Covering-based fuzzy rough sets
Author(s) -
Qingzhao Kong,
Zengxin Wei
Publication year - 2015
Publication title -
journal of intelligent and fuzzy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.331
H-Index - 57
eISSN - 1875-8967
pISSN - 1064-1246
DOI - 10.3233/ifs-151940
Subject(s) - rough set , mathematics , fuzzy set , intersection (aeronautics) , complement (music) , dominance based rough set approach , fuzzy logic , fuzzy set operations , fuzzy classification , data mining , discrete mathematics , computer science , artificial intelligence , biochemistry , chemistry , complementation , gene , engineering , phenotype , aerospace engineering
Many researchers have combined rough set theory and fuzzy set theory in order to easily approach problems of imprecision and uncertainty. Covering-based rough sets are one of the important generalizations of classical rough sets. Naturally, covering-based fuzzy rough sets can be studied as a combination of covering-based rough set theory and fuzzy set theory. It is clear that Pawlak's rough set model and fuzzy rough set model are special cases of the covering-based fuzzy rough set model. This paper investigates the properties of covering-based fuzzy rough sets. In addition, operations of intersection, union and complement on covering-based fuzzy rough sets are investigated. Finally, the corresponding algebraic properties are discussed in detail.
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