Generalized Hesitant Fuzzy Ideals in Semigroups

被引：4
作者：
Muhiuddin, G. [1 ]
Alanazi, A. M. [1 ]
Mahboob, A. [2 ]
Al-Kadi, D. [3 ]
机构：
[1] Univ Tabuk, Dept Math, Tabuk 71491, Saudi Arabia
[2] Madanapalle Inst Technol & Sci, Dept Math, Madanapalle 517325, Saudi Arabia
[3] Taif Univ, Dept Math & Stat, Coll Sci, POB 11099, At Taif 21944, Saudi Arabia
来源：
JOURNAL OF MATHEMATICS | 2020年 / 2020卷
关键词：
SUBALGEBRAS; FILTERS; SETS; (M; AGGREGATION; OPERATORS; ALGEBRAS;
D O I：
10.1155/2020/8856287
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy (m, n)-ideals and hesitant fuzzy (m, 0)-ideals (resp. (0, n)-ideals) are introduced. Furthermore, conditions for a hesitant fuzzy (m, n)-ideal ((m, 0)-ideal, (0, n)-ideal) to be a hesitant fuzzy bi-ideal (right ideal, left ideal) are provided. Moreover, several correspondences between bi-ideals (right ideals, left ideals) and hesitant fuzzy (m, n)-ideals ((m, 0)-ideals, (0, n)-ideals) are obtained. Also, the characterizations of different classes of semigroups in terms of their hesitant fuzzy (m, n)-ideals and hesitant fuzzy (m, 0)-ideals ((0, n)-ideals) are investigated.
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页数：12
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