Fuzzy Ideals of KUS-algebras

In this book we introduce a new notion of algebras called KUS-algebras. The notions of KUS-algebras KUS-subalgebras KUS-ideals and homomorphism of KUS-algebras are introduced. We introduce the notion of fuzzy KUS-ideal of KUS-algebra several theorems properties are stated and proved. The notion of interval-valued fuzzy KUS-ideals on KUS-algebras is introduced. Several theorems of i-v fuzzy KUS-ideal are stated and proved. We introduce the notion of anti-fuzzy KUS-ideals of KUS-algebras and we will introduce a new notion called cubic KUS-ideal of KUS-algebras and study several properties of its. We discuss fuzzy α-translation (fuzzy β-multiplication) (normalized maximal) fuzzy S-extension of fuzzy KUS-subalgebras on KUS-algebra and fuzzy KUS-ideals on KUS-algebra.