An Improved Uncertainty Measure Theory Based on Game Theory Weighting

In the application of uncertainty measure theory, the determination method of index weight mainly includes the subjective weight determination method and the objective weight determination method. The subjective weight determination method has the disadvantages affected by the subjective preference...

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Bibliographic Details
Published in:Mathematical problems in engineering 2019-01, Vol.2019 (2019), p.1-8
Main Authors: An, Le, Jin, Gang, Tian, Chong, He, Hujun
Format: Article
Language:English
Subjects:
Algorithms
Classification
Coalbed methane
Criteria
Decision making
Engineering
Entropy
Game theory
Mathematical problems
Object recognition
Optimization
Principal components analysis
Uncertainty
Weighting
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Summary:In the application of uncertainty measure theory, the determination method of index weight mainly includes the subjective weight determination method and the objective weight determination method. The subjective weight determination method has the disadvantages affected by the subjective preference of the decision-maker. The objective weight determination method often ignores the participation degree of the decision-maker, and when using the uncertainty measure evaluation model to perform multi-index classification evaluation, the credible degree recognition criterion is often used as the attribute recognition of the object to be measured, because the credible degree is taken by the subjective people, and the different values of different people have a great influence on the evaluation results. In order to solve the above problems in the uncertainty measure theory, this paper used the combination weighting of game theory to determine the optimal weight. At the same time, the credible degree recognition criterion was improved on the basis of the concept of minimum uncertainty measure distance, and a game theory-improved uncertainty measure optimization model was proposed. Finally, the validity of the model was proven by a case.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/3893129