Generalized Rough Γ-Hyperideals in Γ-Semihypergroups

Abstract

Davvaz (2008) introduced the concept of set-valued homomorphism andT-rough sets in a group. In this paper, we consider the set-valued homomorphismTonΓ-semihypergroupHto interpret the lower and upper approximations. We study the roughness of(m,n)bi-Γ-hyperideals and(m,n)quasi-Γ-hyperideals in terms of set-valued homomorphisms, which are extended notions of(m,n)bi-Γ-hyperideals and(m,n)quasi-Γ-hyperideals ofΓ-semihypergroups.

A Novel Study on Ordered Anti-Involution LA-Semihypergroups

“…Feng et al [34] investigated regular equivalence relations on ordered * -semihypergroups. Yaqoob et al [35] investigated the structures of involution Γ-semihypergroups. Tang and Yaqoob [36] introduced a fuzzy set theory to hyperideals of ordered * -semihypergroups.…”

Rough prime bi-Γ-hyperideals and fuzzy prime bi- Γ-hyperideals of Γ-semihypergroups

“…Anvariyeh et al [4], introduced Pawlak's approximations in Γ-semihypergroups. See also [5,21,[42][43][44][45][46][47].…”