Lattice valued intuitionistic fuzzy sets

被引：17

作者：

Gerstenkorn, Tadeusz ^{[1
]}

Tepavcevic, Andreja ^{[2
]}

机构：

[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland

[2] Univ Novi Sad, Dept Math & Informat, Fac Sci, Novi Sad 21000, Serbia

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2004年 / 2卷 / 03期

关键词：

Intuitionistic fuzzy sets; bifuzzy sets; lattice valued intuitionistic fuzzy sets;

D O I：

10.2478/BF02475236

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a new definition of a lattice valued intuitionistic fuzzy set (LIFS) is introduced, in an attempt to overcome the disadvantages of earlier definitions. Some properties of this kind of fuzzy sets and their basic operations are given. The theorem of synthesis is proved: For every two families of subsets of a set satisfying certain conditions, there is an lattice valued intuitionistic fuzzy set for which these are families of level sets. (C) Central European Science Journals. All rights reserved.

引用

页码：388 / 398

页数：11

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