Triangular norm based graded convex fuzzy sets

被引：1

作者：

Pan, Xiaodong ^{[1
]}

Meng, Dan ^{[2
]}

机构：

[1] SW Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

[2] SW Univ Finance & Econ, Sch Econ Informat Engn, Chengdu 611130, Sichuan, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2012年 / 209卷

基金：

中国国家自然科学基金;

关键词：

Convex fuzzy set; Graded convex fuzzy set; Triangular norm; Implication operation;

D O I：

10.1016/j.fss.2012.06.008

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we develop the theory of graded convex fuzzy set, graded strongly convex fuzzy set, graded strictly convex fuzzy set based on triangular norms, in which the degree of fuzzy convexity is described by one real number. We also investigate some graded properties of these graded convex fuzzy sets and present the relations between these graded convex fuzzy sets and their topological properties and give several conditions for a fuzzy set to be a graded convex fuzzy set. Finally, we generalize the notion of global maximizer and prove an important property of graded convex fuzzy sets. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：1 / 13

页数：13

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