IJPAM: Volume 36, No. 4 (2007)


Li Guxin$^1$, Zhang Xiaodong$^2$, Peng Dejun$^3$, Zhang Chengyi$^4$
$^1$Department of Computer Science
Zhumadian Education College
Henan, 463000, P.R. CHINA
$^{2,3,4}$Department of Mathematics
Hainan Normal University
Hainan, Haikou, 571158, P.R. CHINA

Abstract.In this paper, we define the concept of fuzzy congruence on the bi-semirings. The properties of bi-semirings S with fuzzy congruence relation are discussed. We prove that if S is a reversible bi-semirings with fuzzy congruence relation, then the kernel of fuzzy congruence relation is a fuzzy ideal of S. And some homomorphic properties of bi-semirings with fuzzy congruence relation are investigated at the end.

Received: February 15, 2007

AMS Subject Classification: 94D05

Key Words and Phrases: bi-semirings, fuzzy equivalence relations, fuzzy congruence relations, fuzzy ideals

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 4