Extended operations and relations on the class of ordinal numbers
Artur Rubin, Jean Rubin (1969)
Fundamenta Mathematicae
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Artur Rubin, Jean Rubin (1969)
Fundamenta Mathematicae
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Artur Rubin, Jean Rubin (1971)
Fundamenta Mathematicae
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Alonzo Church, S. Kleene (1937)
Fundamenta Mathematicae
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Fred Galvin, Jean Larson (1975)
Fundamenta Mathematicae
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P. Erdös, E. Specker (1961)
Colloquium Mathematicae
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Radko Mesiar (1995)
Mathware and Soft Computing
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We discuss the properties of two types of construction of a new t-norm from a given t-norm proposed recently by B. Demant, namely the dilatation and the contraction. In general, the dilatation of a t-norm is an ordinal sum t-norm and the continuity of the outgoing t-norm is preserved. On the other hand, the contraction may violate the continuity as well as the non-continuity of the outgoing t-norm. Several examples are given.
J. Hickman (1973)
Fundamenta Mathematicae
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Alexander Abian (1980)
Archivum Mathematicum
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