Results 171 to 180 of about 2,409 (216)

Nonmonotonic Choquet integrals

Journal of Mathematical Economics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Waegenaere, A., Wakker, P.P.
openaire   +6 more sources

SET DEFUZZIFICATION AND CHOQUET INTEGRAL

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001
In this paper, we discuss the defuzzification problem. We first propose a set defuzzification method, (from a fuzzy set to a crisp set) by using the Aumann integral. From the obtained set to a point, we have two methods of defuzzification. One of these uses the mean value method and the other uses a fuzzy measure.
Yukio Ogura, Shoumei Li, Dan A. Ralescu
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Aggregation of Choquet Integrals

2016
Aggregation functions acting on the lattice of all Choquet integrals on a fixed measurable space \((\mathrm {X},\mathcal {A})\) are discussed. The only direct aggregation of Choquet integrals resulting into a Choquet integral is linked to the convex sums, i.e., to the weighted arithmetic means.
Radko Mesiar, Ladislav Sipeky, Alexandra Siposová   +2 more
openaire   +1 more source

Choquet Integral Ridge Regression

2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2020
The Choquet integral (ChI) is an aggregation function that is defined with respect to a fuzzy measure (FM). Many ChI-based decision aggregation methods have been proposed to learn the underlying FM. However, FM's boundary and monotonicity constraints have limited the applicability of such methods to decision-level fusion.
Siva K. Kakula, Anthony J. Pinar, Timothy C. Havens, Derek T. Anderson   +3 more
openaire   +1 more source

Choquet Integral on Multisets

2014
Fuzzy measures on multisets are studied in this paper. We show that a class of multisets on a finite space can be represented as a subset of positive integers. Comonotonicity for multisets are defined. We show that a fuzzy measure on multisets with some comonotonicity condition can be represented by a generalized fuzzy integral.
Yasuo Narukawa, Vicenç Torra
openaire   +2 more sources

The Choquet integral with respect to a level dependent capacity

Fuzzy Sets and Systems, 2011
We present a generalization of Choquet integral in which the capacity depends also on the value of the aggregated variables.We show that as particular cases of our generalization of Choquet integral there are the Sugeno integral, theŠipoš integral and ...
, Benedetto Matarazzo, Silvio Giove
exaly   +2 more sources

Explainable AI for the Choquet Integral

IEEE Transactions on Emerging Topics in Computational Intelligence, 2021
The modern era of machine learning is focused on data-driven solutions. While this has resulted in astonishing leaps in numerous applications, explainability has not witnessed the same growth. The reality is, most machine learning solutions are black boxes. Herein, we focus on data/information fusion in machine learning. Specifically, we explore four
Bryce J. Murray, Muhammad Aminul Islam, Anthony J. Pinar, Derek T. Anderson, Grant J. Scott, Timothy C. Havens, James M. Keller   +6 more
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Classification based on Choquet integral

Journal of Intelligent & Fuzzy Systems, 2014
The Choquet integral is a powerful aggregation tool in information fusing and data mining. In this paper, a generalized nonlinear classification model based on single Choquet integral is summarized, and a novel generalized nonlinear classification model based on cross-oriented Choquet integrals is presented.
Rong Yang, Ren Ouyang
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Partially Bipolar Choquet Integrals

IEEE Transactions on Fuzzy Systems, 2009
Grabisch and Labreuche have recently proposed an extension of the Choquet integral adapted to situations where the values to be aggregated lie on a bipolar scale. The resulting continuous piecewise linear aggregation function has the ability to represent decisional behaviors that depend on the ldquopositiverdquo or ldquonegativerdquo satisfaction of ...
Ivan Kojadinovic, Christophe Labreuche
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Multi-polar Choquet integral

Fuzzy Sets and Systems, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrea Mesiarová-Zemánková, Khurshid Ahmad 0001   +1 more
openaire   +2 more sources