加权概率q阶犹豫模糊集及其决策应用OA

By assigning weights to the membership degree and non-membership degree in a probabilistic q-rung hesitant fuzzy set simultaneously for decision experts,a weighted probabilitic q-rung hesitant fuzzy set is constructed.The operation rules of union,intersection,complement,remainder and scalar multiplication of the q-rung hesitant fuzzy sets with weighted probability are given,and their basic properties are studied at the same time.The weighted score function model of the weighted probabilistic q-rung hesitant fuzzy set,the weighted exact function model,and the distance models of two weighted probabilistic q-rung hesitant fuzzy elements are established.Based on the algorithm of weighted probabilistic q-rung hesitant fuzzy sets,two multi-attribute group decision-making models of weighted probabilistic q-rung hesitant fuzzy sets are constructed,and the feasibility of the above two models is verified through practical cases.