Characterizations of fuzzy (α,β,θ,∂,ℓ)-continuous multifunctions and their decomposition

Abstract

In this paper we introduce the concept of fuzzy upper and fuzzy lower (α,β,θ,∂, ℓ)-continuous multifunctions. Also, we investigate some properties of them and their decomposition. Later, in order to unify several characterizations of some kind of fuzzy continuity, we introduced and studied generalized form of fuzzy continuous multifunctions namely fuzzy upper and fuzzy lower κκ’-continuous multifunctions. These multifunctions enable us to reduce many generalized forms of continuity to a single theoretical unified framework.