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The book is divided into seven chapters, we introduced the notions of medial KUS-algebras, medial KUS-sub-algebras, medial KUS-ideals, homomorphism of medial KUS-algebras and we investigated some relations among them and discuss some properties of the G-part of medial US-algebras and we introduce the notion of a fuzzy (KUS-ideal)KUS-sub-algebra with thresholds, and obtain its characterizations. We investigate relations between them.We discuss fuzzy -translation, fuzzy beta-multiplication, fuzzy (beta, )-magnified translations and of fuzzy KUS-algebras.we study the notion of intuitionistic fuzzy magnified -translation and some of its properties in a semigroup has been introduced.Later, we consider the Intuitionistic fuzzification of the concept KUS-sub-algebra and the image of KUS-ideal in KUS-algebra, and investigate some of these properties.