Fuzzy rough sets with a fuzzy ideal

Author:

Ibedou IsmailORCID,Abbas S. E.

Abstract

AbstractIn 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 intlambdaR and the fuzzy ideal approximation closure operator $\text {cl}_{\lambda }^{R}$ cl λ 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.

Publisher

Springer Science and Business Media LLC

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Single-Valued Neutrosophic Roughness via Ideals;International Journal of Analysis and Applications;2024-02-27

2. Multi-Granulation Double Fuzzy Rough Sets;Symmetry;2023-10-17

3. Building a model to exploit association rules and analyze purchasing behavior based on rough set theory;The Journal of Supercomputing;2022-02-07

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