On V-Regular Ordered LA-Semihypergroups

Muhammad Farooq, Asghar Khan, Muhammad Izhar, Bijan Davvaz

Abstract

In this paper, we introduce the concepts of fuzzy (bi-,generalized bi-) hyperideals, fuzzy interior hyperideals, fuzzyquasi-hyperideals in ordered LA-semihypergroups. Moreover we characterize$V$-regular class of ordered LA-semihypergroups in terms of fuzzy (left,right, two-sided, interior, bi-, generalized bi- and quasi-) hyperideals.Furthermore, we have shown that all these fuzzy hyperideals coincide in a$V$-regular ordered LA-semihypergroup with pure left identity.