1. Certain types of fuzzy soft β-covering based fuzzy rough sets with application to decision-making.
- Author
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Nawar, Ashraf S., Atef, Mohammed, and Khalil, Ahmed Mostafa
- Subjects
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ROUGH sets , *FUZZY sets , *SOFT sets , *PROBLEM solving , *DECISION making , *ALGORITHMS , *NEIGHBORHOODS - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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