arXiv subjects

Andrea Mesiarova-Zemankova

Publications and source records attributed to Andrea Mesiarova-Zemankova.

3 recordsLinked to original sources

arXiv2016

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

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.

math.CA↗

arXiv2015

Characterization of uninorms with continuous underlying t-norm and t-conorm by means of an extended ordinal sum

The uninorms with continuous underlying t-norm and t-conorm are characterized via an extended ordinal sum construction. Using the results of [18], where each uninorm with continuous underlying operations was characterized by properties of its set of discontinuity points, it is shown that each such a uninorm can be decomposed into an extended ordinal sum of representable uninorms, continuous Archimedean t-norms, continuous Archimedean t-conorms and internal uninorms.

math.RA↗

arXiv2015

Ordinal sums of representable uninorms

We investigate properties of an ordinal sum of uninorms introduced in [8] in the case that the summands are proper representable uninorms. We show sufficient and necessary conditions for a uninorm to be an ordinal sum of representable uninorms.

math.GM↗