Research On MAGDM Methods Based On Triangular Intuionistic Fuzzy Hybrid Aggregation

As systems becoming more and more complicated in reality, independent attribute decision methods have been unable to satisfy the demand of the people in practical application. So more and more researchers begin to study attribute interacting group decision making problems. In the actual decision making, because of the divergence of the objective things and the complexity of human thinking, pairwise comparison results given by decision makers tend to be fuzziness, In addition, it is hard to give accurate values of each weight, but we can only get the weight of the information through the analysis of the attribute. Therefore, it is necessary and useful to study of generalized ordered weighted average and generalized hybrid weighted average operator which can be used to deal with multi objective group decision making problems with TIFN and partial weight information is unknown. In this dissertation, the research is carried out begin with the analysis of the TIFN pairwise comparison and hybrid operator of the TIFN, a detailed discussion of the properties of hybrid monotone operator are discussed in detail,the weights are determined objectively using a multi-objective optimization model. The main work is as follows:1. The measure methods of information uncertainty and their application status, the application of arithmetic integration or geometric aggregation operators in the fuzzy sets and intuitionistic fuzzy sets are introduced based on the analysis of related literatures of fuzzy sets and intuitionistic fuzzy sets.2. Begin with, the analysis of the definition and algorithm of triangle intuitionistic fuzzy numbers, TIFNs ranking method is dicussed, then, some triangular intuitionistic fuzzy arithmetic aggregation operators and the geometric aggregation operators are summarized, including triangular intuitionistic fuzzy weighted averaging operator, triangular intuitionistic fuzzy ordered weighted averaging operator. Then the generalized ordered weighted triangular intuitionistic fuzzy averaging operator and generalized hybrid weighted triangle intuitionistic fuzzy averaging operator are put forward; at the end, the important properties of them are discussed in detail.3. Considering the limits of decision maker’s knowledge, experience and judgment level, two new methods for the problem of group decision making with incomplete information are proposed in this thesis. The first one is that the comprehensive attribute values are obtained for each scheme using weighted triangular intuitionistic fuzzy averaging operator and generalized ordered weighted triangular intuitionistic fuzzy averaging aggregation, then the multi-attribute group decision-making model is established. The model can be transformed to a single objective optimization model, after solving this model, fuzziness measures of attribute set and expert weights can be obtained,then the average index and rank of the scheme volume are given. In the second method the weighted triangle intuitionistic fuzzy average operator is used to obtain comprehensive values of individual experts, a multi objective programming model is derived to determine the value of the attribute weights. Comprehensive value and the average index of scheme are fimally got assembled all the experts comprehensive value through generalized mixed weighted triangular intuitionistic fuzzy average operator, so schemes can be ranked. These methods make the decision result MAGDM problem more consistent with the reality.4. The application of the proposed method in practical decision is illustrated, compared to the result in literature [57], our method is feasible and effective.