Semantics of Fuzzy Sets in Rough Set Theory

@inproceedings{Yao2004SemanticsOF,
  title={Semantics of Fuzzy Sets in Rough Set Theory},
  author={Yiyu Yao},
  booktitle={Trans. Rough Sets},
  year={2004}
}
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
Highly Cited
This paper has 34 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 23 references

A comparative study of fuzzy sets and rough sets

  • Y. Y. Yao
  • Information Sciences,
  • 1998
Highly Influential
5 Excerpts

Rough sets and interval fuzzy sets

  • Y. Y. Yao
  • Proceedings of Joint 9th IFSA World Congress and…
  • 2001
1 Excerpt