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An Interactive Algorithm for Large Scale Multiple Objective Programming Problems With Fuzzy Parameters Through Topsis Approach
Yugoslav journal of operations research, Tome 21 (2011) no. 2, p. 253 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we extend TOPSIS (Technique for Order Preference by Similarity Ideal Solution) 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 a 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.
Classification : 90C29
Keywords: Interactive decision making, multiple objective programming problems, fuzzy parameters, TOPSIS, block angular structure. 
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     author = {Mahmoud A. Abo-Sinna and Tarek. H. M. Abou-El-Enien},
     title = {An {Interactive} {Algorithm} for {Large} {Scale} {Multiple} {Objective} {Programming} {Problems} {With} {Fuzzy} {Parameters} {Through} {Topsis} {Approach}},
     journal = {Yugoslav journal of operations research},
     pages = {253 },
     year = {2011},
     volume = {21},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_2011_21_2_a7/}
}
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Mahmoud A. Abo-Sinna; Tarek. H. M. Abou-El-Enien. An Interactive Algorithm for Large Scale Multiple Objective Programming Problems With Fuzzy Parameters Through Topsis Approach. Yugoslav journal of operations research, Tome 21 (2011) no. 2, p. 253 . http://geodesic.mathdoc.fr/item/YJOR_2011_21_2_a7/