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Multicriteria Correlation Preference Information (MCCPI)-Based Ordinary Capacity Identification Method

Author

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  • Jian-Zhang Wu

    (School of Business, Ningbo University, Ningbo 315211, China)

  • Yi-Ping Zhou

    (School of Business, Ningbo University, Ningbo 315211, China)

  • Li Huang

    (School of Business, Ningbo University, Ningbo 315211, China)

  • Jun-Jie Dong

    (School of Business, Ningbo University, Ningbo 315211, China)

Abstract

Multicriteria correlation preference information (MCCPI) refers to a special type of 2-dimensional explicit information: the importance and interaction preferences regarding multiple dependent decision criteria. A few identification models have been established and implemented to transform the MCCPI into the most satisfactory 2-additive capacity. However, as one of the most commonly accepted particular type of capacity, 2-additive capacity only takes into account 2-order interactions and ignores the higher order interactions, which is not always reasonable in a real decision-making environment. In this paper, we generalize those identification models into ordinary capacity cases to freely represent the complicated situations of higher order interactions among multiple decision criteria. Furthermore, a MCCPI-based comprehensive decision aid algorithm is proposed to represent various kinds of dominance relationships of all decision alternatives as well as other useful decision aiding information. An illustrative example is adopted to show the proposed MCCPI-based capacity identification method and decision aid algorithm.

Suggested Citation

  • Jian-Zhang Wu & Yi-Ping Zhou & Li Huang & Jun-Jie Dong, 2019. "Multicriteria Correlation Preference Information (MCCPI)-Based Ordinary Capacity Identification Method," Mathematics, MDPI, vol. 7(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:300-:d:216813
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    References listed on IDEAS

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    Cited by:

    1. Jian-Zhang Wu & Feng-Feng Chen & Yan-Qing Li & Li Huang, 2020. "Capacity Random Forest for Correlative Multiple Criteria Decision Pattern Learning," Mathematics, MDPI, vol. 8(8), pages 1-15, August.
    2. Li Huang & Jian-Zhang Wu & Rui-Jie Xi, 2020. "Nonadditivity Index Based Quasi-Random Generation of Capacities and Its Application in Comprehensive Decision Aiding," Mathematics, MDPI, vol. 8(2), pages 1-14, February.

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