On Intuitionistic Fuzzy Soft Pretopology

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

doi:10.28924/2291-8639-22-2024-193

On Intuitionistic Fuzzy Soft Pretopology

Mathematics

Zarqa University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	193
Journal	International Journal of Analysis and Applications
Volume	22
DOIs	https://doi.org/10.28924/2291-8639-22-2024-193
State	Published - 2024

Keywords

IFS compactness
IFS connectedness
IFS interior function
IFS pre-open set
IFS preneighbourhood system
IFS pretopological space

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10.28924/2291-8639-22-2024-193

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title = "On Intuitionistic Fuzzy Soft Pretopology",

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.",

keywords = "IFS compactness, IFS connectedness, IFS interior function, IFS pre-open set, IFS preneighbourhood system, IFS pretopological space",

author = "Azzam, \{A. A.\} and Radwan Abu-Gdairi and M. Aldawood and Alotaibi, \{Abdulaziz M.\}",

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language = "English",

volume = "22",

journal = "International Journal of Analysis and Applications",

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T1 - On Intuitionistic Fuzzy Soft Pretopology

AU - Azzam, A. A.

AU - Abu-Gdairi, Radwan

AU - Aldawood, M.

AU - Alotaibi, Abdulaziz M.

PY - 2024

Y1 - 2024

N2 - 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.

AB - 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.

KW - IFS compactness

KW - IFS connectedness

KW - IFS interior function

KW - IFS pre-open set

KW - IFS preneighbourhood system

KW - IFS pretopological space

UR - https://www.scopus.com/pages/publications/85208438529

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DO - 10.28924/2291-8639-22-2024-193

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SN - 2291-8639

VL - 22

JO - International Journal of Analysis and Applications

JF - International Journal of Analysis and Applications

M1 - 193

ER -

On Intuitionistic Fuzzy Soft Pretopology

Abstract

Keywords

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