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
Reference16 articles.
1. Pawlak, Z.: Rough sets. Int. J. Inf. Comput. Sci. 11, 341—356 (1982).
2. Zhi, P., Pei, P., Zheng, L.: Topology vs generalized rough sets. Fuzzy Sets Syst. 52(2), 231–239 (2011).
3. Chen, X., Li, Q.: Construction of rough approximations in fuzzy setting. Fuzzy Sets and Syst. 158, 2641–2653 (2007).
4. Dubois, D., Prade, H.: Rough fuzzy sets and fuzzy rough sets. Int. J. Gen. Syst. 17(2-3), 191–209 (1990).
5. Li, Z., Xie, T.: Roughness of fuzzy soft sets and related results. Int. J. Comput. Intell. Syst. 8(2), 278–296 (2015).
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