Chia-Cheng surname: Liu fullname: Liu, Chia-Cheng organization: Department of Industrial Management, Vanung University – sequence: 3 givenname: Yung-Yih surname: Lur fullname: Lur, Yung-Yih organization: Department of Industrial Management, Vanung University
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Cites_doi	10.1016/S0165-0114(97)00304-7 10.1016/j.ins.2008.03.003 10.1016/S0308-521X(99)00067-0 10.1007/s10700-009-9049-2 10.1007/s10700-010-9092-z 10.1016/S0377-2217(98)00307-5 10.1007/s11269-005-9015-x 10.1080/03081077608547470 10.1016/j.ins.2007.06.001 10.1016/0020-0255(85)90025-8 10.1016/j.cie.2003.09.009 10.1023/A:1025098722162 10.1016/j.agwat.2010.08.010 10.1016/j.ins.2007.08.002 10.1016/j.ins.2010.05.013 10.1016/j.fss.2008.12.005 10.1016/0305-0548(83)90003-5 10.1016/j.ins.2006.07.019 10.1016/j.ins.2009.01.005 10.1016/j.ins.2007.06.023 10.1007/978-1-4899-1633-4 10.1080/01969727308545912 10.1016/0165-0114(93)90399-3 10.1007/978-3-642-57949-3
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References	Dubois, Fortemps (CR2) 1999; 118 Sakawa (CR14) 1993 Ignizio (CR5) 1983; 10 Tanaka, Okuda, Asai (CR16) 1974; 3 Silva, Yamakami (CR15) 2011; 10 Tavakkoli-Moghaddam, Rahimi-Vahed, Mirzaei (CR17) 2007; 177 Özgen, Önüt, Gülsün, Tuzkaya, Tuzkaya (CR10) 2008; 178 Sahoo, Lohani, Sahu (CR13) 2006; 20 Qu, Suganthan (CR11) 2010; 180 Zimmermann (CR25) 1985; 36 Ripon, Kwong, Man (CR12) 2007; 177 Wu (CR21) 2009; 8 Arikan, Güngör (CR1) 2007; 177 Wang, Liang (CR18) 2004; 46 Guu, Wu (CR4) 1999; 107 Ignizio, Cavalier (CR6) 1994 Xu, Liu (CR22) 2008; 178 Zenga, Kanga, Li, Zhangc, Guoa (CR23) 2010; 98 Jimenez, Bilbao (CR7) 2009; 160 Wu (CR20) 2003; 2 Zimmermann (CR26) 1976; 2 Gupta, Harboe, Tabucanon (CR3) 2000; 63 Wang, Yang (CR19) 2009; 179 Lee, Li (CR9) 1993; 53 Zhou, Peng, Zhang, Xiao (CR24) 2007; 23 Lai, Hwang (CR8) 1994 YJ Lai (9192_CR8) 1994 JP Xu (9192_CR22) 2008; 178 X Zenga (9192_CR23) 2010; 98 Y Wang (9192_CR19) 2009; 179 E-S Lee (9192_CR9) 1993; 53 M Sakawa (9192_CR14) 1993 B Sahoo (9192_CR13) 2006; 20 D Özgen (9192_CR10) 2008; 178 D Dubois (9192_CR2) 1999; 118 RC Wang (9192_CR18) 2004; 46 R Tavakkoli-Moghaddam (9192_CR17) 2007; 177 M Jimenez (9192_CR7) 2009; 160 H-C Wu (9192_CR21) 2009; 8 HC Zhou (9192_CR24) 2007; 23 AP Gupta (9192_CR3) 2000; 63 JP Ignizio (9192_CR5) 1983; 10 H Tanaka (9192_CR16) 1974; 3 JP Ignizio (9192_CR6) 1994 S-M Guu (9192_CR4) 1999; 107 RC Silva (9192_CR15) 2011; 10 BY Qu (9192_CR11) 2010; 180 H-C Wu (9192_CR20) 2003; 2 F Arikan (9192_CR1) 2007; 177 H-J Zimmermann (9192_CR25) 1985; 36 H-J Zimmermann (9192_CR26) 1976; 2 KSN Ripon (9192_CR12) 2007; 177
References_xml	– volume: 107 start-page: 191 year: 1999 end-page: 195 ident: CR4 article-title: Two-phase approach for solving the fuzzy linear programming problems publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(97)00304-7 – volume: 178 start-page: 2899 year: 2008 end-page: 2914 ident: CR22 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: 63 start-page: 1 year: 2000 end-page: 18 ident: CR3 article-title: Fuzzy multiple-criteria decision making for crop area planning in Narmada river basin publication-title: Agricultural Systems doi: 10.1016/S0308-521X(99)00067-0 – volume: 8 start-page: 1 issue: 1 year: 2009 end-page: 28 ident: CR21 article-title: The Karush-Kuhn-Tucker optimality conditions for multi-objective programming problems with fuzzy-valued objective functions publication-title: Fuzzy Optimization and Decision Making doi: 10.1007/s10700-009-9049-2 – volume: 10 start-page: 11 issue: 1 year: 2011 end-page: 30 ident: CR15 article-title: The use of possibility theory in the definition of fuzzy Pareto-optimality publication-title: Fuzzy Optimization and Decision Making doi: 10.1007/s10700-010-9092-z – volume: 23 start-page: 45 issue: 9 year: 2007 end-page: 49 ident: CR24 article-title: Optimization and evaluation of multi-objective crop pattern based on irrigation water resources allocation publication-title: Transactions of the CSAE – volume: 118 start-page: 95 year: 1999 end-page: 126 ident: CR2 article-title: Computing improved optimal solutions to max-min flexible constraint satisfaction problems publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(98)00307-5 – volume: 20 start-page: 931 year: 2006 end-page: 948 ident: CR13 article-title: