属性权重未知 picture 模糊多属性决策方法及其应用.

In order to solve the picture fuzzy multi-attribute decision making problem with unknown attribute weights, this paper proposed a new picture fuzzy entropy and picture fuzzy weighted symmetric cross entropy for multi-attribute decision making method. Firstly, based on the cosine function, this paper proposed a new picture fuzzy entropy and verified that the entropy va-lue met the axiomatic definition of picture fuzzy entropy. Secondly, according to the picture fuzzy decision matrix after stan-dardization, this paper used the picture fuzzy entropy to determine the weight of each attribute, based on this, determined the positive and negative ideal alternatives at the same time. Thirdly, it calculated the picture fuzzy weighted symmetric cross entropy of each alternative with positive and negative ideal alternatives respectively. According to the decision maker’s subjective evaluation tendency, the ranking results of each alternative could be obtained by fuzzy compromise ratio. Finally, the selection of innovative projects in Zhengzhou area of Henan Pilot Free Trade Zone could illustrate the proposed method, and by using comparative analysis to verify effectiveness and rationality of the decision-making method. [ABSTRACT FROM AUTHOR]