The normal intuitionistic fuzzy subgroups
In this paper,we present the concept of (α,β)-normal intuitionistic fuzzy subgroup. And we show that, in 16 kinds of (α,β)-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 A is a (∈,∈ Vg)normal intuitionistic fuzzy subgroup ( or (∈∧q,∈)- normal intuitionistic fuzzy subgroup) of G if and only if,for any a 6 (0,0.5) (or for any a ∈ (0.5,1), the cut set Aα 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.
algebra fuzzy points cut set intuitionistic fuzzy sets normal intuitionistic fuzzy subgroups
Bin Yu Xue-Hai Yuan
School of Science,Dalian Ocean University, Dalian 116023, China Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology, Dalian
国际会议
厦门
英文
210-214
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）