Rough Fuzzy Hyperideals in Ternary Semihypergroups

Author:

Yaqoob Naveed1,Aslam Muhammad1,Hila Kostaq2ORCID

Affiliation:

1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

2. Department of Mathematics and Computer Science, University of Gjirokastra, Gjirokastra, Albania

Abstract

The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary semihypergroups. We also study fuzzy, rough, and rough fuzzy ternary subsemihypergroups (left hyperideals, right hyperideals, lateral hyperideals, hyperideals, and bi-hyperideals) of ternary semihypergroups.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A novel approach to study ternary semihypergroups in terms of prime soft hyperideals;AIMS Mathematics;2023

2. Intuitionistic Fuzzy Soft Ideals;Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures;2020

3. Fuzzy set approach to hyperideal theory of po-ternary semihypergroups;Journal of Discrete Mathematical Sciences and Cryptography;2019-04-03

4. Ternary semihypergroups in terms of generalized quasi(bi)-hyperideals;Studia Scientiarum Mathematicarum Hungarica;2017-09

5. On the structure of quasi-hyperideals and bi-hyperideals in ternary semihypergroups;Afrika Matematika;2014-12-12

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