ON SOME DECOMPOSITIONS OF FUZZY SOFT CONTINUITY

Authors : Pradip Kumar Gain, Prakash Mukherjee, Ramkrishna Prasad Chakraborty

Pages : 39-52

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Publication Date : 2015-05-01

Article Type : Research

Abstract :– In this article, some open-like fuzzy soft sets such as fuzzy soft semi-open set, fuzzy soft preopen set, fuzzy soft α-open set and corresponding variants of fuzzy soft continuous functions are introduced and discussed. Some other variants of fuzzy soft sets such as fuzzy soft semi-preclosed set, fuzzy soft t-set, fuzzy soft α*-set, fuzzy soft regular open set, fuzzy soft B-set, fuzzy soft C-set and fuzzy soft D(α)-set are defined and some properties of these sets are studied and investigated. Some continuouslike functions are introduced and we obtained some decomposition of fuzzy soft continuity
Keywords : – Soft sets, fuzzy sets, fuzzy soft sets, fuzzy soft B-sets, fuzzy soft B-continuous function, fuzzy soft C-continuous function, fuzzy soft D(α)-continuous function