Semiatoms in Choquet Integral Models of Multiattribute Decision Making

Toshiaki Murofushi

doi:10.20965/jaciii.2005.p0477

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JACIII Vol.9 No.5 pp. 477-483

doi: 10.20965/jaciii.2005.p0477

(2005)

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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

Published:

September 20, 2005

Keywords:

fuzzy measure, Choquet integral, semiatom, multiattribute utility theory

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.

Cite this article as:

Toshiaki Murofushi, “Semiatoms in Choquet Integral Models of Multiattribute Decision Making,” J. Adv. Comput. Intell. Intell. Inform., Vol.9, No.5, pp. 477-483, 2005.

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