A LINEAR PROBLEMMING PROBLEM WITH FUZZY RELATIONAL PARAMETERS
A linear programming problem with fuzzy relational parameters is proposed in this paper. It is an extension of the problem (solving fuzzy relation equations with a linear objective function) proposed by Fang and Li (1999). For characterizing the feasible domain of the new problem, two new concepts, f-vertex and vertex of the problem are introduced. It is proved that the minimum of the new problem must be attainted at some vertex of it. Based on this conclusion,an algorithm for solving the new problem is given.
Fuzzy optimization Fuzzy relation inequality Constraints F-vertex
FANG-FANG GUO ZUN-QUAN XIA YU-LIN DONG
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China
国际会议
2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)
大连
英文
1658-1661
2006-08-13（万方平台首次上网日期，不代表论文的发表时间）