Fuzzy decision making for fuzzy random multiobjective linear programming problems with variance covariance matrices

2014 ◽  
Vol 272 ◽  
pp. 111-125 ◽  
Author(s):  
Hitoshi Yano
Keyword(s):  
Decision Making ◽  
Linear Programming ◽  
Covariance Matrices ◽  
Fuzzy Decision Making ◽  
Fuzzy Decision ◽  
Multiobjective Linear Programming ◽  
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.

An Interactive Satisficing Method Based on Level Set Optimization for Fuzzy Random Multiobjective Linear Programming Problems

2009 ◽  
Author(s):  
Hideki Katagiri ◽  
Masatoshi Sakawa ◽  
Kosuke Kato ◽  
Ichiro Nishizaki ◽  
Sio-Iong Ao ◽  
...  
Keyword(s):  
Linear Programming ◽  
Level Set ◽  
Set Optimization ◽  
Multiobjective Linear Programming ◽  
Linear Programming Problems ◽  
Fuzzy Random
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