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Choquet–stieltjes integral as a tool for decision modeling
Author(s) -
Narukawa Yasuo,
Murofushi Toshiaki
Publication year - 2008
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.20260
Subject(s) - choquet integral , expected utility hypothesis , rank (graph theory) , mathematics , decision theory , decision model , computer science , mathematical economics , artificial intelligence , fuzzy logic , statistics , combinatorics
The usefulness of the Choquet integral for modeling decision under risk and uncertainty is shown. It is shown that some paradoxes of expected utility theory are solved using the Choquet integral. Necessary and sufficient conditions for the Choquet expected utility model for decision under uncertainty (or rank dependent utility model for decision under risk) being the same as its simplified versions are presented. © 2008 Wiley Periodicals, Inc.