Solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions

被引：2
|
作者：
Hu, CF [1 ]
Fang, SC
机构：
[1] I Shou Univ, Dept Appl Math, Kaohsiung, Taiwan
[2] N Carolina State Univ, Raleigh, NC 27695 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 6-7期
关键词：
fuzzy mathematical programming; systems of inequalities; cutting plane method;
D O I：
10.1016/S0898-1221(00)00191-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A cutting plane type algorithm for solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions is proposed. In each iteration, we solve a finite nonlinear optimization problem and add one or two more constraints. The iterative process ends when an optimal solution is identified. A convergence proof, under some mild conditions, is given. An efficient implementation based on the concepts of constraint surrogation and maximum entropy is included. Some computational results are also reported. (C) 2000 Elsevier Science Ltd. All rights reserved.
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页码：721 / 733
页数：13
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