Semantics of Fuzzy Sets in Rough Set Theory

  title={Semantics of Fuzzy Sets in Rough Set Theory},
  author={Yiyu Yao},
  booktitle={Trans. Rough Sets},
The objective of this chapter is to provide a semantic framework for fuzzy sets in the theory of rough sets. Rough membership functions are viewed as a special type of fuzzy membership functions interpretable using conditional probabilities. The relationships between fuzzy membership functions and rough membership functions, between core and support of fuzzy set theory and lower and upper approximation of rough set theory, are investigated. It is demonstrated that both theories share the same… CONTINUE READING
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