On Intuitionistic Fuzzy Soft Pretopology

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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Publication Details

Journal
International Journal of Analysis and Applications
Published
2024-10-22
DOI
https://doi.org/10.28924/2291-8639-22-2024-193
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
0.00

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article

On Intuitionistic Fuzzy Soft Pretopology

Abdullah Alotaibi, A. A. Azzam, Radwan Abu-Gdairi, M. Aldawood
International Journal of Analysis and Applications
Multi-Criteria Decision Making
article

On Intuitionistic Fuzzy Soft Pretopology

Abdullah Alotaibi, A. A. Azzam, Radwan Abu-Gdairi, M. Aldawood
article en

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.

International Journal of Analysis and ApplicationsVol. 22
Prince Sattam bin Abdulaziz University
Openalex Percentile: Top 77%
Multi-Criteria Decision Making
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