Research On Several Kinds Of Decision Methods With Fuzzy Information

In real life,with the increase of the complexity of decision problems,decision-makers often evaluate multiple attributes and different aspects of the attributes of each alternative plan,and use the corresponding decision method to get the optimal plan,so as to make the decision result more reliable.Since Zadeh first put forward fuzzy theory in 1965,fuzzy theory has been widely applied in various fields of contemporary society.Subsequently,many scholars have conducted in-depth research on fuzzy sets and proposed various extension forms of fuzzy sets,such as hesitation fuzzy sets?intuitive fuzzy sets?intellectual sets and multipolar fuzzy sets,which provide more ideas for solving practical problems.On this basis,this thesis will study the multi-attribute decision making method with fuzzy information.The research contents and structure of this thesis are as follows:In chapter 1,this chapter introduces the research background and the research status at home and abroad,and briefly introduces the fuzzy set theory,which lays a good foundation for the following content of this dissertation.In chapter 2,it based on the theory of hesitating fuzzy sets and rank preference,the method of representing the rank preference of hesitating fuzzy is given,and the projection method and bidirectional projection method of hesitating fuzzy rank preference are put forward.In chapter 3,the concept of Pythagoras uncertainty level variable is proposed based on languag eterminology set,and the improved bidirectional projection method is obtained,and the grey relational bidirectional projection method based on Pythagoras uncertainty level number is proposed.At the same time,numerical examples are given to illustrate the practicability and effectiveness of the proposed method.In chapter 4,this chapter based on the concept of m-pole fuzzy intelligence set,this chapter proposes the mPFNS-ELECTRE ? decision method and discusses the shortest path problem of graph theory.In chapter 5,the last chapter mainly introduces the conclusion and prospect of this thesis.