Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2011; 26(2): 305-320

Printed June 1, 2011

https://doi.org/10.4134/CKMS.2011.26.2.305

Copyright © The Korean Mathematical Society.

Continuity of fuzzy proper functions on \v{S}ostak's $I$-fuzzy topological spaces

Rajakumar Roopkumar and Chandran Kalaivani

Alagappa University, Alagappa University

Abstract

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The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of \v{S}ostak's $I$-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

Keywords: fuzzy proper function, \v{S}ostak's $I$-fuzzy topology, smooth fuzzy continuity

MSC numbers: 54A40

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