Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
Application of Normalized Decision Measures to the New Case Classification
RSCTC '00 Revised Papers from the Second International Conference on Rough Sets and Current Trends in Computing
Information-theoretic measures of uncertainty for rough sets and rough relational databases
Information Sciences: an International Journal
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Fundamenta Informaticae
Quantitative analysis for covering-based rough sets through the upper approximation number
Information Sciences: an International Journal
Entropy measures and granularity measures for set-valued information systems
Information Sciences: an International Journal
Four matroidal structures of covering and their relationships with rough sets
International Journal of Approximate Reasoning
Characteristic matrix of covering and its application to Boolean matrix decomposition
Information Sciences: an International Journal
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Different generalizations to the case of coverings of the standard approach to entropy applied to partitions of a finite universe X are explored. In the first approach any covering is represented by an identity resolution of fuzzy sets on X and a corresponding probability distribution with associated entropy is defined. A second approach is based on a probability distribution generated by the covering normalizing the standard counting measure. Finally, the extension to a generic covering of the Liang-Xu approach to entropy is investigated, both from the "global" and the "local" point of view. For each of these three possible entropies the complementary entropy (or co-entropy) is defined showing in particular that the Liang-Xu entropy is a co-entropy.