The TL-Ideal On Bci-Algebra

In this Diplomarbeit, applying the TL theory of fuzzy set to BCI-algebra, we introduce the concept of TL-subalegbra,TL-ideal,TL- closed ideal,TL-p-ideal,TL-commutative ideal,TL- implicative ideal,TL-positive implicative ideal,TL- associative ideal,TL-Quasi-associative ideal,TL-H-ideal and TL- a -ideal and discuss some properties of them. This Diplomarbeit enriches and develops the theory of fuzzy BCI-algebra which has been existed. The main results of this Diplomarbeit are listed as follows:1. Introducing the concepts of TL-subalegbra,TL-ideal and TL-closed ideal on BCI-algebra; discussing the relations between TL-subalegbra on BCI-algebra and TL-(closed) ideal on BCI-algebra ; giving the necessary and sufficient condition about that L-subset on BCI-algebra is TL-(closed)ideal on it;proving that the intersection and direct product of TL-ideals on BCI-algebra is still a TL-ideal of it.2. Giving the definitions of TL-p-ideal,TL-commutative ideal,TL- implicative ideal,TL-positive implicative ideal,TL- associative ideal,TL-Quasi-associative ideal,TL -H-ideal,TL- a -ideal and discussing some elementary properties of them.