Affiliations: [a] Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt-Jordan
| [b] Department of Mathematics, Faculty of Science, Yarmouk University, Irbid-Jordan
| [c] Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, Uttar Pradesh, India
| [d] Department of Mathematics, Faculty of Science, The University of Jordan, Amman-Jordan
Correspondence:
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Corresponding author. Amani A. Rawshdeh, Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt-Jordan. E-mail: [email protected].
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.
