Kybernetika 55 no. 3, 518-530, 2019

Some notes on U-partial order

M. Nesibe Kesicioğlu, Ü. Ertuğrul and F. KaraçalDOI: 10.14736/kyb-2019-3-0518

Abstract:

In this paper, an equivalence on the class of uninorms on a bounded lattice is discussed. Some relationships between the equivalence classes of uninorms and the equivalence classes of their underlying t-norms and t-conorms are presented. Also, a characterization for the sets admitting some incomparability w.r.t. the U-partial order is given.

Keywords:

uninorm, bounded lattice, partial order, equivalence, T-norm

Classification:

03E72, 03B52

paper.pdf

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