A new approach to soft relations and topology
Abstract
Let ¬ = (q, A) be a soft relation over a set X, where q : A → P(X × X). In this paper, we first associate a mapping aq : X × X → P(A) with every soft relation ¬ over X. This mapping is then utilized to redefine the concept of soft equivalence relation as developed in [8]. Next, we introduce soft topologies generated by R and explore several related results within this framework. Specifically, we have characterised soft topologies that are produced by a soft relation and a soft selection. Finally, we applied these concepts to fuzzy frameworks. This revised approach to soft structures brings working with soft set theory into closer alignment with fuzzy set theory.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Rough Sets and Fuzzy Logic
Fuzzy Logic and Control Systems
Publication details
- Journal / source
- Journal of Interdisciplinary Mathematics
- Volume
- 29
- Issue
- 2
- Pages
- 447–458
- Publication date
- 1 January 2026
- Language
- EN