Generalized Forms of Upper and Lower Continuous Fuzzy Multifunctions

Abstract

In this paper, we introduce the concepts of upper and lower (\alpha, \beta, \theta, \delta, \ell)-continuous fuzzy multifunctions. It is in order to unify several characterizations and properties of some kinds of modifications of fuzzy upper and fuzzy lower semi-continuous fuzzy multifunctions, and to deduce a generalized form of these concepts, namely upper and lower \eta \eta^{*}-continuous fuzzy multifunctions.