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EUSFLAT
2009
214views Fuzzy Logic» more  EUSFLAT 2009»
13 years 4 months ago
Non-additive Robust Ordinal Regression with Choquet integral, Bipolar and Level Dependent Choquet integrals
Abstract-- Choquet integral has proved to be an effective aggregation model in multiple criteria decision analysis when interactions between criteria have to be taken into consider...
Silvia Angilella, Salvatore Greco, Benedetto Matar...
EUSFLAT
2009
138views Fuzzy Logic» more  EUSFLAT 2009»
13 years 4 months ago
Choquet Integral Based Evaluations by Fuzzy Rules
Abstract-- Choquet-integral-based evaluation models are proposed. The evaluation parameters
Eiichiro Takahagi
CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 5 months ago
Bipolarization of posets and natural interpolation
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of [0, 1]n. We take this basic fact as a starting poin...
Michel Grabisch, Christophe Labreuche
EOR
2002
101views more  EOR 2002»
13 years 6 months ago
Entropy of discrete Choquet capacities
We introduce a measure of entropy for any discrete Choquet capacity and we interpret it in the setting of aggregation by the Choquet integral. Keywords : entropy, discrete Choquet...
Jean-Luc Marichal
EUSFLAT
2003
117views Fuzzy Logic» more  EUSFLAT 2003»
13 years 7 months ago
On a modeling of decision making with a twofold integral
A Sugeno and a Choquet integrals are commonly used fuzzy integrals for aggregation. As a generalization of both integrals, the twofold integral is induced. The twofold integral en...
Hideyuki Imai, Vicenç Torra
EUSFLAT
2003
114views Fuzzy Logic» more  EUSFLAT 2003»
13 years 7 months ago
The Choquet integral for 2-additive bi-capacities
Bi-capacities have been presented recently by the authors as a natural generalization of capacities (fuzzy measures). Usual concepts as M¨obius transform, Shapley value and inter...
Michel Grabisch, Christophe Labreuche
EUSFLAT
2007
129views Fuzzy Logic» more  EUSFLAT 2007»
13 years 7 months ago
Representation of Two Bipolar Decision Strategies with Generalized Choquet Integrals
We study the notion of conditional relative importance in a quantitative framework. This is an important notion in the context of the Choquet integral since this latter is usually...
Christophe Labreuche, Michel Grabisch
EUSFLAT
2007
107views Fuzzy Logic» more  EUSFLAT 2007»
13 years 7 months ago
Extending the Choquet integral
In decision under uncertainty, the Choquet integral yields the expectation of a random variable with respect to a fuzzy measure (or non-additive probability or capacity). In gener...
Giovanni Rossi
EUSFLAT
2007
125views Fuzzy Logic» more  EUSFLAT 2007»
13 years 7 months ago
On the Moments and the Distribution of the Choquet Integral
We investigate the distribution functions and the moments of the so-called Choquet integral, also known as the Lov´asz extension, when regarded as a real function of a random sam...
Ivan Kojadinovic, Jean-Luc Marichal
GRC
2009
IEEE
13 years 10 months ago
On the uniqueness of the expression for the Choquet integral with linear core in classification
The Choquet integral has been applied in data mining, such as nonlinear multiregressions and nonlinear classifications. Adopting signed efficiency measure in the Choquet integral ...
Weiwei Zhang, Wei Chen, Zhenyuan Wang