Affiliations: [a] School of Business, Sichuan Normal University, Chengdu, P.R. China | [b] School of Statistics, Southwestern University of Finance and Economics, Chengdu, P.R. China | [c] School of Finance, Southwestern University of Finance and Economics, Chengdu, P.R. China
Correspondence:
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Corresponding author. Siqi Wang, School of Business, Sichuan Normal University, Chengdu, P.R. China. E-mail: blackarberry@126.com.
Abstract: Probabilistic linguistic term sets are used to express uncertain decision information in multiple attribute group decision making problems. For probabilistic linguistic multiple attribute group decision making (MAGDM) with weight determined by CRITIC (Criteria Importance Through Intercriteria Correlation) method, the probabilistic linguistic grey relational projection method is proposed in this paper. Firstly, the correlation coefficient among attributes and standard deviation of each attribute are utilized to compute the attributes weights. Then the most ideal alternative is decided by means of counting the grey relational projection (GRP) from probabilistic linguistic positive ideal solution and probabilistic linguistic negative ideal solution. In the end, a numerical example for site selection of hospital constructions is applied to further account for the extended method. The result demonstrates the availability of the proposed method and it can be used in other fields which refers to problems of selection.
Keywords: Multiple attribute group decision making; probabilistic linguistic term sets, CRITIC method, grey relational projection method, site selection of hospital constructions
