| In this Diplomarbeit, we apply the theories of fuzzy set to BCI-algebras, introduce the concepts of generalized fuzzy subalgebra,generalized fuzzy ideal,generalized fuzzy closed ideal,generalized fuzzy implicative ideal,generalized fuzzy commutative ideal and generalized fuzzy p-ideal on BCI-algebra and discuss some properties of them. This Diplomarbeit enriches and develops the theories of fuzzy BCI-algebras and fuzzy algebra system which have been existed. The main results of this Diplomarbeit are listed as follows:1. Introducing the concepts of generalized fuzzy subalgebra,generalized fuzzy ideal and generalized fuzzy closed ideal on BCI-algebra; discussing the relations between generalized fuzzy subalgebra on BCI-algebra and generalized fuzzy(closed) ideal on BCI-algebra; giving the necessary and sufficient conditions about that fuzzy subset on BCI-algebra is generalized fuzzy(closed) ideal on it; proving that the intersection and direct product of generalized fuzzy ideals on BCI-algebra is still a generalized fuzzy ideal of it.2. Giving the definitions of generalized fuzzy implicative ideal,generalized fuzzy commutative ideal and generalized fuzzy p-ideal on BCI-algebra and discussing some properties of them.
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