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Article type: Research Article
Authors: Nawar, Ashraf S.a | Atef, Mohammeda | Khalil, Ahmed Mostafab; *
Affiliations: [a] Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, Egypt | [b] Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt
Correspondence: [*] Corresponding author. Ahmed Mostafa Khalil, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt. Tel.: +0201157633794. E-mail: a.khalil@azhar.edu.eg.
Abstract: The aim of this paper is to introduce and study different kinds of fuzzy soft β-neighborhoods called fuzzy soft β-adhesion neighborhoods and to analyze some of their properties. Further, the concepts of soft β-adhesion neighborhoods are investigated and the related properties are studied. Then, we present new kinds of lower and upper approximations by means of different fuzzy soft β-neighborhoods. The relationships among our models (i.e., Definitions 3.9, 3.12, 3.15 and 3.18) and Zhang models [48] are also discussed. Finally, we construct an algorithm based on Definition 3.12, when k = 1 to solve the decision-making problems and illustrate its applicability through a numerical example.
Keywords: Fuzzy soft β-covering, Fuzzy soft β-neighborhoods, Fuzzy soft β-adhesion neighborhoods, Decision-making
DOI: 10.3233/JIFS-201822
Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 10825-10836, 2021
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