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In this book, we provided some new concepts that are based on the concepts of fuzzy translation and fuzzy multiplication as concerned with the BCK-algebra. These concepts are the fuzzy translation and fuzzy multiplication as concerned with the KUS-algebra,Q-algebra and CI-algebra. Then link between fuzzy translation and fuzzy multiplication for per type of algebra, which we have addressed. Also, we proved some properties and we have taken some examples to illustrate certain cases, such as reverse some of the theorems and others. We also introduced CI-ideal and fuzzy CI-ideal as new concepts and studied some of the properties achieved.