论文信息 - Preference modeling on totally ordered sets by the Sugeno integral

Preference modeling on totally ordered sets by the Sugeno integral

We present in this paper necessary and sufficient conditions for the representation of preferences in a decision-making problem, by the Sugeno integral, in a purely ordinal framework. We distinguish between strong representation (exact) and weak representation (no contradiction on strict preferences).

[1] Jean-Luc Marichal,et al. Aggregation operators for multicriteria decision aid , 1998 .

[2] Toshiaki Murofushi. Lexicographic use of Sugeno integrals and monotonicity conditions , 2001, IEEE Trans. Fuzzy Syst..

[3] Christophe Labreuche,et al. The Choquet integral for the aggregation of interval scales in multicriteria decision making , 2003, Fuzzy Sets Syst..

[4] Didier Dubois,et al. Decision-theoretic foundations of qualitative possibility theory , 2001, Eur. J. Oper. Res..

[5] Didier Dubois,et al. Weighted minimum and maximum operations in fuzzy set theory , 1986, Inf. Sci..

[6] S. Greco,et al. Conjoint measurement and rough set approach for multicriteria sorting problems in presence of ordinal criteria , 2001 .

[7] Jean-Luc Marichal,et al. An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework , 2001, IEEE Trans. Fuzzy Syst..

[8] Jaap Van Brakel,et al. Foundations of measurement , 1983 .

[9] Michel Grabisch,et al. On Preference Representation on an Ordinal Scale , 2001, ECSQARU.

[10] 菅野道夫,et al. Theory of fuzzy integrals and its applications , 1975 .

[11] Didier Dubois,et al. The Use of the Discrete Sugeno Integral in Decision-Making: A Survey , 2001, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[12] Michel Grabisch,et al. Representation of preferences over a finite scale by a mean operator , 2006, Math. Soc. Sci..