Probabilistic Hesitation Fuzzy Linguistic Preference Relation And Its Application In Group Decision Making

With the continuous research and exploration of fuzzy linguistic by scholars,fuzzy linguistic sets are also applied to all aspects of life,such as supply chain management,public opinion prediction,medical diagnosis and so on.In this dissertation,we mainly study the preference relation of linguistic term sets based on probabilistic hesitation and construct a group consensus model on this basis.In addition,we also study the fusion relation and apply it to group decision making.The main contents are as follows:(1)On the basis of hesitating fuzzy linguistic,this dissertation constructs a new distance measure,similarity measure and consensus model based on probabilistic hesitating fuzzy linguistic,constructs a new group consensus level,and constructs a new set operator,which lays a good foundation for the decision-making process in the following paper.(2)Applying the distance measure formula of probabilistic hesitation fuzzy linguistic to group decision making problems,we study the construction of group consensus model and establish a decision process.Finally,the sorting scheme is obtained through the actual case and its reliability is analyzed.(3)The probability hesitating fuzzy linguistic set operator is constructed,on this basis,the decision process is established,and the advantages of the decision method are verified by an example.