Research On Multiple Attribute Group Decision Making Methods In The Intuitionistic Fuzzy Information Environment

The enlargement of the actual decision making problem in present society and the complexity of the decision making environment pose new challenges to the MAGDM problem.Adopting reasonable decision making information and choosing appropriate decision making methods to obtain effective decision making results have become a research focus in the decision making field.In this thesis,we mainly study the intuitionistic fuzzy multiple attribute group decision making problem in the aspects of decision making information and decision making methods.In terms of the decision making information,two kinds of new linguistic variables for expressing decision making information are given.We extend traditional fuzzy linguistic variables and propose the concept of the intuitionistic fuzzy interval language variable(IFILV).Based on the intuitionistic triangular fuzzy linguistic variable(ITFLV)and Pythagorean fuzzy set(PFS),we propose the Pythagorean triangular fuzzy linguistic variable(PTFLV).IFILV and PTFLV provide effective linguistic variables for the actual fuzzy MAGDM problem and enrich the expression of decision making information.In addition,we study and define their operational rules and comparison modes.In terms of the decision making methods,this thesis mainly focuses on the ranking methods based on aggregation operators.The attribute weights and order inducing variable are studied firstly.Based on the decision making information of the attribute itself,we propose the methods of determining weight vectors and order inducing variable objectively.Combined with the subjective attribute weights of the decision makers,we obtain the combined attribute weights.On this basis,the intuitionistic fuzzy combined ordered weighted averaging(IFCOWA)operator is proposed.Then,we propose the new intuitionistic fuzzy language hybrid aggregation(NIFLHA)operator based on IFILV.Besides,we organically combine the PTFLV with the Bonferroni mean operator and propose the Pythagorean triangular fuzzy linguistic Bonferroni mean(PTFLBM)operator and its weighted form(WPTFLBM).Then,their basic properties are studied and proved based on the operational rules of fuzzy variable.Finally,the decision making methods based on the IFCOWA operator,NIFLHA operator and PTFLBM operator are given.Finally,we apply the decision making methods based on the above operators to the actual case of MAGDM to verify their practicality and effectiveness.