A geometric approach for solving fuzzy linear programming problems

被引：6
|
作者：
Safi, M. R. [1 ]
Maleki, H. R. [2 ]
Zaeimazad, E. [1 ]
机构：
[1] Shahid Bahonar Univ Kerman, Dept Math, Kerman, Iran
[2] Shiraz Univ Technol, Dept Basic Sci, Shiraz, Iran
来源：
FUZZY OPTIMIZATION AND DECISION MAKING | 2007年 / 6卷 / 04期
关键词：
linear programming; fuzzy set theory; fuzzy linear programming and fuzzy plane geometry;
D O I：
10.1007/s10700-007-9016-8
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper we first recall some definitions and results of fuzzy plane geometry, and then introduce some definitions in the geometry of two-dimensional fuzzy linear programming (FLP). After defining the optimal solution based on these definitions, we use the geometric approach for obtaining optimal solution(s) and show that the algebraic solutions obtained by Zimmermann method (ZM) and our geometric solutions are the same. Finally, numerical examples are solved by these two methods.
引用
收藏
页码：315 / 336
页数：22
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