Advances in the Dempster-Shafer theory of evidence
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Fuzzy Functional Dependency and Its Application to Approximate Data Querying
IDEAS '00 Proceedings of the 2000 International Symposium on Database Engineering & Applications
Interpreting Fuzzy Membership Functions in the Theory of Rough Sets
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Conditional Probability Relations in Fuzzy Relational Database
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
A comparative study of fuzzy sets and rough sets
Information Sciences: an International Journal
| Hi-index | 0.00 |
Rough set theory is developed based on the notion of equivalence relation, but the property of equivalence has limited its application fields, which may not provide a realistic description of real-world relationships between elements. The paper presents a transition from the equivalence relation to the compatibility relation, called Compatibility Rough Set Theory or, in short, CRST. A specific type of fuzzy compatibility relations, called conditional probability relations, is discussed. All basic concepts or rough set theory are extended. Generalized rough set approximations are defined by using coverings of the universe induced by a fuzzy compatibility relation. Generalized rough membership functions are defined and their properties are examined.