FUZZY SOFT TOPOLOGY

Year 2012, Volume: 41 Issue: 3, 407 - 419, 01.03.2012

Banu Pazar Varol Halis Aygün

Abstract

FUZZY SOFT TOPOLOGY

Abstract

In the present paper we introduce the topological structure of fuzzy soft sets and fuzzy soft continuity of fuzzy soft mappings. We show that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces. Furthermore, with the help of an example it is shown that the constant mapping is not continuous in general. Then the notions of fuzzy soft closure and interior are introduced and their basic properties are investigated. Finally, the initial fuzzy soft topology and some properties of projection mappings are studied.

Keywords

Fuzzy soft sets, Fuzzy soft topology, Fuzzy soft continuity, Fuzzy soft closure and interior, Fuzzy soft product topology, 2000 AMS Classification: 54 B 05

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