Abstract
Existing decision-making methods are mostly a simple aggregation of expert decision information when solving large group decision-making problems. In these methods, priority should be given to expert weight information; however, it is difficult to avoid the loss of expert decision information in the decision-making process. Therefore, a new idea to solve the problem of large group decision-making by combining the expert group clustering algorithm and the group consensus model is proposed in this paper in order to avoid the disadvantages of subjectively assigning expert weights. First, expert groups are classified by the clustering algorithm of breadth-first search neighbors. Next, the decision information of the experts in the class is corrected adaptively using the group consensus model; then, expert decision information in the class is integrated using probabilistic linguistic translation methods. This method not only avoids the shortcomings of artificially given expert weights, but also reduces the loss of expert decision information. Finally, the method comprehensively considers the scale of the expert class and the difference between the classes to determine the weight of the expert class, and then it weights and integrates the consensus information of all expert classes to obtain the final decision result. This article verifies the effectiveness of the proposed method through a case analysis of urban water resource sustainability evaluation, and provides a scientific evaluation method for the sustainable development level of urban water resources.
Highlights
With the increasing complexity of social issues, decision-making is influenced by both subjective and objective factors
In the process of example decision-making by the classification aggregation model, the difference between experts is reduced by the expert classification, the weight assigned by all experts still needs to be calculated first in the process of expert decision information aggregation, and this weight has a great impact on the final decision-making results
We used the consensus model so as to reduce the amount of adjustment of the expert decision information, so that the classified expert group could reach a consensus within the class
Summary
With the increasing complexity of social issues, decision-making is influenced by both subjective and objective factors. It is difficult for a small number of experts to comprehensively judge all decision-making objects due to the limitation of their knowledge structure and cognitive level. The opinions of decision-makers could be more accurately expressed by using linguistic variables, because it is usually hard for decision-makers to provide accurate quantitative judgments in the decision-making process of some complex problems [1]. The research on hesitant fuzzy linguistic decision-making mainly focuses on the representation of linguistic terms, arithmetic rules, set-ups, and related decision-making methods
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