IJPAM: Volume 16, No. 2 (2004)
SOME PROPERTIES OF CONTINUOUS
t-NORMS AND s-NORMS
t-NORMS AND s-NORMS
M. Amini
, R. Saadati
Department of Mathematics
Tarbiat Modarres University
P.O. Box 14115-175, Tehran, IRAN
e-mail: mamini@modares.ac.ir
Department of Mathematics
Amol Azad University
1, 4th Fajr, Amol, 46176-54553, IRAN
e-mail: rezas720@yahoo.com
, R. Saadati
Department of Mathematics
Tarbiat Modarres University
P.O. Box 14115-175, Tehran, IRAN
e-mail: mamini@modares.ac.ir
Department of Mathematics
Amol Azad University
1, 4th Fajr, Amol, 46176-54553, IRAN
e-mail: rezas720@yahoo.com
Abstract.In this paper we study some properties of continuous t-norms and
s-norms and their relations. We define semi-distributivity of a
t-norm with respect to s-norms and vise versa, then we give
conditions for defining real powers.
Received: June 13, 2004
AMS Subject Classification: 03B52
Key Words and Phrases: continuous t-norms, continuous s-norms, semi-distributivity, real powers
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 2
