Direct Product of Finite Intuitionistic Fuzzy Normal Subrings over Non-Associative Rings

Abstract

Shal et al. [21], introduced the concept of intuitionistic fuzzy normal subrings over a non-associative ring. In this note, we extend the concept of [21]. Spcefically we prove that, X = A x B and Y = C x D be two LA-subrings of an LA-ring R-1 x R-2. Then X & cap; Y is an LA-subring of an LA-ring R-1 x R-2 if and only if the intuitionistic characteristic function chi Z = (mu(chi Z), gamma(chi Z)) of Z = X & cap; Y is an intuitionistic fuzzy normal LA-subring of an LA-ring R1 x R-2.