Non-standard cut classification of fuzzy sets

被引：11

作者：

Janis, Vladimir ^{[1
]}

Seselja, Branimir ^{[1
]}

Tepavcevic, Andreja ^{[1
]}

机构：

[1] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia

来源：

INFORMATION SCIENCES | 2007年 / 177卷 / 01期

关键词：

lattice-valued fuzzy set; cut; closure; equivalent fuzzy sets;

D O I：

10.1016/j.ins.2006.05.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Several important non-standard cut sets of lattice-valued fuzzy sets are investigated. These are strong cuts, "not less" and "'neither less nor equal" cuts. In each case it is proved that collection of all cuts of any lattice-valued fuzzy set form a complete lattice under inclusion. Decomposition theorem (representation by cuts) is proved for "neither less nor equal" cuts. Necessary and sufficient conditions under which two lattice-valued fuzzy sets with the same domain have equal families of corresponding cut sets are given. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：161 / 169

页数：9

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