Title :
Rough 3-valued Lukasiewicz algebras and BCI-algebras
Author_Institution :
Inst. of Artificial Intell., Zhejiang Univ., Hangzhou, China
Abstract :
The collection of all the rough sets of an approximation space can be made into a 3-valued Lukasiewicz algebra called rough 3-valued Lukasiewcz algebras. BCI-algebras and BCK-algebras are two important classes of logical algebras. In this paper, it is shown that a rough 3-valued Lukasiewicz algebra is a BCI-algebra and a BCK-algebra. The direct relation between rough set theory and BCI-algebras/BCK-algebras is constructed. The definition of rough BCI-algebras and rough BCK-algebras are also given.
Keywords :
algebra; approximation theory; rough set theory; BCI-algebras; BCK-algebras; logical algebras; rough 3-valued Lukasiewicz algebras; rough set theory; Algebra; Artificial intelligence; Cognition; Rough sets; Set theory; BCI-algebras; BCK-algebras; rough algebras; rough set theory;
Conference_Titel :
Granular Computing, 2009, GRC '09. IEEE International Conference on
Conference_Location :
Nanchang
Print_ISBN :
978-1-4244-4830-2
DOI :
10.1109/GRC.2009.5255151
