Research On Multiple Attribute Decision Making Methods Based On Mean Type Aggregation Operators

There are a lot of multiple attribute decision making problems in many management practices,such as water resources management,project management,and supply chain management.One of the keys to solve these problems is how to determine the aggregation rules of attribute values.Real mean type aggregation operator is an important implementation form of aggregation rule.Some operators are important extensions of real mean type aggregation operator,including linguistic mean type aggregation operator,intuitionistic fuzzy mean type aggregation operator and uncertain linguistic mean type aggregation operator et al.However,these existing operators and their extension forms lack systematicness in structure and theoretical methods in construction,which directly affects the theoretical and practical value of multiple attribute decision making methods based on mean type aggregation operators.In this sense,the thesis systematically demonstrates the structure and construction theorems of real mean type aggregation operator,as well as constructs some new mean type aggregation operators with excellent properties.Then,this study,based on mean type aggregation operators,comes up with nine kinds of multiple attribute decision making methods(including two kinds of multiple attribute group decision making methods)and a multiple attribute group decision making method with linguistic preference relations.The main contents are as follows:(1)Multiple attribute decision making methods based on real mean type aggregation operators.Firstly,nine kinds of structures of real mean type aggregation operators are given,such as generator structure,quasi composite structure and generalized series transformation structure.Secondly,on these bases,some representative construction theorems of real mean type aggregation operators are given,such as generator theorem,composite structure mean construction theorem,quasi composite structure mean construction theorem and its inverse theorems,generalized series transformation mean construction theorem and admissible structure mean construction theorem.Then,by using these construction theorems,new aggregation operators such as hybrid power mean type aggregation operators and generalized weighted Bonferroni mean type aggregation operators are given,and the properties of these new aggregation operators are studied.Finally,the multiple attribute decision making method based on weighted hybrid power mean aggregation operator,multiple attribute group decision making method based on weighted hybrid power mean aggregation operator and weighted arithmetic averaging aggregation operator,multiple attribute decision making method based on weighted generalized hybrid power mean aggregation operator and multiple attribute group decision making method based on weighted generalized hybrid power mean aggregation operator and weighted geometric averaging aggregation operator are given,and some examples are analyzed.(2)Multiple attribute decision making methods based on linguistic mean type aggregation operators.Firstly,in the linguistic environment,the composite structure and the composite structure mean construction theorem of the linguistic mean type aggregation operator are given.Secondly,according to the construction theorem of linguistic composite structure,the linguistic hybrid power mean aggregation operator,the linguistic weighted hybrid power mean aggregation operator,the linguistic generalized hybrid power mean aggregation operator and the linguistic weighted generalized hybrid power mean aggregation operator are constructed.Finally,the multiple attribute decision making method based on the linguistic weighted hybrid power mean aggregation operator and the multiple attribute decision making method based on the linguistic weighted generalized hybrid power mean aggregation operator are given,and the examples are analyzed.(3)Multiple attribute decision making methods based on intuitionistic fuzzy mean type aggregation operators.In the intuitionistic fuzzy environment,the intuitionistic fuzzy generalized weighted Bonferroni mean aggregation operators are obtained,and their properties and special cases are discussed.Based on these,multiple attribute decision making methods based on intuitionistic fuzzy generalized weighted Bonferroni mean type aggregation operators are proposed,and finally the examples are analyzed.(4)Multiple attribute decision making methods based on interval-valued intuitionistic fuzzy mean type aggregation operators.In the interval-valued intuitionistic fuzzy environment,the interval-valued intuitionistic fuzzy generalized weighted Bonferroni mean type aggregation operators are obtained,and their properties and special cases are discussed.Based on these,multiple attribute decision making methods based on interval-valued intuitionistic fuzzy generalized weighted Bonferroni mean type aggregation operators are proposed,and finally the examples are analyzed.(5)Multiple attribute decision making methods based on uncertain linguistic mean type aggregation operators.In uncertain linguistic environment,uncertain linguistic hybrid power mean aggregation operator,uncertain linguistic weighted hybrid power mean aggregation operator,uncertain linguistic generalized hybrid power mean aggregation operator and uncertain linguistic weighted generalized hybrid power mean aggregation operator are given.Based on these,multiple attribute decision making method based on uncertain linguistic weighted hybrid power mean aggregation operator and multiple attribute decision making method based on uncertain linguistic weighted generalized hybrid power mean aggregation operator are constructed,and finally the examples are analyzed.(6)Multiple attribute decision making method based on mean type aggregation operator with linguistic preference relations.Firstly,on the basis of the simplified definitions of additive consistency and additive consistency index,a multiple attribute decision making method based on an additive consistency of linguistic preference relation is obtained by using goal programming to improve the case of inconsistent linguistic preference relation.Secondly,on the basis of the definition of consensus measure of linguistic preference relations,a goal programming model with acceptable additive consistency,acceptable group consensus and maximum retention of original decision information is constructed to improve the consistency and consensus of multiple linguistic preference relations at the same time.Finally,a multiple attribute group decision making method based on mean type aggregation operator with linguistic preference relations is proposed,and the examples are analyzed.