Some characterizations of (¯∈γ, ¯∈γ v<em> ¯q</em>δ)-fuzzy fantastic ideals in BCH-algebras

Abstract

ABSTRACT. In this paper, the concepts of ( γ ∈ , γ ∈ δ q ∨ )-fuzzy fantastic ideals and ( γ ∈ , γ ∈ ∨ δ q )-fuzzy fantastic ideals in BCH-algebras are introduced and investigate some of their properties.

Some properties of n-dimensional (∈γ, ∈γ, ∨qδ)-fuzzy subalgebra in BRK-algebras

“…Bhakat [2,3] introduced the concept of (∈ ∨ q)-level subsets, (∈, ∈ ∨ q)-fuzzy normal, quasi-normal and maximal subgroups. Many researchers utilized these concepts to generalize some concepts of algebra (see [5,8,9,10,11,12,13,23,24,25,26,27,28,29]). Davvaz in [6] discussed (∈, ∈ ∨ q)-fuzzy subnearrings and ideals.…”

“…In [7], Huang et al initiated the notion of semihyperrings by their (∈ γ , ∈ γ ∨q δ )-fuzzy hyperideals. Recently, Zulfiqar defined the concept of (∈ γ ,∈ γ ∨q δ )-fuzzy fantastic ideals in BCH-algebras [24].…”

“…The definitions and terminologies that we used in this paper are standard. For notations, terminologies and applications, the readers are referred to [5,8,9,10,11,12,13,23,24,25,26,27,28,29]. A mapλ : X → [0, 1] is called a n-dimensional fuzzy subset of X and denoted asλ…”