Linear programming with fuzzy coefficients in constraints

被引：90

作者：

Fang, SC ^{[1
]}

Hu, CF

Wang, HF

Wu, SY

机构：

[1] N Carolina State Univ, Raleigh, NC 27695 USA

[2] I Shou Univ, Dept Math Appl, Kaohsiung, Taiwan

[3] Natl Tsing Hua Univ, Dept Ind Engn, Hsinchu, Taiwan

[4] Natl Cheng Kung Univ, Dept Math, Tainan 70101, Taiwan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 10期

关键词：

fuzzy mathematical programming; linear semi-infinite programming;

D O I：

10.1016/S0898-1221(99)00126-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new method for solving linear programming problems with fuzzy coefficients in constraints. It is shown that such problems can be reduced to a linear semi-infinite programming problem. The relations between optimal solutions and extreme points of the linear semi-infinite program are established. A cutting plane algorithm is introduced with a convergence proof, and a numerical example is included to illustrate the solution procedure. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：63 / 76

页数：14

共 14 条

[1] FUZZY DECISION TREES [J].