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 ¿-translation (fuzzy ¿-multiplication) , (normalized, maximal) fuzzy S-extension of fuzzy KUS-subalgebras on KUS-algebra and fuzzy KUS-ideals on KUS-algebra.