Fuzzy rough sets with a fuzzy ideal

Journal of the Egyptian Mathematical Society

Ismail Ibedou¹  S. E. Abbas² 

[1] Department of Mathematics, Faculty of Science, Benha University;Department of Mathematics, Faculty of Science, Sohag University;

关键词: Fuzzy rough set;    Fuzzy ideal;    Fuzzy ideal approximation space;    Fuzzy ideal continuity;    Fuzzy ideal connectedness;   

DOI  :  10.1186/s42787-020-00096-2

来源: DOAJ

【 摘 要 】

Abstract In this paper, we defined the fuzzy upper, fuzzy lower, and fuzzy boundary sets of a rough fuzzy set λ in a fuzzy approximation space (X,R). Based on λ and R, we introduced the fuzzy ideal approximation interior operator intlambda R and the fuzzy ideal approximation closure operator cl λ R $\text {cl}_{\lambda }^{R}$ . We joined the fuzzy ideal notion with the fuzzy approximation spaces, and then introduced the fuzzy ideal approximation closure and interior operators associated to a rough fuzzy set λ. Fuzzy ideal approximation connectedness and the fuzzy ideal approximation continuity between fuzzy ideal approximation spaces are introduced.

【 授权许可】

Unknown