Affiliations: [a] School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China | [b] Computational Science Hubei Key Laboratory, Wuhan University, Wuhan 430072, P.R. China
Correspondence:
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Corresponding author. Bao Qing Hu, School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China. Tel.: +86 027 68775350; E-mail: [email protected].
Abstract: In this paper, we investigate the relationship among soft sets, rough sets, fuzzy sets and lattices. The notion of soft rough fuzzy lattices (ideals, filters) over lattices is introduced, which is an extended notion of soft rough lattices (ideals, filters) and rough fuzzy lattices (ideals, filters) over lattices. Moreover, we study roughness in lattices with respects to a soft approximation space. Some new soft rough fuzzy operations over lattices are explored. In particular, lower and upper soft rough fuzzy lattices (ideals, filters) over lattices with respect to another fuzzy soft set are investigated.
