Approaches And Applications To Fuzzy Group Decision Making With Additive Trapezoidal Fuzzy Preference Relations Based On Compatibility Measures

Group decision making can improve the efficiency and accuracy of decision making,which is applied to social-economy,eco-environment and management,etc.Currently,there are two issues in research on group decision making:The one thing is how to synthesize decision information,which means that which operator can be used in aggregation.The other is how to obtain the weights of experts.With the increasing uncertainty and complexity of the social environment,the decision making problems become more and more complex.It may lead to that the decision information is used to describe the characteristics of objectives,which is in the form of uncertain variables rather than the real numbers,for example,the trapezoidal fuzzy numbers,linguistic variables.Because trapezoidal fuzzy numbers can simulate the uncertainty and inaccuracy availably,this paper develops approaches to group decision making with additive trapezoidal fuzzy preference relations.The main work of this paper is summarized as follows:In chapter 1,we introduce the background,significance,and the research status of this dissertation.The main research contents and innovations are investigated.Chapter 2 introduces the trapezoidal fuzzy number and its properties,addi-tive and-multiplicative trapezoidal fuzzy preference relation,and two aggregation operators.In chapter 3,a least square method is proposed to obtain the priority weights based on-the consistency of additive trapezoidal fuzzy preference relation.Then a new compatibility measure is developed,and properties are investigated.More-over,based on the criterion of minimized compatibility index,an optimal model is put forward to derive the experts’ weights of group making decision.Finally,the new approach is applied to group decision making with additive trapezoidal fuzzy preference relations.Chapter 4 presents a new compatibility measure via constructing additive trapezoidal expected fuzzy preference relation,and designs an improving algorithm to ensure that the additive trapezoidal fuzzy preference relation and its expected fuzzy preference relation is acceptably compatible.Then,a new group decision mak-ing is developed by using the compatibility measure and the improving algorithm.Finally,an example is verified the availability of the proposed method.In chapter 5,a trapezoid fuzzy power ordered weighted averaging operator is presented and its properties are investigated.Then a new approach on group decision making with additive trapezoidal fuzzy preference relations is put forward on the basis of the trapezoidal fuzzy power ordered weighted averaging operator.In the meanwhile,the new approach is applied to group decision making of information management.In the end,we make a summary of research and gives expectation on future work.