Affiliation:
1. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan 250014, China
2. School of Management Engineering, Shandong Jianzhu University, Jinan 250101, China
Abstract
As an important branch of modern decision-making theory, multi-attribute decision-making (MADM) plays an important role in various fields. Classic MADM methods can provide a ranking of alternatives, and decision-makers need to evaluate the level subjectively based on the ranking results. Because of the limitation of knowledge, this is likely to lead to potential individual losses. Three-way decision (3WD) theory has good classification ability. Therefore, this paper proposes a dynamic hybrid multi-attribute 3WD (MA3WD) model. First, a new scheme for constructing loss functions is proposed from the perspective of gray relational analysis (GRA), which is an accurate and objective way to describe the relationship between loss functions and attribute values. Then, conditional probabilities are determined by employing the gray relational analysis technique for order preference by similarity to the ideal solution (GRA-TOPSIS). With these discussions, a GRA-based hybrid MA3WD model for a single period is proposed by considering multi-source information. Furthermore, by extending the single-period scenario to a multi-period one, we construct a dynamic hybrid MA3WD model, which can obtain the final three-way decision rules as well as the results of each period and each attribute. Finally, the proposed method is applied to the case of performance evaluation of elderly-care services to demonstrate the effectiveness of the method, and comparative analyses are given to verify the superiority of the proposed method.
Funder
Humanities and Social Sciences Research Project of the Ministry of Education of China
Shandong Social Science Planning Fund Program
Natural Science Foundation of Shandong Province
Higher Educational Social Science Program of Shandong Province
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)