Parametric closed sets of multioperations on two-element set

Parametric closed sets of multioperations on two-element set

(Russian, English abstract)

Panteleev V. I., Ryabets L. V.
Siberian Electronic Mathematical Reports, 21, 2, pp. 1326-1336 (2024)

УДК 519.716 
DOI: 10.33048/semi.2024.21.083  
MSC 03B50, 08A99


Abstract:

In this paper the problem of classifying a set of multioperations of rank 2 with respect to the parametric closure operator is considered. A completeness criterion was found and it was shown that the set of all multioperations contains two parametrically closed classes.

 

Keywords: multifunction, multioperation, parametric closure, superposition, completeness criterion, $k$-valued logic