Iterative Solution Process for Multiple Objective Stochastic Linear Programming Problems Under Fuzzy Environment

This article presents one interactive algorithm, and thereby determines the Pareto optimal solution to multi-objective stochastic linear programming (MOSLP) problems in real-life oriented fuzzy environment. Among the various objective functions, there always exists one objective function, referred t...

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Veröffentlicht in:Fuzzy information and engineering Jg. 10; H. 4; S. 435 - 451
Hauptverfasser: Garai, Arindam, Mandal, Palash, Roy, Tapan Kumar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 02.10.2018
Taylor & Francis Group
Schlagworte:
Algorithms
chance-constrained programming
Decision making
expectation model
Fuzzy logic
fuzzy multi-objective optimisation
Fuzzy sets
Iterative methods
Iterative solution
Linear programming
Main objective function
Optimization
Pareto optimum
stochastic optimisation
trade-off ratio
ISSN:1616-8658, 1616-8666
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Abstract This article presents one interactive algorithm, and thereby determines the Pareto optimal solution to multi-objective stochastic linear programming (MOSLP) problems in real-life oriented fuzzy environment. Among the various objective functions, there always exists one objective function, referred to as the main objective function in this article, to multi-objective models, whose optimal value is most vital to decision-makers. When the optimal value to main objective function meets the pre-determined aspiration level, and the corresponding values to other objective functions are satisfactory in nature, that Pareto optimal solution is acceptable to decision-makers. Again, in several existing interactive fuzzy optimisation methods to MOSLP models, all reference membership levels of expectations to objective functions are considered as a unity. However, this seems to be less rational that the expectation of each conflicting objective function simultaneously attains the individual goal. So, the present article proposes to employ the trade-off ratios of membership functions to analytically determine reference membership levels in a fuzzy environment. Numerical applications further illustrate this algorithm. Finally, conclusions are drawn.
AbstractList This article presents one interactive algorithm, and thereby determines the Pareto optimal solution to multi-objective stochastic linear programming (MOSLP) problems in real-life oriented fuzzy environment. Among the various objective functions, there always exists one objective function, referred to as the main objective function in this article, to multi-objective models, whose optimal value is most vital to decision-makers. When the optimal value to main objective function meets the pre-determined aspiration level, and the corresponding values to other objective functions are satisfactory in nature, that Pareto optimal solution is acceptable to decision-makers. Again, in several existing interactive fuzzy optimisation methods to MOSLP models, all reference membership levels of expectations to objective functions are considered as a unity. However, this seems to be less rational that the expectation of each conflicting objective function simultaneously attains the individual goal. So, the present article proposes to employ the trade-off ratios of membership functions to analytically determine reference membership levels in a fuzzy environment. Numerical applications further illustrate this algorithm. Finally, conclusions are drawn.
Author Mandal, Palash
Garai, Arindam
Roy, Tapan Kumar
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  givenname: Tapan Kumar
  surname: Roy
  fullname: Roy, Tapan Kumar
  organization: Department of Mathematics, IIEST
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Cites_doi 10.1016/S0957-4158(99)00039-2
10.4236/am.2012.330180
10.1016/0165-0114(95)00360-6
10.1016/j.energy.2012.11.017
10.1016/S0308-521X(99)00067-0
10.1016/j.fss.2008.12.005
10.1016/S0165-0114(86)80029-X
10.1007/s00500-012-0968-4
10.1109/TSMC.1987.289356
10.1016/j.eswa.2013.11.014
10.1016/j.eswa.2014.04.015
10.1016/0020-0255(85)90025-8
10.1007/978-3-642-57949-3
10.1016/0165-0114(78)90031-3
10.1016/0165-0114(87)90105-9
10.1016/j.knosys.2015.01.013
10.3233/IFS-130806
10.1080/01969727308545912
10.1016/j.knosys.2014.12.017
10.1007/s40815-016-0286-6
10.1016/0045-7949(90)90005-M
10.1080/03052158508902494
10.1016/j.ejor.2004.09.016
10.1007/s12597-016-0260-y
10.1016/j.ejor.2007.11.025
10.1016/j.eswa.2012.12.032
10.3233/IFS-141366
10.1287/mnsc.17.4.B141
10.1016/j.fss.2011.07.014
10.1016/0305-0548(81)90022-8
10.1016/0165-0114(89)90019-5
10.3233/IFS-130987
10.1109/TFUZZ.2006.879996
10.1007/s10700-014-9192-2
10.1016/j.fss.2014.01.004
10.1007/978-1-4614-9399-0
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Garai A (CIT0003) 2016; 2
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CIT0043
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Xu C. (CIT0027) 1989; 1
Shih CJ (CIT0028) 2004; 7
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  doi: 10.1016/S0957-4158(99)00039-2
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  doi: 10.4236/am.2012.330180
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  start-page: 575
  issue: 4
  year: 1989
  ident: CIT0027
  publication-title: Comput Struct
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  doi: 10.1016/0165-0114(95)00360-6
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  doi: 10.1016/j.energy.2012.11.017
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  doi: 10.1016/S0308-521X(99)00067-0
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  doi: 10.1016/j.fss.2008.12.005
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  doi: 10.1007/s00500-012-0968-4
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  doi: 10.1109/TSMC.1987.289356
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  doi: 10.1016/j.eswa.2014.04.015
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  doi: 10.1016/0020-0255(85)90025-8
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  doi: 10.1007/978-3-642-57949-3
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  doi: 10.1016/0165-0114(78)90031-3
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  doi: 10.1016/0165-0114(87)90105-9
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  doi: 10.1016/j.knosys.2015.01.013
– volume: 7
  start-page: 189
  issue: 3
  year: 2004
  ident: CIT0028
  publication-title: Tamkang J Sci Eng
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  doi: 10.3233/IFS-130806
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  doi: 10.1080/01969727308545912
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  doi: 10.1016/j.knosys.2014.12.017
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  doi: 10.1007/s40815-016-0286-6
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  ident: CIT0033
  publication-title: The International Conference on Information Networking 2013 (ICOIN)
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  doi: 10.1016/0045-7949(90)90005-M
– volume: 2
  start-page: 14
  issue: 1
  year: 2016
  ident: CIT0003
  publication-title: J. Fuzzy Comput. Model
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  doi: 10.1080/03052158508902494
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  doi: 10.1016/j.ejor.2004.09.016
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  publication-title: Recent Adv Hybrid Approaches Design Intell Syst Series Stud Comput Intell
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  issue: 4
  year: 2015
  ident: CIT0023
  publication-title: Notes Intuit Fuzzy Sets
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  doi: 10.1016/j.ejor.2007.11.025
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Snippet This article presents one interactive algorithm, and thereby determines the Pareto optimal solution to multi-objective stochastic linear programming (MOSLP)...
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SubjectTerms Algorithms
chance-constrained programming
Decision making
expectation model
Fuzzy logic
fuzzy multi-objective optimisation
Fuzzy sets
Iterative methods
Iterative solution
Linear programming
Main objective function
Optimization
Pareto optimum
stochastic optimisation
trade-off ratio
Title Iterative Solution Process for Multiple Objective Stochastic Linear Programming Problems Under Fuzzy Environment
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