Research On Multiple Attribute Group Decision Making Methods Based On Probabilistic Uncertain Linguistic Information

With the rapid development of social economy and science and technology,scientific and effective decision making becomes particularly important.Due to the complexity of practical problems,the difficulty of measuring the decision making indicators,the ambiguity and uncertainty of decision makers' thinking and knowledge limitations,in many decision making problems,people often use uncertain linguistic terms to express evaluation information.Probabilistic uncertain linguistic term sets(PULTSs)are composed of some possible uncertain linguistic term evaluation information associated with the corresponding probabilities,which can well describe the characteristics of attributes and is an important tool to solve multiple attribute group decision making(MAGDM)problems.In this paper,the MAGDM methods under PULTSs are studied.The main results are as follows:? The EDAS method for MAGDM with probabilistic uncertain linguistic information is investigated.In which the EDAS method is extended to the probabilistic uncertain linguistic environment and information entropy is used for deriving weights of each attribute.Furthermore,the applicability and validity of the proposed method are validated by a case study for green supplier selection along with some comparative analysis.? The Bidirectional projection method for MAGDM under probabilistic uncertain linguistic environment is investigated.In this paper,to depict the BP method,the formative vectors of two alternatives are defined,and the weighted vector mold and inner product are improved under PULTSs.Through giving the case of financial product selection and comparative analysis,the results of the research show that the proposed method is applied and effective.? The Taxonomy method for probabilistic uncertain linguistic MAGDM is investigated.The Taxonomy method is appropriate to compare alternatives according to their merits and utility degree.Which is extended to the probabilistic uncertain linguistic environment and the CRITIC method is used for deriving weights of each attribute.Taking supplier selection in medical instrument industries as an example and comparative analysis,the results verify the applicability and validity of the proposed method.? A set of MAGDM methods based on probabilistic uncertain linguistic Dombi Heronian mean(DHM)operator are investigated.First,the Dombi operations for PULTSs are proposed.Since the Heronian mean operator can take into account the interrelationships between attributes,based on the Dombi operations and HM operator,the probabilistic uncertain linguistic DHM operator,the probabilistic uncertain linguistic weighted DHM operator and the probabilistic uncertain linguistic improved weighted DHM operator are proposed.Then based on the Dombi operations and geometric HM operator,the probabilistic uncertain linguistic DGHM operator,the probabilistic uncertain linguistic weighted DGHM operator and the probabilistic uncertain linguistic improved weighted DGHM operator are proposed.Next,the idempotent,monotonic and bounded properties of these operators are proved.After that,the MAGDM methods based on these operators are proposed and applied to the problem of college teachers' performance appraisal.Finally,through parameter sensitivity analysis and comparative analysis,it is proved that these methods are practical and effective.? A set of MAGDM methods based on probabilistic uncertain linguistic Maclaurin symmetric mean(MSM)operator are investigated.First,the Yager operations for PULTSs are proposed;Then the power average(PA)operator and MSM operator are extended to the probabilistic uncertain linguistic environment,and the probabilistic uncertain linguistic Yager PA operator and probabilistic uncertain linguistic Yager MSM operator are proposed.Fusing these two operators together,the probabilistic uncertain linguistic YPMSM operator and corresponding weighted operator are proposed.Based on the dual MSM operator,the probabilistic uncertain linguistic YPDMSM operator and corresponding weighted operator are proposed.Next,the idempotency,boundedness and permutation invariance of these operators are discussed.After that,the MAGDM methods based on these operators are proposed and applied to the real estate project investment decision making problem.Finally,through parameter sensitivity analysis and comparative analysis,the applicability and validity of the proposed methods are proved.The proposed methods in this paper enrich and develop the theory and method of the MAGDM under PULTSs.In addition,the proposed methods also help to successfully select suitable alternatives for other decision problems.