NDLI: Fuzzy approaches for multiobjective fuzzy random linear programming problems through a probability maximization model.

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Fuzzy approaches for multiobjective fuzzy random linear programming problems through a probability maximization model.

Content Provider	CiteSeerX
Author	Yano, Hitoshi Matsui, Kota
Abstract	Abstract—In this paper, two kinds of fuzzy approaches are proposed for not only multiobjective stochastic linear program-ming problems, but also multiobjective fuzzy random linear programming problems through a probability maximization model. In a probability maximization model, it is necessary for the decision maker to specify permissible values of objective functions in advance, which have a great influence on the corresponding distribution function values. In our proposed methods, the decision maker does not specify permissible values of objective functions, but sets his/her membership functions for permissible values. By assuming that the decision maker adopts the fuzzy decision as an aggregation operator of fuzzy goals for the original objective functions and distribution functions, a satisfactory solution of the decision maker is easily obtained based on linear programming technique. Index Terms—multiobjective stochastic linear programming, multiobjective fuzzy random linear programming, fuzzy deci-sion, a probability maximization model. I.
File Format	PDF
Access Restriction	Open
Subject Keyword	Probability Maximization Model Fuzzy Approach Decision Maker Permissible Value Objective Function Index Term Corresponding Distribution Function Value Membership Function Great Influence Fuzzy Deci-sion Fuzzy Decision Multiobjective Fuzzy Random Linear Programming Aggregation Operator Satisfactory Solution Original Objective Function Linear Programming Technique Fuzzy Goal Multiobjective Stochastic Linear Program-ming Problem Distribution Function Stochastic Linear Programming
Content Type	Text

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