A Novel Study on Ordered Anti-Involution LA-Semihypergroups

In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before intr...

Full description

Saved in:
Bibliographic Details
Main Authors: Nabilah Abughazalah, Naveed Yaqoob
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/6972483
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti-involution hyperideals. We studied the anti-involution hyperideals of ordered anti-involution LA-semihypergroups using the rough set theory. In an ordered anti-involution LA-semihypergroup, the ρ-upper and ρ-lower rough approximations of anti-involution hyperideals are an anti-involution hyperideals.
ISSN:2314-4785