ON DECOMPOSITION OF FUZZY A-CONTINUITY

Volume 1, Issue 4, pp 236-240 http://dx.doi.org/10.22436/jnsa.001.04.06

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Authors

S. JAFARI - College of Vestsjaelland South Herrestrade 11 4200 Slagelse Denmark.. K. VISWANATHAN - Post Graduate and Research Department of Mathematics N G M College Pollachi-642 001 Tamilnadu, INDIA.. M. RAJAMANI - Post Graduate and Research Department of Mathematics N G M College Pollachi-642 001 Tamilnadu, INDIA.. S. KRISHNAPRAKASH - Post Graduate and Research Department of Mathematics N G M College Pollachi-642 001 Tamilnadu, INDIA..

Abstract

In this paper, we introduce and study the notion of fuzzy \(C\)-sets and fuzzy \(C\)-continuity. We also prove a mapping \(f : X \rightarrow Y\) is fuzzy \(A\)-continuous if and only if it is both fuzzy semi-continuous and fuzzy \(C\)-continuous.

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Keywords

• fuzzy A-set
• fuzzy C-set
• fuzzy A-continuity
• fuzzy C-continuity.

MSC

•  54A05
•  54C05.

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