Representation of Rough Sets Based on Intuitionistic Fuzzy Special Sets
نویسندگان
چکیده
Intuitionistic fuzzy special sets is a special case of intuitionistic fuzzy sets. In this paper, under the framework of information systems, the relationship between intuitionistic fuzzy special sets and rough sets is analyzed. Based on basic intuitionistic fuzzy special sets of information systems, intuitionistic fuzzy special σ-algebra are generated, and rough sets are embedded in the intuitionistic fuzzy special σ-algebra. Naturally, distances (e.g., Hamming distance or Euclidean distance) of intuitionistic fuzzy special sets in intuitionistic fuzzy special σ-algebra can be used to evaluate predication rules of information systems which is an important subject of rough set theory.
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