A note on fuzzy convexity

被引：2
|
作者：
Wu, SY
Cheng, WH [1 ]
机构：
[1] Tamkang Univ, Dept Math, Tamsui 251, Taiwan
[2] Kuang Wu Inst Technol, Taipei, Taiwan
来源：
APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 10期
关键词：
fuzzy sets; convex fuzzy sets; convexity; semicontinuity;
D O I：
10.1016/j.aml.2003.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study the concept of semistrictly convex fuzzy sets. We also prove that for the upper semicontinuous case, the class of semistrictly convex fuzzy sets lies between the convex and strictly convex classes. In addition, sufficient conditions for strict convexity are given, and important connections between these convex fuzzy sets are presented. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1127 / 1133
页数：7
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