ANJANA BHATTACHARYYA Victoria Institution (College), Department of Mathematics
78B, A.P.C. Road, Kolkata - 700009, INDIA
e-mail : anjanabhattacharyya@hotmail.com
In this paper we introduce the notion of fuzzy upper and lower M-continuous multifunctions as generalizations of upper and lower M-continuous multifunctions [28], as fuzzy multifunctions between sets having certain minimal structures. We also prove that m-compact sets from a space with minimal structures have fuzzy m-compact images under surjective fuzzy upperM-continuous multifunctions, provided that some natural conditions are satisfied. Lastly we show that the notions of fuzzy upper and lower M-continuous multifunctions unify several forms of generalized continuity for fuzzy multifunctions from a topological space into a fuzzy topological space.
