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

页码：405 / 418

页数：14

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