Title :
TL-Subalgebras and TL-Ideals of Sub-BCI-Algebras
Author :
Sun, Shaoquan ; Guozhu, Liu
Author_Institution :
Coll. of Math. & Phys., Qingdao Univ. of Sci. & Technol., Qingdao, China
Abstract :
In this paper, the concepts of TL-sub-algebras and TL-ideals of sub-BCI-algebras are introduced, a necessary and sufficient condition for a L-subset of sub-BCI-algebra to be a L-sub-algebra (ideal) is stated, and images and inverse-images of L-sub-algebra under sub-BCI-algebra homomorphism are studied. Where T is an arbitrary infinitely v-distributive t-norm on a given complete Brouwerian lattice L.
Keywords :
algebra; TL-ideals; TL-subalgebras; complete Brouwerian lattice; inverse-images; sub-BCI-algebra homomorphism; Algebra; Computer science; Educational institutions; Fuzzy sets; Lattices; Mathematics; Physics; Sufficient conditions; Sun; Sub-BCI-algebra; TL-ideal; TL-sub-algebra;
Conference_Titel :
Computer Science and Engineering, 2009. WCSE '09. Second International Workshop on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-3881-5
DOI :
10.1109/WCSE.2009.758
