Journal of Japan Society for Fuzzy Theory and Intelligent Informatics
Online ISSN : 1881-7203
Print ISSN : 1347-7986
ISSN-L : 1347-7986
Original Papers
On the Properties of Multi-Dimensional t-norms
Masaya NOHMIAoi HONDAYoshiaki OKAZAKI
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2013 Volume 25 Issue 5 Pages 834-841

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Abstract
The t-norms are significant operations useful for fuzzy theory. The domains of t-norms are usually the closed interval [ 0, 1 ] or general lattices L . Specific sets except [ 0, 1 ] are rarely used as domains of t-norms. In this article, two-dimensional t-norms defined on the closed unit square [ 0, 1 ] times [ 0, 1 ] and multi-dimensional t-norms are studied. Some examples of them are shown. Moreover the generating functions of them are studied.
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© 2013 Japan Society for Fuzzy Theory and Intelligent Informatics
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