On Intuitionistic Fuzzy Soft Pretopology

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A. A. Azzam, Radwan Abu-Gdairi, M. Aldawood, Abdulaziz M. Alotaibi

Abstract

This paper defines the following terms: intuitionistic fuzzy soft (IFS) pretopological space, IFS interior function, IFS pre-open set, IFS pre-closed set, trace of a IFS pretopology, IFS separation axioms, IFS subspace, IFS compactness, IFS connectedness, and some of their properties. In addition, the degree of soft non-vacuity, the soft α-cut, and the IFS preneighbourhood system at a soft point are defined. IFS preneighbourhoods produce IFS pretopologies.

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