Fuzzy multi-objective and linear programming based management models for optimal land-water-crop system planning publication-title: Water Resources Management doi: 10.1007/s11269-005-9015-x – volume: 2 start-page: 209 year: 1976 end-page: 215 ident: CR26 article-title: Description and optimization of fuzzy systems publication-title: International Journal of General Systems doi: 10.1080/03081077608547470 – volume: 177 start-page: 5072 year: 2007 end-page: 5090 ident: CR17 article-title: A hybrid multi-objective immune algorithm for a flow shop scheduling problem with biobjectives: weighted mean completion time and weighted mean tardiness publication-title: Information Sciences doi: 10.1016/j.ins.2007.06.001 – volume: 36 start-page: 29 year: 1985 end-page: 58 ident: CR25 article-title: Applications of fuzzy set theory to mathematical programming publication-title: Information Sciences doi: 10.1016/0020-0255(85)90025-8 – volume: 46 start-page: 17 year: 2004 end-page: 41 ident: CR18 article-title: Application of fuzzy multi-objective linear programming to aggregate production planning publication-title: Computers and Industrial Engineering doi: 10.1016/j.cie.2003.09.009 – volume: 2 start-page: 261 issue: 3 year: 2003 end-page: 273 ident: CR20 article-title: Saddle point optimality conditions in fuzzy optimization problems publication-title: Fuzzy Optimization and Decision Making doi: 10.1023/A:1025098722162 – volume: 98 start-page: 134 year: 2010 end-page: 142 ident: CR23 article-title: Fuzzy multi-objective linear programming applying to crop area planning publication-title: Agricultural Water Management doi: 10.1016/j.agwat.2010.08.010 – volume: 178 start-page: 485 year: 2008 end-page: 500 ident: CR10 article-title: A two-phase possibilistic linear programming methodology for multi-objective supplier evaluation and order allocation problems publication-title: Information Sciences doi: 10.1016/j.ins.2007.08.002 – volume: 180 start-page: 3170 year: 2010 end-page: 3181 ident: CR11 article-title: Multi-objective evolutionary algorithms based on the summation of normalized objectives and diversified selection publication-title: Information Sciences doi: 10.1016/j.ins.2010.05.013 – volume: 160 start-page: 2714 year: 2009 end-page: 2721 ident: CR7 article-title: Pareto-optimal solutions in fuzzy multi-objective linear programming publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2008.12.005 – volume: 10 start-page: 277 issue: 4 year: 1983 end-page: 289 ident: CR5 article-title: Generalized goal programming publication-title: Computers and Operations Research doi: 10.1016/0305-0548(83)90003-5 – volume: 177 start-page: 632 year: 2007 end-page: 654 ident: CR12 article-title: A real-coding jumping gene genetic algorithm (RJGGA) for multi-objective optimization publication-title: Information Sciences doi: 10.1016/j.ins.2006.07.019 – volume: 179 start-page: 1944 year: 2009 end-page: 1959 ident: CR19 article-title: Particle swarm optimization with preference order ranking for multi-objective optimization publication-title: Information Sciences doi: 10.1016/j.ins.2009.01.005 – volume: 177 start-page: 5191 year: 2007 end-page: 5202 ident: CR1 article-title: A two-phase approach for multi-objective programming problems with fuzzy coefficients publication-title: Information Sciences doi: 10.1016/j.ins.2007.06.023 – year: 1993 ident: CR14 publication-title: Fuzzy sets and interactive multi-objective optimization doi: 10.1007/978-1-4899-1633-4 – volume: 3 start-page: 37 year: 1974 end-page: 46 ident: CR16 article-title: On fuzzy mathematical programming publication-title: Journal of Cybernetics doi: 10.1080/01969727308545912 – year: 1994 ident: CR6 publication-title: Linear programming – volume: 53 start-page: 275 year: 1993 end-page: 288 ident: CR9 article-title: Fuzzy multiple objective programming and compromise programming with Pareto optimum publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(93)90399-3 – year: 1994 ident: CR8 publication-title: Fuzzy multiple objective decision making methods and applications doi: 10.1007/978-3-642-57949-3 – volume: 2 start-page: 261 issue: 3 year: 2003 ident: 9192_CR20 publication-title: Fuzzy Optimization and Decision Making doi: 10.1023/A:1025098722162 – volume: 46 start-page: 17 year: 2004 