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A link between the 2-additive Choquet Integral and Belief functions

Mayag, Brice; Grabisch, Michel; Labreuche, Christophe (2009), A link between the 2-additive Choquet Integral and Belief functions, in Carvalho, Joao Paulo; Dubois, Didier; Kaymak, Uzay; Da Costa Sousa, Joao Miguel, Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009., p. 363-368

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Type
Communication / Conférence
Date
2009
Conference title
Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference (EUSFLAT)
Conference date
2009-07
Conference city
Lisbonne
Conference country
Portugal
Book title
Proceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009.
Book author
Carvalho, Joao Paulo; Dubois, Didier; Kaymak, Uzay; Da Costa Sousa, Joao Miguel
ISBN
978-989-95079-6-8
Number of pages
1930
Pages
363-368
Metadata
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Author(s)
Mayag, Brice
Grabisch, Michel cc
Labreuche, Christophe
Abstract (EN)
In the context of decision under uncertainty, we characterize the 2-additive Choquet integral on the set of fictitious acts called binary alternatives or binary actions. This characterization is based on a fundamental property called MOPI which permits us to relate belief functions and the 2- additive Choquet integral.
Subjects / Keywords
Capacity; Möbius transform; Choquet integral; k -monotone function; Belief function; Decision under uncertainty