| The Multi-indicators Comprehensive Evaluation affects people's daily life widely,ranging from individual clothing,food,shelter,and travel to national strategic choices.Making any decision is accompanied by decision-making.The Multi-indicators Comprehensive Evaluation method under the precise value environment has been unable to adapt to the rapid development of society and economy.The Multi-indicators Comprehensive Evaluation method of fuzzy evaluation information is gradually moving towards the center of the social stage.It is more adapted to the complex comprehensive evaluation process and can be scientific by effectively describing the evaluation process,the evaluator can obtain the most appropriate target plan.Set as the basis,expand related concepts and methods,and provide new ideas for solving more complex Multi-indicators Comprehensive Evaluation problems.The main contents are as follows:(1)The concepts of fuzzy sets related to intuitionistic fuzzy sets and hesitant fuzzy sets were systematically clarified.Aiming at the shortcomings of the existing Multiindicators Comprehensive Evaluation methods under the complex fuzzy evaluation information,the intuitionistic fuzzy environment and hesitant fuzzy environment were proposed respectively Multi-indicators Comprehensive Evaluation algorithm model.(2)Based on the hesitant fuzzy sets,Pythagorean fuzzy sets,and interval-valued fuzzy sets,the current comprehensive evaluation method ignores the problem of information loss in the evaluation process,and combines the idea of probability with the interval-valued hesitant Pythagorean fuzzy sets to define the new probability intervalvalued hesitant Pythagorean fuzzy sets.The new fuzzy sets have obvious advantages in the face of increasingly complex comprehensive evaluation problems.It can not only solve the problem of unavoidable information loss in the evaluation process,but also be closer to the evaluation information in uncertain environments.(3)The trapezoidal intuitionistic fuzzy sets continually disperse the universe of discourse,and more delicately characterizes the process of uncertain comprehensive evaluation.The fuzzy number comparison method is also an important link in the comprehensive evaluation process.The existing trapezoidal intuitionistic fuzzy number ranking method may cause the phenomenon that it is difficult to sort the fuzzy numbers in some cases.Based on this,this paper defines the geometric centroid of the image in the membership function and non-membership function of trapezoidal intuitionistic fuzzy numbers,combined with the mean value and fuzziness of trapezoidal intuitionistic fuzzy numbers,and improved ranking method of trapezoidal intuitionistic fuzzy numbers is proposed.(4)There is always a certain degree of correlation between the input indicators in the evaluation process,redundant or complementary,and not strictly independent of each other.Bonferroni mean and Choquet integral are effective tools to solve such problems,and they have been widely used.Choquet integrals and fuzzy measures can convert the interactive relationship between evaluation information into weight information of fuzzy numbers to be aggregated,avoiding the subjectivity of the evaluator in determining the input index weight information,making the evaluation method more feasible and effective.Synthesizing the above advantages,a Multi-indicators Group Comprehensive Evaluation problem in which the evaluation information is a trapezoidal intuitionistic fuzzy number and each indicator is not strictly independent of each other.Combined with Bonferroni mean and Choquet integral,a trapezium intuitionistic fuzzy Choquet Bonferroni norm weighted harmonic mean(Tr IFCBNWHM)operator is proposed,and discuss several excellent properties of operators.Next,an improved method for sorting intuitionistic fuzzy numbers is proposed,and a Multi-indicators Group Comprehensive Evaluation method based on the improved ranking Choquet Bonferroni operator is proposed.The analysis of a practical problem of global green supplier selection validates the TRIFCBNWHM operator and improved trapezoidal intuitionistic fuzzy validity and feasibility of the numerical ranking method.(5)Evaluation information aggregation mainly depends on operation rules.Hamacher operation is a generalization of algebraic operation and Einstein operation,and its application is more flexible.In the current comprehensive evaluation,the loss of some evaluation information is ignored,so the evaluation information is based on the probabilistic interval-valued hesitant Pythagorean fuzzy environment.Considering that Choquet integral can effectively describe the correlation between input indicators,combined with Hamacher's algorithm,the probabilistic interval-valued hesitant Pythagorean fuzzy Hamacher Choquet integral geometric mean(PIVHPFHCIG)operator is proposed.Then,the excellent properties of the operator are discussed,and the probabilistic interval-valued hesitant Pythagorean fuzzy Hamacher's algorithm are defined,which more flexible characterization of the importance and relevance of each indicator.Finally,the selection of the best private partner verifies the effectiveness and feasibility of the Multi-indicators Comprehensive Evaluation method in the context of probability interval-valued hesitant Pythagorean fuzzy sets,and compared with other Multi-indicators Comprehensive Evaluation methods,which expands new ideas for solving social and economic problems.The research involved in this paper provides a new way to innovate the modern Multi-indicators Comprehensive Evaluation method,depicts the comprehensive evaluation information in complex uncertain environment more delicately,and provides the basic technical compliance for the Multi-indicators Comprehensive Evaluation problems in many fields,such as medical diagnosis,supply chain management,venture capital decision,poverty exit assessment survey and regional industry selection. |
PDF Full Text Request