ident: 9192_CR18 publication-title: Computers and Industrial Engineering doi: 10.1016/j.cie.2003.09.009 – volume: 107 start-page: 191 year: 1999 ident: 9192_CR4 publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(97)00304-7 – volume: 177 start-page: 632 year: 2007 ident: 9192_CR12 publication-title: Information Sciences doi: 10.1016/j.ins.2006.07.019 – volume: 177 start-page: 5072 year: 2007 ident: 9192_CR17 publication-title: Information Sciences doi: 10.1016/j.ins.2007.06.001 – volume: 2 start-page: 209 year: 1976 ident: 9192_CR26 publication-title: International Journal of General Systems doi: 10.1080/03081077608547470 – volume: 118 start-page: 95 year: 1999 ident: 9192_CR2 publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(98)00307-5 – volume: 3 start-page: 37 year: 1974 ident: 9192_CR16 publication-title: Journal of Cybernetics doi: 10.1080/01969727308545912 – volume: 98 start-page: 134 year: 2010 ident: 9192_CR23 publication-title: Agricultural Water Management doi: 10.1016/j.agwat.2010.08.010 – volume: 23 start-page: 45 issue: 9 year: 2007 ident: 9192_CR24 publication-title: Transactions of the CSAE – volume-title: Fuzzy sets and interactive multi-objective optimization year: 1993 ident: 9192_CR14 doi: 10.1007/978-1-4899-1633-4 – volume-title: Linear programming year: 1994 ident: 9192_CR6 – volume: 177 start-page: 5191 year: 2007 ident: 9192_CR1 publication-title: Information Sciences doi: 10.1016/j.ins.2007.06.023 – volume: 178 start-page: 485 year: 2008 ident: 9192_CR10 publication-title: Information Sciences doi: 10.1016/j.ins.2007.08.002 – volume: 10 start-page: 277 issue: 4 year: 1983 ident: 9192_CR5 publication-title: Computers and Operations Research doi: 10.1016/0305-0548(83)90003-5 – volume: 10 start-page: 11 issue: 1 year: 2011 ident: 9192_CR15 publication-title: Fuzzy Optimization and Decision Making doi: 10.1007/s10700-010-9092-z – volume: 179 start-page: 1944 year: 2009 ident: 9192_CR19 publication-title: Information Sciences doi: 10.1016/j.ins.2009.01.005 – volume: 63 start-page: 1 year: 2000 ident: 9192_CR3 publication-title: Agricultural Systems doi: 10.1016/S0308-521X(99)00067-0 – volume: 8 start-page: 1 issue: 1 year: 2009 ident: 9192_CR21 publication-title: Fuzzy Optimization and Decision Making doi: 10.1007/s10700-009-9049-2 – volume-title: Fuzzy multiple objective decision making methods and applications year: 1994 ident: 9192_CR8 doi: 10.1007/978-3-642-57949-3 – volume: 36 start-page: 29 year: 1985 ident: 9192_CR25 publication-title: Information Sciences doi: 10.1016/0020-0255(85)90025-8 – volume: 178 start-page: 2899 year: 2008 ident: 9192_CR22 publication-title: Information Sciences doi: 10.1016/j.ins.2008.03.003 – volume: 53 start-page: 275 year: 1993 ident: 9192_CR9 publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(93)90399-3 – volume: 180 start-page: 3170 year: 2010 ident: 9192_CR11 publication-title: Information Sciences doi: 10.1016/j.ins.2010.05.013 – volume: 160 start-page: 2714 year: 2009 ident: 9192_CR7 publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2008.12.005 – volume: 20 start-page: 931 year: 2006 ident: 9192_CR13 publication-title: Water Resources Management doi: 10.1007/s11269-005-9015-x
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Snippet	Several methods have been addressed to attain fuzzy-efficient solution for the multiple objective linear programming problems with fuzzy goals (FMOLP) in the...
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SubjectTerms	Artificial Intelligence Calculus of Variations and Optimal Control; Optimization Decision making Fuzzy Fuzzy logic Fuzzy set theory Fuzzy sets Linear programming Mathematical analysis Mathematical Logic and Foundations Mathematical models Mathematics Mathematics and Statistics Multiple objective Operations Research/Decision Theory Optimization Pareto optimum Probability Theory and Stochastic Processes Production planning Simplex method Studies
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Title	Pareto-optimal solution for multiple objective linear programming problems with fuzzy goals
URI	https://link.springer.com/article/10.1007/s10700-014-9192-2 https://www.proquest.com/docview/1654878351 https://www.proquest.com/docview/1677899939
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