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On the direct decomposability of t-norms on product lattices

✍ Scribed by Sándor Jenei; Bernard De Baets

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
227 KB
Volume
139
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper, a method is presented for constructing t-norms on product lattices (in other words: commutative partially ordered integral monoids over product lattices) which are not direct products. The method is fairly general and allows to generate a broad class of such t-norms. This solves an open problem posed in 1999 by De Baets and Mesiar.

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