Open AccessConsistency-based weight form and its application in multi-attribute group decision making
Author(s) -
Wei Dai,
Nan Hao
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1607/1/012112
Subject(s) - group decision making , consistency (knowledge bases) , weight , similarity (geometry) , point (geometry) , ideal (ethics) , ideal point , projection (relational algebra) , process (computing) , degree (music) , computer science , group (periodic table) , topsis , mathematics , artificial intelligence , data mining , algorithm , operations research , psychology , social psychology , image (mathematics) , philosophy , chemistry , physics , geometry , organic chemistry , epistemology , lie algebra , acoustics , pure mathematics , operating system
Due to the complexity of the multi-attribute group decision-making problem, how to determine the weight of different experts on different attributes is a difficult point in current multi-attribute decision-making problem. The authors believe that weights of experts should be reflected in the decision-making process, rather than subjectively determined before the decision. If an expert’s decision-making results can better express the collective will, this expert should be given greater weight. Based on this idea, this paper proposes a weight determination method based on the similarity of individual and collective wishes of experts. First, the improved traditional projection method is proposed. The weight is determined by the degree of agreement between the experts’ individual evaluation vector and the ideal evaluation vector, so that the experts’ weights are more consistent with their performance in the decision-making process. Secondly, combining the new weight form with the ideal point method, a multi-attribute group decision-making method based on the agreement degree is proposed. Finally, the validity of the proposed multi-attribute group decision-making method based on the new weight form is verified by a case simulation.