Optimal Granulation Selection Method Based on Multi-granulation Rough Intuitionistic Hesitant Fuzzy Sets

Abstract

In order to obtain the optimal granulations after reduction from the intuitionistic hesitant fuzzy decision information system with multiple attributes,this paper deals with the uncertain information in this system from the perspective of multi-gra-nulation rough sets,and studies optimal granulation selection method based on multi-granulation rough intuitionistic hesitant fuzzy sets.Firstly,on the basis of intuitionistic hesitant fuzzy sets,attribute information is introduced,and the concept of rough intui-tionistic hesitant fuzzy sets is given.Then four upper and lower approximation models of optimistic and pessimistic multi-granulation rough intuitionistic hesitant fuzzy sets are proposed,and the related properties are discussed.Secondly,mainly based on the lower approximation of the pessimistic multi-granulation rough intuitionistic hesitant fuzzy set,this paper defines the granu-lation quality similarity degree and internal/external granulation importance degree,and the related algorithm of optimal granulation selection is designed.Finally,through the wine evaluation case,optimal granularities are calculated based on the four cases of optimistic and pessimistic multi-granulation rough intuitionistic hesitant fuzzy set's upper and lower approximation,then analyzes results.It is verified that algorithms are effective for the reduction of intuitionistic hesitant fuzzy decision information system.

Keywords

• intuitionistic hesitant fuzzy sets|multi-granulation|rough sets|granulation importance degree|optimal granulation selection