On the polytope of non-additive measures
Fuzzy Sets and Systems
The Polytope of Fuzzy Measures and Its Adjacency Graph
MDAI '08 Sabadell Proceedings of the 5th International Conference on Modeling Decisions for Artificial Intelligence
Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
Information Sciences: an International Journal
Adjacency on the order polytope with applications to the theory of fuzzy measures
Fuzzy Sets and Systems
On the structure of the k-additive fuzzy measures
Fuzzy Sets and Systems
On distorted probabilities and m-separable fuzzy measures
International Journal of Approximate Reasoning
An algorithm for finding the vertices of the k-additive monotone core
Discrete Applied Mathematics
Estimation of fuzzy measures using covariance matrices in Gaussian mixtures
Applied Computational Intelligence and Soft Computing
On random generation of fuzzy measures
Fuzzy Sets and Systems
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The generation of fuzzy measures is an important question arising in the practical use of these operators. In this paper, we deal with the problem of developing a random generator of fuzzy measures. More concretely, we study some of the properties that any random generator should satisfy. These properties lead to some theoretical problems concerning the group of isometries that we tackle in this paper for some subfamilies of fuzzy measures.