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
收藏
页码:388 / 398
页数:11
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