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arXiv · 1507.02958

Characterization of uninorms with continuous underlying t-norm and t-conorm by their set of discontinuity points

Andrea Mesiarova-Zemankova
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Abstract

Uninorms with continuous underlying t-norm and t-conorm are discussed and properties of the set of discontinuity points of such a uninorm are shown. This set is proved to be a subset of the graph of a special symmetric, surjective, non-increasing multi-function. A sufficient condition for a uninorm to have continuous underlying operations is also given. Several examples are included.

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BibTeXRIS

Andrea Mesiarova-Zemankova. 2016-07-18. Characterization of uninorms with continuous underlying t-norm and t-conorm by their set of discontinuity points. https://arxiv.org/abs/1507.02958

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