Oblique fuzzy vectors and their use in possibilistic linear programming

被引：13
|
作者：
Inuiguchi, M
Ramík, J
Tanino, T
机构：
[1] Osaka Univ, Grad Sch Engn, Dept Elect & Informat Syst, Suita, Osaka 5650871, Japan
[2] Silesian Univ, Sch Business Adm, Dept Math Methods Econ, Karvina, Czech Republic
来源：
FUZZY SETS AND SYSTEMS | 2003年 / 135卷 / 01期
关键词：
interactive fuzzy numbers; linear programming; extension principle; necessity measure; benders decomposition method;
D O I：
10.1016/S0165-0114(02)00252-X
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we propose oblique fuzzy vectors to treat the interactivity among fuzzy numbers. Oblique fuzzy vectors are extensions of fuzzy numbers and vectors of non-interactive fuzzy numbers. The interactivity among fuzzy numbers can be treated by a non-singular matrix in an oblique fuzzy vector. We discuss characterization of an oblique fuzzy vector and the tractability of manipulation of oblique fuzzy vectors in fuzzy linear functions. Moreover, we discuss possibilistic linear programming problems with oblique fuzzy vectors. It is shown that the possibilistic linear programming problems are reduced to linear programming problems with a special structure. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：123 / 150
页数：28
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