Study On Uncertainty Decision Making Problem Based On Consistency

In the process of decision making,decision maker generally need to compare a set of decision alternatives with respect to a single criterion,and construct preference relations.Simultaneously,as the consistency property of preference relations has a direct impact on the ranking of the alternatives in the final decision,so the lack of consistency in preference relations may lead to inconsistent or unreasonable conclusions.Since irrational decision may be made if the level of consistency is unacceptable,the research on the consistency of preference relations in decision making is of great importance.With respect to fuzzy preference relation,intuitionistic preference relation,hesitant fuzzy preference relation,linguistic preference relation and hesitant fuzzy linguistic preference relations,we propose multiplicative consistency measure method accordingly,and develop methods to decision making with preference relations based on the acceptable consistency.Firstly,this paper introduces the background and current of decision making problems,uncertain information and the consistency of uncertain preference relations.Secondly,based on the definition of dual hesitant fuzzy sets,we give the definition of dual hesitant fuzzy preference relation.Especially when discussing intuitionistic preference relations,we propose a definition of normalized intuitionistic preference relation and give a novel multiplicative consistency measure method for intuitionistic preference relations.Thirdly,after analyzing the characteristics of various preference relations,we come up with a partition method to convert the discussion of the dual hesitant fuzzy preference relation into the intuitionistic preference relations or convert the discussion of the dual hesitant fuzzy preference relation into the intuitionistic preference relations.Fourthly,for decision making under complementary fuzzy information,to find a simple way to test the consistency of the complementary fuzzy preference relations,its educed matrix is introduced,by which a complementary fuzzy preference relations can be transformed into a reciprocal judgment preference relations.Furthermore,we give numerical examples to illustrate the application of the proposed methods and give the ranking of the alternatives for preference relation with acceptable consistency.Finally,conclusions and remarks about the current work and the further research are given.