The Shapley value on convex geometries
Discrete Applied Mathematics
Entropy of discrete fuzzy measures
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - special issue on measures and aggregation: formal aspects and applications to clustering and decision
General entropy of general measures
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
An axiomatic approach to the definition of the entropy of a discrete Choquet capacity
Information Sciences: an International Journal
On the entropy of fuzzy measures
IEEE Transactions on Fuzzy Systems
Information Sciences: an International Journal
An Axiomatization of Shapley Values of Games on Set Systems
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Parameterized defuzzification with continuous weighted quasi-arithmetic means - An extension
Information Sciences: an International Journal
Three alternative combinatorial formulations of the theory of evidence
Intelligent Data Analysis - Artificial Intelligence
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We propose a definition for the entropy of capacities defined on lattices. Classical capacities are monotone set functions and can be seen as a generalization of probability measures. Capacities on lattices address the general case where the family of subsets is not necessarily the Boolean lattice of all subsets. Our definition encompasses the classical definition of Shannon for probability measures, as well as the entropy of Marichal defined for classical capacities. Some properties and examples are given.