Left-continuous t-norms are much more complicated than the continuous ones, and obtaining a complete classification of them seems to be a very hard task. In this paper we investigate some aspects of left-continuous t-norms, with emphasis on their continuity points. In particular, we are interested in left-continuous t-norms which are isomorphic to t-norms which are continuous in the rationals. We characterize such a class, and we prove that it contains the class of all weakly cancellative left-continuous t-norms.
Montagna, F., Jenei, S. (2003). On the continuity points of left-continuous t-norms. ARCHIVE FOR MATHEMATICAL LOGIC, 42(8), 797-810 [10.1007/s00153-003-0182-2].
On the continuity points of left-continuous t-norms
MONTAGNA, FRANCO;
2003-01-01
Abstract
Left-continuous t-norms are much more complicated than the continuous ones, and obtaining a complete classification of them seems to be a very hard task. In this paper we investigate some aspects of left-continuous t-norms, with emphasis on their continuity points. In particular, we are interested in left-continuous t-norms which are isomorphic to t-norms which are continuous in the rationals. We characterize such a class, and we prove that it contains the class of all weakly cancellative left-continuous t-norms.
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https://hdl.handle.net/11365/17171
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