An Efficient Analytical Solution Method for Multiobjective Random Fuzzy Linear Programming Problem Using Possibility and Necessity Measures

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  • 可能性・必然性測度を用いた多目的ランダムファジィ線形計画問題に対する効率的厳密解法の構築
  • カノウセイ ヒツゼンセイ ソクド オ モチイタ タモクテキ ランダムファジィ センケイ ケイカク モンダイ ニ タイスル コウリツテキ ゲンミツカイホウ ノ コウチク

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Abstract

This paper considers a multiobjective random fuzzy linear programming problem using possibility and necessity measures. The proposed model is not a well-defined problem due to including randomness and fuzziness, and so introducing chance-constraints and the degree of possibility and necessity with fuzzy goals, the proposed model is transformed into the deterministic equivalent problem. Furthermore, in order to solve the multiobjective programming problem, the model maximizing the minimum aspiration level among all objects is proposed. Then, in order to solve it more efficiently, the relation between absolute deviation and variance is introduced by using the normality of random variables and the efficient solution method based on the linear programming is developed.

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