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An approach to aggregation of ordinal information in multi-criteria multi-person decision making using Choquet integral of Fubini type

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Abstract

An algorithm for the selection among n alternatives based on the evaluation of n (distinct) groups of persons according to the same m criteria is described. The evaluation of each person for each criterion is represented by a proportional ordinal 2-tuple and the overall opinion is aggregated by a pair of quantifier-guided ordered weighted averaging (OWA) aggregation and (floating) anchoring value-based ordered weighted averaging (AV-OWA) aggregation operators. An example is provided to illustrate the algorithm. The decision function of the algorithm is shown to be a Choquet integral of the associated function of two variables (corresponding to the two aggregation processes in the algorithm) which can be accomplished alternatively by a Choquet integral of Fubini type.

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Authors and Affiliations

  1. Department of Industrial Engineering and Management, Cheng Sieu University, Kaohsiung, Taiwan, ROC

    Jin-Hsien Wang

  2. Department of Applied Science, Naval Academy, Kaohsiung, Taiwan, ROC

    Jongyun Hao

Authors
  1. Jin-Hsien Wang
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  2. Jongyun Hao
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Correspondence to Jongyun Hao.

Additional information

This paper was an extended version of the paper “Aggregation of ordinal information in multi-criteria multi-person decision making based on Choquet integral of Fubini type” that has appeared in computational intelligence in decision and control: proceedings of the 8th international FLINS conference (pp. 525–530).

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Wang, JH., Hao, J. An approach to aggregation of ordinal information in multi-criteria multi-person decision making using Choquet integral of Fubini type. Fuzzy Optim Decis Making 8, 365–380 (2009). https://doi.org/10.1007/s10700-009-9066-1

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  • DOI: https://doi.org/10.1007/s10700-009-9066-1

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