scholarly journals Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems

2012 ◽  
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Linear Programming Problems ◽  
Fuzzy Random

scholarly journals Interactive Multiobjective Fuzzy Random Linear Programming through Fractile Criteria

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Hitoshi Yano ◽  
Masatoshi Sakawa
Keyword(s):  
Linear Programming ◽  
Decision Maker ◽  
Optimal Solution ◽  
Fuzzy Decision Making ◽  
Membership Functions ◽  
Fuzzy Decision ◽  
Optimal Solution Set ◽  
Fuzzy Goals ◽  
Linear Programming Problems ◽  
Fuzzy Random

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.

scholarly journals A Novel Distance between Vague Sets and Its Applications in Decision Making

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Weibin Deng ◽  
Changlin Xu ◽  
Jin Liu ◽  
Feng Hu
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Classification Problem ◽  
Distance Measures ◽  
Fuzzy Decision Making ◽  
Weighted Sum ◽  
Fuzzy Decision ◽  
Linear Programming Method ◽  
Vague Sets ◽  
Optimal Weights

A novel distance between vague sets (VSs) is presented after the inadequacies of existing distance measures between vague sets are analyzed by artificial vague sets. The proposed method investigates the assignment of degree of hesitation to the membership and nonmembership degree, and the properties are also discussed. The performances of the new method are illustrated by pattern classification problem. Finally, the proposed method is applied into multicriteria fuzzy decision making, where the linear programming method is taken to generate optimal weights for every criterion and the best alternative is obtained by the weighted sum of distance measures between each alternative and the idea alternative with respect to a set of criteria. The experimental results show the effectiveness of the proposed method.

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