Fuzzy SSPO-separation Axioms and Fuzzy  α-SSPO Compactness

Authors

  • Shkumbin Makolli University of Prishtina, Prishtina, Republic of Kosova
  • Biljana Krsteska

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5062

Keywords:

Fuzzy separation axioms, Fuzzy compactness, Fuzzy strongly semi pre-open set

Abstract

In this paper we will introduce the concept of new separation axioms named fuzzy SSPO-separation axioms by using the fuzzy strong semi preopen sets and we will also introduce and investigate properties of  (alpha)-SSPO compactness. We will define and investigate relation between fuzzy separation axioms, fuzzy pre-separation axioms and different forms of fuzzy continuous mappings. We will also investigate the existence of a countable base of fuzzy strong semi preopen sets, we will define the concept of SSPO separability, the concept of (alpha)-SSPO Lindelof sets and examine their properties. With the concept of fuzzy strong semi pre-continuity, SSPO-irresolute continuous mappings and other forms of fuzzy continuity, we will investigate the new concept of fuzzy compactness and its properties in regards to the mentioned mappings.  

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Published

2024-04-30

Issue

Vol. 17 No. 2: (April 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Fuzzy SSPO-separation Axioms and Fuzzy  α-SSPO Compactness. (2024). European Journal of Pure and Applied Mathematics, 17(2), 638-662. https://doi.org/10.29020/nybg.ejpam.v17i2.5062