Results 181 to 190 of about 1,129,804 (223)

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

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   +2 more sources

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

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   +2 more sources

On the Robustness for the Choquet Integral

2010
Preference modeling consists in constructing a preference relation from initial preferences given by a decision maker. We are interested in the preference relation obtained from the use of the Choquet integral. We give some properties related to the completeness of the necessary preference relation and its comparison with the traditional approach where
openaire   +2 more sources

Transfer Learning for the Choquet Integral

2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
The Choquet integral (ChI) is a proven tool for information aggregation. In prior work, we showed that learning a ChI from data results in missing variables. Herein, we explore two ways to transfer a known ChI from a source domain to a new under sampled target domain.
Bryce Murray, Muhammad Aminul Islam, Anthony Pinar, Derek T. Anderson, Grant J. Scott, Timothy C. Havens, Fred Petry, Paul Elmore   +7 more
openaire   +2 more sources

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   +3 more sources

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   +3 more sources

Choquet integral for record linkage

Annals of Operations Research, 2011
Record linkage is used in data privacy to evaluate the disclosure risk of protected data. It models potential attacks, where an intruder attempts to link records from the protected data to the original data. In this paper we introduce a novel distance based record linkage, which uses the Choquet integral to compute the distance between records.
Daniel Abril, Guillermo Navarro-Arribas, Vicenç Torra   +2 more
openaire   +3 more sources