Soft semi-linear uniform spaces and their perceptual application-Reference-Cited by-同舟云学术

Soft semi-linear uniform spaces and their perceptual application

Published:2023-03-09 Issue:3 Volume:44 Page:4175-4184
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Rawshdeh Amani A.¹,Al-jarrah Heyam H.²,Tiwari Surabhi³,Tallafha Abdalla A.⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt-Jordan

2. Department of Mathematics, Faculty of Science, Yarmouk University, Irbid-Jordan

3. Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh, India

4. Department of Mathematics, Faculty of Science, The University of Jordan, Amman-Jordan

Abstract

In this paper, we use the soft set theory and the concept of semi-linear uniform spaces to introduce the notion of soft semi-linear uniform spaces with its generalization, briefly soft-GSLUS. We investigate some properties of soft topology that induced by soft-GSLUS. Also, we use the members of soft-GSLUS to define a soft proximity space and a soft filter then we establish the relationships between them. Finally, we give the perceptual application of soft semi-linear uniform structures by employing the natural transformation of a soft semi-linear uniform space to a soft proximity.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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