Subalgebras and ideals in BCK/BCI-algebras based on Uni-hesitant fuzzy set theory

被引：13
|
作者：
Muhiuddin, G. [1 ]
Aldhafeeri, Shuaa [2 ]
机构：
[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
[2] Publ Author Appl Educ Training, Coll Basic Educ, Dept Math, Kuwait, Kuwait
来源：
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2018年 / 11卷 / 02期
关键词：
Uni-hesitant fuzzy algebra; (Closed) uni-hesitant fuzzy ideal;
D O I：
10.29020/nybg.ejpam.v11i2.3246
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, the notions of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals in BCK-algebras and BCI-algebras are introduced, and several related properties are investigated. Characterizations of uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are considered, and a new uni-hesitant fuzzy algebra (resp. uni-hesitant fuzzy (closed) ideal) from old one is established. Relations between uni-hesitant fuzzy algebras and uni-hesitant fuzzy (closed) ideals are discussed, and conditions for a uni-hesitant fuzzy ideal to be hesitant closed are provided.
引用
收藏
页码：417 / 430
页数：14
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