Release Time:2019-03-11  Hits:

Indexed by: Conference Paper

Date of Publication: 2010-10-29

Included Journals: Scopus、EI

Volume: 1

Page Number: 210-214

Abstract: In this paper,we present the concept of (  ,  )-normal intuitionistic fuzzy subgroup. And we show that, in 16 kinds of (  ,  )-normal intuitionistic fuzzy subgrous, the significant ones are the (  ,   )-normal intuitionistic fuzzy subgroup,the (  ,    Vq)- normal intuitionistic fuzzy subgroup and the (     q,   )- normal intuitionistic fuzzy subgroup. We also show that A is a (  ,   )- normal intuitionistic fuzzy subgroup of G if and only if,for any a    (0, 1] , the cut set Aa of A is a 3-valued normal fuzzy subgroup of G,and    is a (  ,    Vq)-normal intuitionistic fuzzy subgroup ( or (     q,   )- normal intuitionistic fuzzy subgroup) of G if and only if,for any a    (0,0.5] (or for any a    (0.5,1]), the cut set Aa of A is a 3-valued normal fuzzy subgroup of G.At last , we generalize the (  ,   )- normal intuitionistic fuzzy subgroup,the (  ,    Vq)-normal intuitionistic fuzzy subgroup and the (     q,   )- normal intuitionistic fuzzy subgroup to normal intuitionistic fuzzy subgroup with thresholds,i.e.,(s, t]- normal intuitionistic fuzzy subgroup. We show that A is a (s, t]- normal intuitionistic fuzzy subgroup of G if and only if,for any a    (s, t] , the cut set Aa of A is a 3-valued normal fuzzy subgroup of G. we also characterize the (s, t]- normal intuitionistic fuzzy subgroup by the neighborhood relations between a fuzzy point xa and an intuitionistic fuzzy set A. ?2010 IEEE.