Product and Extension Operations of the Intuitionistic Fuzzy Normal Subgroups

摘要

In this paper, on the basis of the concept of the intuitionistic fuzzy set introduced by K. Atanassov, we first give the definition of the product and extension principle, study the structures and characterizations of the product for intuitionistic fuzzy normal subgroups. Second, on the conditions that homomorphism and isomorphism between two classical groups, applying the extension principle, we will discuss the extension products of general intuitionistic fuzzy sets and the extension operation of the intuitionistic fuzzy normal subgroups.