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Separation Axioms and Connectedness on Fuzzy Parameterized Fuzzy Soft Topological Spaces
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Author(s): Adem Yolcu (Kafkas University, Turkey)and Taha Yasin Öztürk (Kafkas University, Turkey)
Copyright: 2022
Pages: 16
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
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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