Model for selection of hospital constructions with probabilistic linguistic GRP method

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.

Automated summary

This paper proposes a probabilistic linguistic grey relational projection method for probabilistic linguistic multiple attribute group decision making (MAGDM), which calculates attribute weights using correlation coefficients and standard deviations, and determines the ideal alternative by counting grey relational projections from probabilistic linguistic positive and negative ideal solutions. A numerical example for hospital site selection is used to demonstrate the applicability of the method in other selection-related fields.