Reference : Entropy of bi-capacities
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/2833
Entropy of bi-capacities
English
Kojadinovic, Ivan mailto [École Polytechnique de l’Université de Nantes, Nantes, France > LINA CNRS FRE 2729]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)]
1-Apr-2007
European Journal of Operational Research
Elsevier Science
178
1
168-184
Yes (verified by ORBilu)
International
0377-2217
Amsterdam
The Netherlands
[en] multicriteria decision making ; bi-capacity ; Choquet integral ; entropy
[en] In the context of multicriteria decision making whose aggregation process is based on the Choquet integral, bi-capacities can be regarded as a natural extension of capacities when the underlying evaluation scale is bipolar. The notion of entropy, recently generalized to capacities to measure their uniformity, is now extended to bi-capacities. We show that the resulting entropy measure has a very natural interpretation in terms of the Choquet integral and satisfies many natural properties that one would expect from an entropy measure.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/2833
10.1016/j.ejor.2005.10.058

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