IJPAM: Volume 18, No. 2 (2005)


Young Bae Jun$^1$, Kyung Ho Kim$^2$
$^1$Department of Mathematics
College of Education
Gyeongsang National University
Chinju, 660-701, KOREA
e-mail: [email protected]
$^2$Department of Mathematics
Chungju National University
Chungju, 380-702, KOREA
e-mail: [email protected]

Abstract.The $\Omega$-fuzzy setting of an $\Omega$-left $k$-ideal (resp. $\Omega$-left $h$-ideal) in an $\Omega$-semiring (resp. $\Omega$-hemiring) is constructed, and basic properties are investigated. Using a collection of $\Omega$-left $k$-ideals (resp. $\Omega$-left $h$-ideals) of an $\Omega$-semiring (resp. $\Omega$-hemiring) $S$, $\Omega$-fuzzy left $k$-ideals (resp. $\Omega$-fuzzy left $h$-ideals) of $S$ are established. The notion of a finite valued $\Omega$-fuzzy left $k$-ideal (resp. $\Omega$-fuzzy left $h$-ideal) is introduced, and its characterization is given. Fuzzy relations on an $\Omega$-semiring (resp. $\Omega$-hemiring) $S$ are discussed.

Received: October 9, 2004

AMS Subject Classification: 16Y60, 03E72

Key Words and Phrases: $\Omega$-semiring, $\Omega$-hemiring, $\Omega$-left $k$-ideal, $\Omega$-left $h$-ideal, $\Omega$-fuzzy left $k$-ideal, $\Omega$-fuzzy left $h$-ideal, $\Omega$-left $k$-Noetherian, $\Omega$-left $h$-Noetherian

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 2