Intuitionistic fuzzy interior ideals of semigroups (Q5957219)

Summary: We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup \(S\), and investigate some properties of such ideals. For any homomorphism \(f\) from a semigroup \(S\) to a semigroup \(T\), if \(B=(\mu_B,\gamma_B)\) is an intuitionistic fuzzy interior ideal of \(T\), then the preimage \(f^{-1}(B)=(f^{-1}(\mu_B),f^{-1}(\gamma_B))\) of \(B\) under \(f\) is an intuitionistic fuzzy interior ideal of \(S\).