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Interactive fuzzy programming for random fuzzy two-level programming problems through possibility-based fractile model
Abstract:

This paper focuses on interactive decision making methods for random fuzzy two-level linear programming problems. Considering the probabilities that the decision makers’ objective function values are smaller than or equal to target variables, fuzzy goals of the decision makers are introduced. Using the fractile model to optimize the target variables under the condition that the degrees of possibility with respect to the attained probabilities are greater than or equal to certain permissible levels, the original random fuzzy two-level programming problems are reduced to deterministic ones. Interactive fuzzy nonlinear programming to obtain a satisfactory solution for the decision maker at the upper level in consideration of the cooperative relation between decision makers is presented. An illustrative numerical example demonstrates the feasibility and efficiency of the proposed method

Keywords: Two-level programming Random fuzzy programming Possibility Fractile criteria optimization Interactive programming
Author(s): .
Source: Expert Systems with Applications 39 (2012) 12599–12604
Subject: تحقیق در عملیات
Category: مقاله مجله
Release Date: 2012
No of Pages: 6
Price(Tomans): 0
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