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Separation Axioms and Connectedness on Fuzzy Parameterized Fuzzy Soft Topological Spaces

Separation Axioms and Connectedness on Fuzzy Parameterized Fuzzy Soft Topological Spaces

Adem Yolcu (Kafkas University, Turkey) and Taha Yasin Öztürk (Kafkas University, Turkey)
Copyright: © 2022 |Pages: 16
DOI: 10.4018/978-1-7998-7979-4.ch019
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Abstract

The fuzzy parameterized fuzzy soft (FPFS) set structure was defined in 2010 as a different combination of fuzzy sets and soft sets. In 2016, the topological structure on this structure was defined. By using this set structure and topological concepts, different studies have been made and continue to be done on many decision-making problems and daily life problems. In this chapter, the authors define and investigate some properties of fuzzy parameterized fuzzy soft (FPFS) Ti (i=0,1,2,3,4) spaces using fuzzy parameterized fuzzy soft points. They also discuss some hereditary properties of these spaces. Further, they introduce fuzzy parameterized fuzzy soft connected spaces. Moreover, they explore some basic properties of these spaces.
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2. Preliminaries

Throughout this paper U denotes initial universe, E denotes the set of all possible parameters which are attributes, characteristic or properties of the objects in U and the set of all subsets of U will be denoted by P(U).

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