Sifat-Sifat Subgrup Fuzzy Intuitionistik atas Norm (t-Norm dan s-Norm)

Abstract

Fuzzy subgroups can be generalized into intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm. Furthermore, intuitionistic fuzzy subgroups and fuzzy subgroups over t -norm can be generalized into intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm). The property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism were dis-cussed by Rasuli [8] . However, by giving counterexamples, it can be shown that both properties are not true. In this article, we reinvestigate the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism. We use the literature study method in this research. The results show that the property of product under norms ( t -norm and s -norm) of two intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) and the property of image of intuitionistic fuzzy subgroups with respect to norms ( t -norm and s -norm) under group homomorphism in [8] can be valid if t -norm and s -norm are continuous.