The T_D-disturbing-valued Fuzzy Normal Subgroup

This paper introduces the idempotent disturbing norm T_D to the space of the disturbing- valued fuzzy sets. On the basis of the T_D, we define the T_D-disturbing-valued fuzzy normal subgroup then study the properties and structure characters of it. Consequently, the theory of the algebraic structure on the disturbing-valued fuzzy sets is generalized and developed.