Abstract
This paper studies lattice structure of the family of rough fuzzy sets in a given approximation space. Our result is an extension of standard rough sets. Starting with the definition of rough fuzzy sets, the union, intersection and pseudocomplementation operations are generalized. Then it is proved that the above family with these operations is a distributive lattice. This paper also gives the characterization of borderline region of rough fuzzy sets. © 2009 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Liu, G. (2009). Lattice structures of rough fuzzy sets. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5908 LNAI, pp. 253–260). https://doi.org/10.1007/978-3-642-10646-0_31
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