Research On Aggregation Of Group Decision-Making Problems Based On Linguistic Information

With the rapid growth of knowledge and information,decision-making problems are difficult to cope with all by one's personal experience and intelligence,it has become really important to do group decision-making scientifically and reasonably.Linguistic is an effective mean for human to express their feeling to the objective things.Reasonable aggregation of linguistic information is an important step in Group DecisionMaking (GDM).With regard to Group Decision-Making problems based on linguistic information,in tbis paper,a method is given to solve GDM based on multigranularity interval linguistic using consensus control and feedback mechanism.Firstly,a function is introduced that can transforms interval linguistic information into Basic Linguistic Terms Set(BLTS),the assessment value that transformed is a fuzzy set on BLTS.The multigranularity interval linguistic that experts provide can be transformed into BLTS,then group assessment value can be gotten by aggregating these values.Secondly,consensus degree of group can be computed by regarding the group assessment vaule as an ideal value.If consensus degree of group meets pre-set requirement,the GDM discussion will end.The final result can be obtained.If consensus degree of group does not meet pre-set requirement,a Consensus Support System(CSS) will generate feedback information to experts,then experts can change their assessment,the discussion will go to a new round.This process will not stop untill the consensus degree meets the pre-set requirement or maxmum cycle number is reached.The final result can be gotten using last discussion information and sort and select the alternatives.In this paper,the method is proved feasible and effective by a numerical example.This method is an expansion to GDM based on 2-tuple linguistic.This method can solve the problems mixed single linguistic and interval linguistic when experts can not give assessment values by single linguistic for alternatives and attributes,which is more fit actual situation.A structured consensus control and information feedback mechanisms are given according to GDM mechanism,CSS can generate feedback information by computer and can help experts accurately obtain information.The method improves the GDM's efficiency,as well as,the higher-level decision maker can know additional information of GDM.