WPHFS 多属性群决策模型与应用.

Different membership degrees in the probabilistic hesitant fuzzy element entrust decisionmaking experts with comprehensive weights, thereby constructing a probabilistic hesitant fuzzy set with more information and more in line with the needs of decision problems - weighted probabilistic hesitant fuzzy set （WPHFS）, which is described by three-dimensional vector. On this basis, the threedimensional vector score function model, three-dimensional vector deviation function model of weighted probabilistic hesitant fuzzy element（WPHFE）and two weighted probabilistic hesitant fuzzy element size criteria are established. Firstly, weighted probabilistic hesitant fuzzy element's threedimensional vector score function value and three-dimensional vector deviation function value are used to calculate the external weight and internal weight of attributes respectively, and then to calculate the comprehensive weight of attributes. Secondly, based on the idea of maximum deviation, a method for calculating the comprehensive weight of decision experts is presented with the combination with the comprehensive weight of decision experts and the comprehensive weight of attributes. Again, the 0-1 priority relationship matrix is used to intuitively obtain the total attribute weight advantage value and total attribute weight disadvantage value of two alternatives. The goal of sorting scheme is achieved according to the size between the two. Finally, the practical value of the theory and method are finally illustrated by an application example. [ABSTRACT FROM AUTHOR]