An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach
In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the α-Pareto optimality is introduce...
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| Veröffentlicht in: | Applied mathematics and computation Jg. 177; H. 2; S. 515 - 527 |
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| Abstract | In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the
α-Pareto optimality is introduced by extending the ordinary Pareto optimality on the basis of the
α-level sets of fuzzy numbers. An interactive fuzzy decision making algorithm for generating
α-Pareto optimal solution through TOPSIS approach is provided where the decision maker (DM) is asked to specify the degree
α and the relative importance of objectives. Finally, a numerical example is given to clarify the main results developed in the paper. |
|---|---|
| AbstractList | In this paper, we extend technique for order preference by similarity ideal solution (TOPSIS) for solving large scale multiple objective programming problems involving fuzzy parameters. These fuzzy parameters are characterized as fuzzy numbers. For such problems, the
α-Pareto optimality is introduced by extending the ordinary Pareto optimality on the basis of the
α-level sets of fuzzy numbers. An interactive fuzzy decision making algorithm for generating
α-Pareto optimal solution through TOPSIS approach is provided where the decision maker (DM) is asked to specify the degree
α and the relative importance of objectives. Finally, a numerical example is given to clarify the main results developed in the paper. |
| Author | Abo-Sinna, Mahmoud A. Abou-El-Enien, Tarek H.M. |
| 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: Tarek H.M. surname: Abou-El-Enien fullname: Abou-El-Enien, Tarek H.M. email: DR_THMA2@yahoo.com organization: Department of Operations Research and Decision Support, Faculty of Computers and Information, Cairo University, 5 Dr. Ahmed Zoweil St., Orman, Postal Code 12613, Giza, Egypt |
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| Cites_doi | 10.1016/S0305-0548(99)00069-6 10.1016/S0377-2217(03)00020-1 10.1016/S0165-0114(97)00377-1 10.1016/0165-0114(89)90043-2 10.1016/0022-247X(75)90189-4 10.1007/BF01589355 10.1016/0022-247X(85)90361-0 10.1016/j.enpol.2003.12.014 10.1007/BF02591904 10.1287/mnsc.17.4.B141 10.1016/0377-2217(94)90282-8 10.1016/j.amc.2003.12.087 10.1287/mnsc.22.6.688 10.2307/1911818 |
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| Keywords | Multiple objective programming problems Fuzzy parameters Block angular structure TOPSIS Interactive decision making Pareto optimum Level set Optimal algorithm Decision making Multiobjective programming Fuzzy programming Preference theory Similarity solution Fuzzy set Applied mathematics Optimal solution Large scale Fuzzy number |
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| SubjectTerms | Applied sciences Block angular structure Calculus of variations and optimal control Decision theory. Utility theory Exact sciences and technology Fuzzy parameters Interactive decision making Mathematical analysis Mathematics Multiple objective programming problems Operational research and scientific management Operational research. Management science Optimization. Search problems Sciences and techniques of general use TOPSIS |
| Title | An interactive algorithm for large scale multiple objective programming problems with fuzzy parameters through TOPSIS approach |
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