An Interactive Fuzzy Decision Making Method for Fuzzy Random Multiobjective Linear Programming Problems

Hitoshi YANO 

Publication
A - Abstracts of IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences (Japanese Edition)  Vol.J95-A  No.6  pp.500-513
Publication Date: 2012/06/01
Online ISSN: 1881-0195
Print ISSN: 0913-5707
Type of Manuscript: PAPER
Category: 
Keyword: 
fuzzy random variable,  a probability maximization model,  a fractile criterion optimization model,  satisfactory solution,  decision making, 

Full Text(in Japanese): PDF(348.5KB)

Summary: 
In this paper, we propose an interactive fuzzy decision making method for fuzzy random multiobjective linear programming problems (FRMOLP), in which the criteria of probability maximization and fractile optimization are considered simultaneously. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only permissible objective level of a probability maximization model but also permissible stochastic level of 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, Pareto optimality concept is introduced, and the satisfactory solution of the decision maker for FRMOLP is obtained from among a Pareto optimal solution set on the basis of linear programming technique.