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Research Article

ON ALMOST CONTRA-SOMEWHAT FUZZY CONTINUOUS FUNCTIONS

G
G. Thangaraj Department of Mathematics,Thiruvalluvar University, Vellore - 632115, Tamil Nadu, INDIA
S
S. Senthil Department of Mathematics, Indo-American College, Cheyyar - 604407, Tamil Nadu, INDIA
Volume 19, Issue 3 Pages 215-232 December 30, 2023 153 downloads
Article overview

Abstract

In this paper, a new notion of fuzzy contra-continuity, called almost contra-somewhat fuzzy continuity between fuzzy topological spaces,is introduced. Several characterizations of these functions are obtained and it is shown that fuzzy almost contra-semi continuous functions are almost contra-somewhat fuzzy continuous functions. The conditions under which fuzzy hyper connected spaces become the fuzzy Baire spaces, fuzzy second category spaces and fuzzy almost irresolvable spaces, are obtained by means of almost contra-somewhat fuzzy continuous functions.

Keywords and Phrases

Fuzzy dense setfuzzy regular closed setfuzzy $\beta$-open setFuzzy resolvable setsfuzzy almost contra-semi continuous functionFuzzy hyper connected spacefuzzy Baire space.

AMS Subject Classification

54A40, 03E72.

Reference information

How to Cite

G. Thangaraj, S. Senthil (2023). ON ALMOST CONTRA-SOMEWHAT FUZZY CONTINUOUS FUNCTIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 19(3), 215-232.
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