ON FUZZY SOFT COMPACT SPACES VIA FUZZY SOFT PRE-OPEN SETS AND FUZZY SOFT PC-OPEN SETS
By
M. K. Gupta and Rajat
Department of Mathematics,
Chaudhary Charan Singh University, Meerut, Uttar Pradesh, India-250004
Email: mkgupta2002@hotmail.com and rajatch1705@gmail.com
(Received: May 13, 2022; In format: October 06, 2023; Revised: December 21, 2024; Accepted: January 05, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55101
Abstract
In this article, we study different kinds of compactness in fuzzy soft topological spaces by using the notions of fuzzy soft pre-open sets and fuzzy soft PC-open sets. Moreover, we define a new class of open cover based on fuzzy soft pre-open sets, fuzzy soft PC- open sets and discuss some of their properties. Also, we discuss the concept of fuzzy soft pc-compact subspaces.
2020 Mathematical Sciences Classification: 54A05
Keywords and Phrases: Fuzzy soft pre -open cover; Fuzzy soft PC-open cover; Fuzzy soft pre-compact; Fuzzy soft PC-compact, Fuzzy soft PC-compact subspaces.