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The use of quasi-concave value functions in MCDM: some theoretical results

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Abstract

In this paper we answer three important questions about the convex-cone dominance approach in Multiple Criteria Decision Making with a finite number of alternatives. These questions concern the existence of value (utility) functions and the consistency of the preference information with special forms of this function.

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Acknowledgements

The authors would like to express their gratitude to the anonymous referees for helpful comments on the first version of the paper. The research of the second author was in part supported by a grant from IPM (No. 95260124).

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Correspondence to Jyrki Wallenius.

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Korhonen, P., Soleimani-damaneh, M. & Wallenius, J. The use of quasi-concave value functions in MCDM: some theoretical results. Math Meth Oper Res 86, 367–375 (2017). https://doi.org/10.1007/s00186-017-0601-5

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  • DOI: https://doi.org/10.1007/s00186-017-0601-5

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