Fuzzy soft $$\beta$$-covering based fuzzy rough sets and corresponding decision-making applications
International Journal of Machine Learning and Cybernetics(2019)
Abstract
In this article, the concepts of fuzzy soft \(\beta\)-coverings, fuzzy soft \(\beta\)-neighborhoods and fuzzy soft complement \(\beta\)-neighborhoods are firstly proposed and some related properties are studied. Then four distinct types of fuzzy soft \(\beta\)-coverings based fuzzy rough sets are defined. Furthermore, we explore the relationships among the several types of fuzzy soft \(\beta\)-coverings based fuzzy rough sets. In particular, by means of \(\beta\)-level subsets of fuzzy soft \(\beta\)-coverings, some kinds of soft coverings based rough sets are also investigated. Finally, by means of fuzzy soft \(\beta\)-coverings based fuzzy rough sets, we give a detailed description of an algorithmic procedure of decision-making for the new approach.
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Key words
Fuzzy soft (complement)$$\beta$$β-neighborhood, $$\beta$$β-level subset, Fuzzy soft $$\beta$$β-covering based fuzzy, Decision-making application
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