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Article type: Research Article
Authors: Çetkin, Vildan; *
Affiliations: Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey
Correspondence: [*] Corresponding author. Vildan Çetkin, Department of Mathematics, Kocaeli University, Umuttepe Campus, 41380, Kocaeli, Turkey. Tel: +9 0262 3032100, Fax: +9 0262 3032003; E-mail: vildan.cetkin@kocaeli.edu.tr.
Abstract: The present study is devoted to describe the semi-precompactness degree of an L-fuzzy soft set in an L -fuzzy (E, K)-soft supra topological space, where L is a complete DeMorgan algebra. For this purpose, we first extend the concepts of preopen and semipreopen operators to the fuzzy soft universe and then by using these operators, we define the parameterized degree of semi-precompactness of an L-fuzzy soft set in an L-fuzzy (E, K)-soft supra topological space. We examine the relations between compactness degree and semi-precompactness degree of an L-fuzzy soft set. Moreover, we obtain several properties and some other characterizations of the proposed notion.
Keywords: Fuzzy soft set, fuzzy soft topology, preopen and semipreopen operator, compactness degree
DOI: 10.3233/JIFS-181830
Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3661-3670, 2019
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