Fuzzy Group Decision Making Models And Their Applications Based On Compatibility Of Multiplicative Trapezoidal Fuzzy Preference Relations

Due to the complexity and uncertainty of objective things and the fuzziness of human thinking,it is difficult for people to explicitly give the preference information.Therefore,the application of fuzzy group decision making(GDM)is more important in daily life.It has been widely applied to economy,management and military and so on.The approach of GDM with preference relations can be applied to the complicated and uncertain decision making environment.Thus,many scholars are focused on it.The dissertation studies the theories and methods for multiplicative trapezoidal fuzzy preference relations.The main work of this dissertation is summarized as follows:Chapter 1 describes the research significant of this dissertation,analyses the current research situations,and proposes the main research problems of this paper.Chapter 2 introduces the trapezoidal fuzzy numbers and its operational laws,ranking method of trapezoidal fuzzy number,the concept of multiplicative trape-zoidal fuzzy preference relation and two information aggregation operators.In Chapter 3,the logarithm least square model to derive priority weights of multiplicative trapezoidal fuzzy preference relation is presented.Then,based on con-structing the expected fuzzy preference relation of multiplicative trapezoidal fuzzy preference relation,a novel compatibility measure of multiplicative trapezoidal fuzzy preference relations is proposed.We discuss some properties of the compatibility measure and design a compatibility improving algorithm.Meanwhile,we construct a weights-driven model with multiplicative trapezoidal fuzzy preference relation in GDM and propose a fuzzy group decision making approach of multiplicative trape-zoidal fuzzy preference relation.In the end,we make comparative analysis between our proposed method and existing methods of multiplicative preference relation and interval multiplicative preference relation.In Chapter 4,in line with the continuous ordered weighted geometric averaging(COWGA)operator,we construct a new expected multiplicative preference relation and define a new logarithm compatibility measure of multiplicative trapezoidal fuzzy preference relations,and the properties of the logarithm compatibility measure are discussed.Meanwhile,a new compatibility improving algorithm and a weights-driven model with multiplicative trapezoidal fuzzy preference relations are presented.Moreover,a fuzzy group decision making approach of multiplicative trapezoidal fuzzy preference relations is proposed,and we make comparative analysis between our proposed method and existing methods.In Chapter 5,based on the power ordered weighted geometric averaging(POW-GA)operator and the trapezoidal fuzzy preference relation,we propose the trape-zoidal fuzzy power ordered weighted geometric averaging(TFPOWGA)operator,which is applied to GDM problems.Based on the TFPOWGA operator,an ap-proach for fuzzy group decision making with multiplicative trapezoidal fuzzy pref-erence relations is presented.In.the end,the work of this dissertation is summarized and we look to the vista of future work.