Semihypergroups Characterized by Generalized Fuzzy Bi-Hyperideals

被引：0
|
作者：
Abdullah, Saleem [1 ]
Hila, Kostaq [2 ]
Kuka, Shkelqim [2 ]
机构：
[1] Hazara Univ, Dept Math, Mansehra, Pakistan
[2] Polytech Univ Tirana, Fac Math Engn & Phys Engn, Dept Math Engn, Tirana, Albania
来源：
FUZZY INFORMATION AND ENGINEERING | 2019年 / 11卷 / 02期
关键词：
Semihypergroups; interval valued (alpha beta)-fuzzy bi-hyperideal; interval valued (epsilon epsilon boolean OR q)-fuzzy bi-hyperideals; IDEALS; ELEMENT; (IS-AN-ELEMENT-OF;
D O I：
10.1080/16168658.2021.1886816
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of interval valued (alpha, beta)-fuzzy bi-hyperideal in semihypergroups. The obtained concept is a generalized form of fuzzy bi- hyperideal and (alpha, beta)-fuzzy bi-hyperideal in semihypergroups, where alpha, beta epsilon {epsilon, q, epsilon boolean OR q, epsilon Lambda q} with alpha not equal epsilon Lambda q. So, we can easily construct twelve different types of interval valued fuzzy left (right) hyperideals of semihypergroups. Combining the notion of an interval valued fuzzy point and an interval valued fuzzy set, we introduce the notion of a generalized interval valued fuzzy bi- hyperideal in semihypergroups and some useful characterization theorems are provided. We give some special attention to interval valued (epsilon,epsilon boolean OR q)-fuzzy bi-hyperideals.
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页码：127 / 148
页数：22
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