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» Fuzzy Measures and Choquet Integral on Discrete Spaces
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EUSFLAT
2003
114views Fuzzy Logic» more  EUSFLAT 2003»
13 years 6 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
2003
122views Fuzzy Logic» more  EUSFLAT 2003»
13 years 6 months ago
Monotone measures of intuitionistic fuzzy sets
Our main goal is to extend the domain of a monotone measure to a class of intuitionistic fuzzy sets. The extension is made by using of the Choquet integral.
Piotr Nowak
JLP
2008
92views more  JLP 2008»
13 years 5 months ago
Relational measures and integration in preference modeling
Based on a set of criteria and a measuring lattice, we introduce relational measures as generalizations of fuzzy measures. The latter have recently made their way from the interva...
Gunther Schmidt, Rudolf Berghammer
EUSFLAT
2007
193views Fuzzy Logic» more  EUSFLAT 2007»
13 years 6 months ago
A Universal Integral
Based on a minimal set of axioms we introduce a general integral which can be defined on arbitrary measurable spaces. It acts on measures which are only (finite) monotone set fu...
Erich-Peter Klement, Radko Mesiar, Endre Pap
EUSFLAT
2001
13 years 6 months ago
A geometric approach to aggregation
In analogy to the representation of the standard probabilistic average as an expected value of a random variable, a geometric approach to aggregation is proposed. Several properti...
Erich-Peter Klement, Radko Mesiar, Endre Pap