CANONICAL SEPARATED HIERARCHICAL DECOMPOSITION OF THE CHOQUET INTEGRAL OVER A FINITE-SET

Authors
MUROFUSHI T FUJIMOTO K SUGENO M
Citation
T. Murofushi et al., CANONICAL SEPARATED HIERARCHICAL DECOMPOSITION OF THE CHOQUET INTEGRAL OVER A FINITE-SET, International journal of uncertainty, fuzziness and knowledge-based systems, 6(3), 1998, pp. 257-272
Citations number
9
Categorie Soggetti
Computer Science Artificial Intelligence","Computer Science Artificial Intelligence
Journal title
International journal of uncertainty, fuzziness and knowledge-based systems → ACNP
ISSN journal
02184885
Volume
6
Issue
3
Year of publication
1998
Pages
257 - 272
Database
ISI
SICI code
0218-4885(1998)6:3<257:CSHDOT>2.0.ZU;2-U
Abstract
The paper shows the existence of a canonical separated hierarchical de composition of the Choquet integral over a finite set. The decomposed system is a hierarchical combination of Choquet integrals with mutuall y disjoint domains, and equivalent to the original Choquet integral. T he paper also gives canonical overlapped hierarchical decompositions o f the Choquet integral over a semiatom.