Research On Multi-attribute Decision-making Methods Based On Triangular Intuitionistic Fuzzy Numbers And Intuitionistic Trapezoidal Fuzzy Numbers

Decision-making plays an important role in people's daily life.In the ever-changing environment,how to make decisions quickly and accurately has become an important issue.Multi-attribute(multi-objectivc)decision-making is an impor-tant part of decision-making.As people face more and more complex problems,fuzzy sets are not enough to describe the uncertainty of the problem,So some scholars put forward it.Intuitionistic fuzzy sets have more advantages in describ-ing the complexity,fuzziness and uncertainty of things.This paper is based on nulti-attribute decision-making and multi-attribute group decision-making of exist-ing fuzzy sets,intuitionistic fuzzy sets and interval intuitionistic fuzzy sets.Among them triangular intuitionistic fuzzy numbers and intuitionistic trapezoidal fuzzy numbers are special intuitionistic fuzzy numbers.Up to now,There have been some basic research on multi-attribute decision making with intuitionistic fuzzy numbers,but not enough in-depth.The main research content of this paper is to discuss some methods of multi-attribute decision making based on triangular intuitionistic fuzzy numbers and intuitionistic trapezoidal fuzzy numbers.The specific contents are as follows:Chapter 1 In this chapter:the definitions of intuitionistic fuzzy sets,triangular intuitionistic fuzzy numbers and intuitionistic trapezoidal fuzzy numbers are given at first.secondly,the distance,scoring function of intuitionistic trapezoidal fuzzy numbers and the normalized processing formulas of intuitionistic trapezoidal fuzzy decision matrix arc given.finally,the relevant definitions of intuitionistic trapezoidal fuzzy numbers are analogized:the operation rules,distance formulas,aggregators and so on axe formulas for normalization of decision matrix,etc.Chapter 2 This chapter first introduces the basic principles of TOPSIS method and projection model based on triangular intuitionistic fuzzy numbers,then analyses the limitations of the two methods,then combines the two methods,puts forward a new multi-attribute decision-making method about triangular intuition-istic fuzzy numbers,and finally verifies the validity and rationality of the method through a specific example in life.Chapter 3 In this chapter,a new possibility formula of triangular intu-itionistic fuzzy numbers is proposed on the basis of the existing probability formula.Then the corresponding induced triangular intuitionistic fuzzy ordered aggregator and induced triangular intuitionistic fuzzy mixed operator are defined.Then the induced aggregator is combined with the possibility formula.A new possibility-based number of triangular intuitionistic fuzzy numbers is proposed.Attribute decision-making method.Finally,an example is given to verify the effectiveness and feasibility of the decision-making method.Chapter 4 In this chapter,a new multi-attribute decision-making method of intuitionistic trapezoidal fuzzy numbers is proposed by introducing the total ac-curacy function and the expected level vector.Finally,the validity and feasibility of the decision-making method are verified by a concrete example.