Results 161 to 170 of about 12,608 (206)

The balancing Choquet integral

Fuzzy Sets and Systems, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrea Mesiarová-Zemánková, Radko Mesiar, Khurshid Ahmad 0001   +2 more
exaly   +3 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
openaire   +2 more sources

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

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
openaire   +1 more source

A graphical interpretation of the Choquet integral

IEEE Transactions on Fuzzy Systems, 2000
The Choquet integral (1953) is a fuzzy measure used as a powerful aggregation operator over a finite set of elements. We present a graphical interpretation of the Choquet integral, viewed as an aggregation operator in the case of two elements. The interpretation relies on the interaction representation introduced by the author.
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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

The bipolar Choquet g-integrals

2019 IEEE 17th International Symposium on Intelligent Systems and Informatics (SISY), 2019
In this paper a special class of the bipolar universal integrals is investigated, with the bipolar Choquet integral as its the most prominent member. Different representations and the Jensen-Steffensen type inequality for bipolar integrals belonging to this class of universal integrals are proposed and illustrated in given examples.
Biljana P. Mihailovic, Mirjana Strboja, Milos Todorov   +2 more
openaire   +1 more source