Abstract
The aim of study is to improve the consistency of fuzzy complementary judgment matrices. Group decision making problems with different forms of p reference information are discussed. Firstly, four forms of p reference information (i.e., preference ordering, utility value, AHP judgment matrix and fuzzy judgment matrix) are introduced and the computing formulas are given to uniform different forms of preference information into the form of fuzzy judgment matrix. Then, the paper discusses the method of testing the complete consistency of the fuzzy complementary judgment matrices. On the basis of some theories, a new algorithm is proposed to improve the fuzzy complementary judgment matrices consistency. And then the paper analyzes the feasibility of the algorithm theoretically. The algorithm is not only simple and effective, but also can provides a new idea for the research on attributes sorting or some references for expert s to modify the original judgment matrix.
Highlights
The different preference information structures of the comparison matrix, utility value, and preference order are probably adopted owing to the decision-making difference on knowledge structures, individual preference and judgment level of the decision maker
If the fuzzy judgment matrix given by decision-makers has incomplete consistency, it needs to be revised
The revision will change the original judgment matrix to a certain extent, which will result the inconsistency of the final results with the opinion of actual experts
Summary
The different preference information structures of the comparison matrix, utility value, and preference order are probably adopted owing to the decision-making difference on knowledge structures, individual preference and judgment level of the decision maker. The fuzzy judgment matrix that decision-makers give has incomplete consistency (Switalski, 2001), so the fuzzy judgment matrix must be adjusted. In this case, the aggregation approach of how to aggregate different structure preference from single decision maker into group preference should be studied (Kacprzyk et al, 1992; Romero, 2001). If the fuzzy judgment matrix given by decision-makers has incomplete consistency, it needs to be revised. The aim of study is to improve the consistency of fuzzy complementary judgment matrices
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