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FUZZY UPPER AND LOWER M-CONTINUOUS MULTIFUNCTIONS


ANJANA BHATTACHARYYA
Victoria Institution (College), Department of Mathematics 78B, A.P.C. Road, Kolkata - 700009, INDIA e-mail : anjanabhattacharyya@hotmail.com

Issue:

SSRSMI, Number 1, Volume XXV

Section:

Volume 25, Number 1

Abstract:

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.

Keywords:

Fuzzy m-structure, fuzzy m-compact, fuzzy M-continuous multifunction.

Code [ID]:

SSRSMI201501V25S01A0009 [0004218]

DOI:

Full paper:

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