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: [email protected].
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.
