Preinvexity and Φ1-convexity of fuzzy mappings through a linear ordering

被引：8
|
作者：
Syau, YR [1 ]
Lee, ES
机构：
[1] Natl Formosa Univ, Dept Informat Management, Huwei 63201, Yunlin, Taiwan
[2] Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 3-4期
关键词：
fuzzy numbers; convexity; preinvexity; generalized convexity; fuzzy mappings;
D O I：
10.1016/j.camwa.2005.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The preinvexity, prequasiinvexity, Phi(1)-convexity, and Phi(1)-quasiconvexity of fuzzy mappings are defined based on a linear ordering on the set of fuzzy numbers. Characterizations for these fuzzy mappings are obtained. The local-global minimum properties of real-valued preinvex functions and Phi(1)-convex functions are extended to preinvex fuzzy mappings and Phi(1)-convex fuzzy mappings, respectively. It is also proved that every strict local minimizer of a prequasiinvex fuzzy mapping is a strict global minimizer, and that every strict local minimizer of a Phi(1)-quasiconvex fuzzy mapping is a strict global minimizer. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：405 / 418
页数：14
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