A NOTE ON (∈, ∈ ∨ q)-FUZZY EQUIVALENCE RELATIONS AND INDISTINGUISHABILITY OPERATORS

被引：0
|
作者：
Ali, Muhammad Irfan [1 ]
Feng, Feng [2 ]
Shabir, Muhammad [3 ]
机构：
[1] COM SATS Inst Informat Technol, Dept Math, Attock, Pakistan
[2] Xian Univ Posts & Telecommun, Sch Sci, Dept Appl Math, Xian 710061, Peoples R China
[3] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2011年 / 40卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fuzzy set; Fuzzy equivalence relation; Fuzzy G-equivalence relation; Fuzzy partition; Fuzzy indistinguishability operator; FUZZY GROUPS; IDEALS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper (is an element of, is an element of boolean OR q)-fuzzy equivalence relations are defined and some of their properties are studied. The partition of an (is an element of, is an element of boolean OR q)-fuzzy equivalence relation is studied. It is shown that under a semibalanced mapping the preimage of an (is an element of, is an element of boolean OR q)-fuzzy equivalence relation is an (is an element of, is an element of boolean OR q)-fuzzy equivalence relation, whereas the image of an (is an element of, is an element of boolean OR q)-fuzzy equivalence relation under a balanced mapping is an (is an element of, is an element of boolean OR q)-fuzzy equivalence relation. To conclude, (is an element of, is an element of boolean OR q)-fuzzy indistinguishability relations are defined and some of their properties are studied.
引用
收藏
页码：383 / 400
页数：18
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