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On Some Generalizations of the Choquet Integral
2019In the present paper we survey several generalizations of the discrete Choquet integrals and we propose and study a new one. Our proposal is based on the Lovasz extension formula, in which we replace the product operator by some binary function F obtaining a new n-ary function \(\mathfrak {I}^F_{m}\).
Humberto Bustince +4 more
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Distances defined by Choquet integral
2007 IEEE International Fuzzy Systems Conference, 2007Some important inequalities in functional analysis are shown for the non-additive measure theory. As an application of the inequalities, the distances between fuzzy sets, which are generalisations of well-known distances, are introduced.
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Monte Carlo integration for Choquet integral
International Journal of Intelligent Systems, 2019Hamzeh Agahi +2 more
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Choquet Integral Models with a Constant
2010Choquet integral models are useful comprehensive evaluation models including interaction effects among evaluation items. Introducing a constant, Choquet integral model enables to change evaluation attitudes at the constant. In this paper, monotonicity and normality are defined for the model.
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Discrete Choquet integral and some of its symmetric extensions
Fuzzy Sets and Systems, 2011R Mesiar
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