IJPAM: Volume 30, No. 4 (2006)

ON FUZZY PARTITIONS

M.A.H. Shakhatreh$^1$, W.A.A. Shatanawi$^2$
M.M.M. Jaradat$^3$, A.A.A. Fora$^4$
$^{1,3,4}$Department of Mathematics
Yarmouk University
Irbid, JORDAN
$^{1}$e-mail: mali@yu.edu.jo
$^{3}$e-mail: mmjst4@yu.edu.jo
$^{4}$e-mail: afora_jo@yahoo.com
$^{2}$Department of Mathematics
The Hashemite University
Zarqa, JORDAN
$^{2}$e-mail: swasfi@hu.edu.jo


Abstract.Several definitions of fuzzy partitions are introduced. The relations between them are studied. The weakest and the strongest one are indicated. The relations between our definitions of fuzzy partition on $X$ and a partition of $X$ are studied.

Received: June 8, 2006

AMS Subject Classification: 26E50, 03E72, 46S40

Key Words and Phrases: fuzzy partitions, fuzzy sets, fuzzy analysis

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 4