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Factors Evaluation of Fog-Haze Weather Based on Hesitant Fuzzy Preference Relations |
JIN Fei-Fei1,2, NI Zhi-Wei1,2 |
1.School of Management, Hefei University of Technology, Hefei 230009 2.Key Laboratory of Process Optimization and Intelligent Decision-Making of Ministry of Education,Hefei University of Technology, Hefei 230009 |
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Abstract Aiming at group decision making problems under hesitant fuzzy environment, the concept of hesitant fuzzy preference relation is introduced. The additive consistency, multiplicative consistency and order consistency of the hesitant fuzzy preference relations are defined. A decision-making method of ranking alternative method is established based on the additive consistency and multiplicative consistency to obtain the priority weights. The consistency of hesitant fuzzy preference relations is improved effectively by the proposed method, and thus the improved preference relations can satisfy the need of additive consistency and multiplicative consistency. The optimization models are further developed to get the priority weight vector of the alternatives. Meanwhile, the preference information of the decision maker is retained in the decision process as much as possible, and the model is simplified. Therefore, the application of the hesitant fuzzy theory is greatly extended. The practicability and the effectiveness of the proposed method are verified through the experiment of affecting factors of fog-haze weather.
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Received: 24 December 2014
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