Type-2 fuzzy preference relation based on new definition and its application in multi-criteria decision-making
A type-2 fuzzy set(T2FS)is essentially a set generated by expanding the membership degree of a fuzzy set into a type-1 fuzzy set,and it is an effective tool to deal with decision analysis problems in complex and uncertain environment.First,this paper systematically reviews the proposed new mathematical representation definition of type-2 fuzzy sets(T2FSs),and further demonstrates its geometric interpretations under different universe conditions.Second,aiming at the significant advantages of type-2 fuzzy preference relations in dealing with multi-criteria decision-making problems in complex decision-making scenarios,basic research is conducted on type-2 fuzzy preference relations and their applications in multi-criteria decision-making.More specifically,the definition and decision interpretations of type-2 fuzzy preference relations are given based on the new mathematical representation method,and the additive as well as multiplicative consistency conditions of type-2 fuzzy preference relations are defined simultaneously.Then,according to the theory on fuzzy preference relations,the related methods and properties of type-2 fuzzy preference relations are constructed and analyzed to illustrate the scientificity and rationality of type-2 fuzzy preference relations and the proposed new mathematical representation definition of T2FSs.Finally,the effectiveness and feasibility of the multi-criteria decision-making method based on type-2 fuzzy preference relations under the new definition are verified by a case study on tourism product selection and a comparative analysis.
NETL
NSTL
万方数据
