Certain types of fuzzy soft β-covering based fuzzy rough sets with application to decision-making

The aim of this paper is to introduce and study different kinds of fuzzy soft beta-neighborhoods called fuzzy soft beta-adhesion neighborhoods and to analyze some of their properties. Further, the concepts of soft beta-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 beta-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.