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Semiatoms in Choquet Integral Models of Multiattribute Decision Making


Toshiaki Murofushi


Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, 4259-G3-47 Nagatsuta, Midori-ku, Yokohama 226-8502, Japan


Received: October 19, 2004

Accepted: December 6, 2004


Keywords: fuzzy measure, Choquet integral, semiatom, multiattribute utility theory

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.9, No.5 pp. 477-483, 2005

Abstract



The semiatom is characterized in terms of the multiattribute preference relation represented by a Choquet integral. It is concluded from the characterization that the proper semiatom, the semiatom which is not an atom, is pathological in multiattribute decision making.
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