Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Rough Sets in Knowledge Discovery 2: Applications, Case Studies, and Software Systems
Rough Sets in Knowledge Discovery 2: Applications, Case Studies, and Software Systems
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
A Proposal of Probability of Rough Event Based on Probability of Fuzzy Event
TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing
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Standard rough sets are defined by a partition induced by an equivalence relation representing discernibility of elements. Equivalence relations may not provide a realistic view of relationships between elements in real-world applications. One may use coverings of, or non-equivalence relations on, the universe. In this paper, the notion of weak fuzzy similarity relations, a generalization of fuzzy similarity relations, is used to provide a more realistic description of relationships between elements. A special type of weak fuzzy similarity relations called conditional probability relation is discussed. Generalized rough set approximations are proposed by using a-coverings of the universe induced by conditional probability relations.