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

Jian-Zhang Wu, Yi-Ping Zhou, Li Huang and Jun-Jie Dong
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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

Mathematics, 2019, vol. 7, issue 3, 1-13

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.

Keywords: multicriteria decision analysis; capacity; MCCPI; shapley importance and interaction index; dominance relationship diagram (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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