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CONTRIBUTIONS TO THE STUDY OF SOFT CLOSEDNESS IN SOFT TOPOLOGICAL SPACES

. VANI.S.V, BALA DEEPA ARASI.K & RAMADHAN A.MOHAMMED


Abstract

The concept of soft topological space was introduced by some authors. In this present paper, we offer and study a novel type of generalized soft closed sets in soft topological space, named soft Pre-semi star Generalized-closed(in brief soft- - -closed) sets which is properly placed in between the class of soft -closed and soft -closed set. Relationships with each other and other weaker forms of generalized soft closed sets with counterexamples are discussed and its properties are investigated. Also we introduce and explore several characterizations and properties of this type of soft closed sets.

Index Terms: Soft closed, Soft -closed sets, Soft -closed sets,Soft sets, Soft Topology, sets,

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