Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria

We propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems through fractile criteria optimization. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability l...

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Bibliographic Details
Main Authors: Hitoshi Yano, Masatoshi Sakawa
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2012/521080
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Summary:We propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems through fractile criteria optimization. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions but also permissible probability levels in a fractile optimization model, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated. In the integrated membership space, the satisfactory solution is obtained from among an extended Pareto optimal solution set through the interaction with the decision maker. An illustrative numerical example is provided to demonstrate the feasibility and efficiency of the proposed method.
ISSN:1687-7101
1687-711X