The structure ofn-contractive t-norms

Andrea Mesiarová‐Zemánková · International Journal of General Systems · 2005

Archimedean components of t-norms are shown to determine the degree of contractivity of the investigated t-norms. It is shown that Archimedean components play an important role also in the case of torsion t-norms. A special class of generated n-contractive left-continuous t-subnorms is introduced, thus allowing to construct left-continuous n-contractive t-norms by means of ordinal sums. Several examples of 3- and 4-contraction t-norms are given.

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