Year: 2022
Type: preprint
Abstract: In various articles, it is said that the class of all soft topologies on a common universe forms a complete lattice, but in this paper, we prove that it is a complete lattice. Some soft topologies are maximal and some are minimal with respect to certain soft topological properties. We study the properties of soft compact and soft connected topologies that are maximal. In particular, we prove that a maximal soft compact topology has identical families of soft compact and soft closed sets, and it is also soft $T_1$.
Source: arXiv (Cornell University)
Authors: Ghour, Samer Al, Ameen, Zanyar A.
Institution: University of Duhok
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W4292215731