Fuzzy Multiple Attribute Decision Making Based On Ideal Solution

Multi-attribute decision making theory is an important branch of modern decision science,whose theories and methods have been widely used in many fields such as society,economy,management and military affairs.With the development of society and economy,the complexity,uncertainty and fuzziness of human thinking are increasing,for many situations,the attribute value and attribute weight value of the decision alternative are given in the form of fuzzy predicates,thus the fuzzy multi-attribute decision making problem is generated.The study of fuzzy multiple attribute decision making theory and method is of great significance and application value.Fuzzy multi-attribute decision making method has a very good application prospect in the fields of economy,management science and so on.In this paper,the ideal solution method in multiple attribute decision making is applied to the fuzzy multiple attribute decision making problem,and the fuzzy multiple attribute decision making theory based on ideal solution is studied,and the corresponding decision method is established.The study in this paper mainly focuses the following two aspects:1.Since the weighted arithmetic average operator has defects,this paper combines with the thought of the expectation and variance in probability theory,which puts forward new evaluation function and establishes a new decision model.Finally,the validity of the model is proved by an example.2.The decision problem with interval valued values and interval valued intuitionistic fuzzy values is studied.In this paper,we define the distance of two interval intuitionistic fuzzy sets,and then establish the multiple attribute decision making model of ideal solutions of interval valued intuitionistic fuzzy values.The advantages of the model are illustrated by an example.