Displaying similar documents to “Dualities associated to binary operations on R ¯ .”

Compositions of ternary relations

Norelhouda Bakri, Lemnaouar Zedam, Bernard De Baets (2021)

Kybernetika

Similarity:

In this paper, we introduce six basic types of composition of ternary relations, four of which are associative. These compositions are based on two types of composition of a ternary relation with a binary relation recently introduced by Zedam et al. We study the properties of these compositions, in particular the link with the usual composition of binary relations through the use of the operations of projection and cylindrical extension.

On reverses of some binary operators

Michal Šabo, Peter Strežo (2005)

Kybernetika

Similarity:

The notion of reverse of any binary operation on the unit interval is introduced. The properties of reverses of some binary operations are studied and some applications of reverses are indicated.

Characterizing binary discriminator algebras

Ivan Chajda (2000)

Mathematica Bohemica

Similarity:

The concept of the (dual) binary discriminator was introduced by R. Halas, I. G. Rosenberg and the author in 1999. We study finite algebras having the (dual) discriminator as a term function. In particular, a simple characterization is obtained for such algebras with a majority term function.