Title :
Vague BCK-algebra
Author_Institution :
Key Lab. of Numerical Simulation of Sichuan Province, Neijiang Normal Univ., Neijiang, China
Abstract :
In this note, we apply the concept of vague set to BCK-algebras and define the notions of vague subalgebra, vague left reduced ideal, vague ideal and vague implicative ideal. And discuss their properties and relations among them. How to deal with the homomorphic images and inverse images of vague ideals and vague implicative ideals are studied. The intersection of vague ideals and vague implicative ideals are investigated separately.
Keywords :
algebra; set theory; homomorphic image; inverse image; vague BCK-algebra; vague implicative ideal; vague left reduced ideal; vague set; vague subalgebra; Artificial neural networks; BCK-algebra; vague ideal; vague implicative ideal; vague left reduced ideal; vague set; vague subalgebra;
Conference_Titel :
Advanced Computer Theory and Engineering (ICACTE), 2010 3rd International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-6539-2
DOI :
10.1109/ICACTE.2010.5579184
