Fuzzy Magnified Translations of QS-algebras

This book consists of three chapters. In chapter one, we introduce definitions of QS-algebras and Q-algebras and some properties . We also introduce definitions of fuzzy algebra, which we need in this work. In chapter two, we show a concepts (fuzzy QS-ideal and fuzzy QS-subalgebra), and also we prove into homomorphic image and pre-image of a fuzzy QS-ideal is also a fuzzyQS-ideal . We define the notion of (ß,a)-magnified translation of fuzzyQS-subalgebra and investigate in some of their properties, we introduce the concepts (ß,a)-magnified translation fuzzy QS-ideal, and also we prove µ_((ß,a))^C is a fuzzy QS-ideal if and only if U_((ß,a) ) (µ,t) .Last, we defined (generalized fuzzy QS-subalgebra, big generalized fuzzy QS-subalgebra ), and we study some proportions of it is.and we defined (generalized fuzzy QS-ideal , big generalized fuzzy QS-ideal)and we reach toany big generalized fuzzy QS-ideal , big generalized fuzzy QS-ideal)and we reach to any big generalized fuzzy QS-ideal of a QS-algebra X must be a generalized fuzzy QS-ideal of X if ß =1 , ¿=0 . von Hameed, Areej Tawfeeq und Obaid, Akhlas Kadom