Research On Fuzzy Entropy And Fuzzy Aggregation Operators Theory And Its Applications

Multi-criterion decision-making(MCDM),as one of the indispensable research methods of intelligent decision-making,can improve the scientific validity of decision-making results.Fuzzy set theory is an essential tool to solve the MCDM problem,which makes the fusion of uncertain information more suitable.Based on the existing theory of fuzzy sets and aggregation operators,this thesis expands the fuzzy environment or incorporates different operationals to make it more effective in decision-making information fusion.The main content includes the following parts:1.For the trapezoidal fuzzy number intuitionistic fuzzy set and its entropy,through analysis of its limitations in problem solving,the trapezoidal fuzzy number Pythagorean fuzzy entropy is put forward,and the superiority of this model is verified by an example,which solves the problem that the attribute weight can not be determined in this fuzzy environment.2.The confidence levels can reduce the influence of the unreasonable evaluation value was given by the decision maker on the decision-making results.The confidence q-rung orthopair fuzzy aggregation operators based on the Archimedean t-norm and t-conorm is proposed,in which decrease the deviation caused by the subjective perspective of the decision maker in the MCDM problems.Moreover,the properties and four specific forms associated with confidence aggregation operators are also investigated.A novel MCDM approach is introduced by using the proposed operators,and the effectiveness of the algorithm is verified through the comparative analysis of tablet PC purchase example.3.By analyzing the dual hesitant fuzzy interaction operational in the information fusion with natural language variables,because it can not solve the limitation of the membership degree or the non-membership value is zero,the q-rung dual hesitant fuzzy interaction operational is proposed,and applied it to the partitioned Bonferroni mean(BM)operator and the partitioned geometric Bonferroni mean operator to establish a new operator model.Moreover,the analytical properties associated with aggregation operators are also investigated.A MCDM method based on the q-rung dual hesitant fuzzy interaction BM and partitioned BM operator model is proposed.Finally,an example is illustrated to demonstrate the superiority and feasibility by comparing with other existing MCDM methods.