Discrete & Computational Geometry
Classification by fuzzy integral: performance and tests
Fuzzy Sets and Systems - Special issue on fuzzy methods for computer vision and pattern recognition
Identification of &lgr;-fuzzy measure by genetic algorithms
Fuzzy Sets and Systems
A sweep-plane algorithm for generating random tuples in simple polytopes
Mathematics of Computation
Faster random generation of linear extensions
Discrete Mathematics - Special issue on partial ordered sets
Efficient algorithms on distributive lattices
Discrete Applied Mathematics
Lectures on Discrete Geometry
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Identification of fuzzy measures from sample data with genetic algorithms
Computers and Operations Research
Simulation and the Monte Carlo Method (Wiley Series in Probability and Statistics)
Simulation and the Monte Carlo Method (Wiley Series in Probability and Statistics)
On the random generation of monotone data sets
Information Processing Letters
Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
Information Sciences: an International Journal
An algorithm for identification of fuzzy measure
Fuzzy Sets and Systems
KES'07/WIRN'07 Proceedings of the 11th international conference, KES 2007 and XVII Italian workshop on neural networks conference on Knowledge-based intelligent information and engineering systems: Part III
On the Structure of Some Families of Fuzzy Measures
IEEE Transactions on Fuzzy Systems
Exploiting the Lattice of Ideals Representation of a Poset
Fundamenta Informaticae
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In this paper we deal with the problem of obtaining a random procedure for generating fuzzy measures. We use the fact that the polytope of fuzzy measures is an order polytope, so that it has special properties that allow to build a uniform algorithm. First, we derive an exact procedure based on an existing procedure to generate random linear extensions; then, we study the applicability of this algorithm to the polytope of fuzzy measures, showing that the complexity grows dramatically with the cardinality of the referential set. Next, we study other heuristics appearing in the literature for the polytope of fuzzy measures; our results seem to mean that these procedures cannot be applied to this case either. Finally, we propose another heuristic that reduces the complexity and could be used instead of the other procedures. We finish comparing the performance of this heuristic with the other possibilities, showing that our alternative seems to work better for the polytope of fuzzy measures.