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- W2053149797 abstract "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 (∈, ∈ ∨q)- 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 A a of A is a 3-valued normal fuzzy subgroup of G, and A is a (∈, ∈ ∨q)-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 A a of A is a 3-valued normal fuzzy subgroup of G. At last, we generalize the (∈, ∈)- normal intuitionistic fuzzy subgroup, the (∈, ∈ ∨q)-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 A a 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 x a and an intuitionistic fuzzy set A." @default.
- W2053149797 created "2016-06-24" @default.
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- W2053149797 date "2010-10-01" @default.
- W2053149797 modified "2023-09-25" @default.
- W2053149797 title "The normal intuitionistic fuzzy subgroups" @default.
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- W2053149797 doi "https://doi.org/10.1109/icicisys.2010.5658573" @default.
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