Using the Degree r∈[0,1] in Defining Rough Fuzzy Sets

S. H. Alsulami, S. E. Abbas, S. Saleh, Ismail Ibedou and Ljubisa Kocinac

Journal of Mathematics, 2024, vol. 2024, 1-9

Abstract: This paper introduced a new definition of rough fuzzy sets based on a fuzzy ideal l defined on a fuzzy approximation space X,R. This definition considered the degree r∈0,1 in defining the after sets and the before sets of the arbitrary fuzzy relation R on the finite set of objects X. It is shown that this new type of roughness is a generalization to many of previous definitions in the fuzzy case and also in the ordinary case. As an application, it is given a rough fuzzy-connected set notion depending on some degree r∈0,1.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:1489444

DOI: 10.1155/2024/1489444

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