A class of multiobjective linear programming model with fuzzy random coefficients

Authors:
Jun Li;Jiuping Xu;Mitsuo Gen
Affiliations:
Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China;Uncertainty Decision-Making Laboratory, School of Business and Administration, Sichuan University, Chengdu 610064, China;Graduate School of Information, Production and Systems, Waseda University, Kitakyushu 808-0135, Japan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2006

Citing 21
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Abstract

The aim of this paper is to deal with a multiobjective linear programming problem with fuzzy random coefficients. Some crisp equivalent models are presented and a traditional algorithm based on an interactive fuzzy satisfying method is proposed to obtain the decision maker's satisfying solution. In addition, the technique of fuzzy random simulation is adopted to handle general fuzzy random objective functions and fuzzy random constraints which are usually hard to be converted into their crisp equivalents. Furthermore, combined with the techniques of fuzzy random simulation, a genetic algorithm using the compromise approach is designed for solving a fuzzy random multiobjective programming problem. Finally, illustrative examples are given in order to show the application of the proposed models and algorithms.