Poset valued intuitionistic fuzzy sets

被引：2

作者：

Djukic, Marija ^{[1
]}

Tepavcevic, Andreja ^{[2
]}

机构：

[1] Tech Coll Cacak, Svetog Save 65, Cacak, Serbia

[2] Univ Novi Sad, Dept Math & Informat, Trg D Obradov 4, Novi Sad 21000, Serbia

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2016年 / 31卷 / 01期

关键词：

Poset-valued intuitionistic fuzzy sets; cut-sets; representation by cuts; ORDERED STRUCTURES; REPRESENTATION; EQUIVALENCE; FAMILIES;

D O I：

10.3233/IFS-162167

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper poset valued intuitionistic fuzzy sets are introduced and investigated (for posets in general). It is proved that in case of arbitrary finite posets, represented as a poset of a convenient distributive lattice, a natural version of the definition is obtained, using join-irreducible elements. Two families of cuts and their properties are investigated. Necessary and sufficient conditions under which two families of subsets are families of cuts of a poset valued intuitionistic fuzzy set are given.

引用

页码：547 / 553

页数：7

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