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

Published on Mar 24, 2019
· DOI :10.3390/math7030300
Jian-Zhang Wu1
Estimated H-index: 1
Yi-Ping Zhou1
Estimated H-index: 1
+ 1 AuthorsJun-Jie Dong1
Estimated H-index: 1
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.
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#1Anna KolesárováH-Index: 18
#2Jun Li (CUC: Communication University of China)H-Index: 12
Last.Radko Mesiar (University of Ostrava)H-Index: 44
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#1Jianzhang Wu (NBU: Ningbo University)H-Index: 1
#2Shanlin Yang (Hefei University of Technology)H-Index: 11
Last.Shuai Ding (Hefei University of Technology)H-Index: 1
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#1Jianzhang Wu (Shijiazhuang University of Economics)H-Index: 1
#2Qiang Zhang (BIT: Beijing Institute of Technology)H-Index: 7
Last.Zhiliang Dong (Shijiazhuang University of Economics)H-Index: 1
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