V. B. Larionov, V. S. Fedorova, “On the structure of closed classes containing some classes of monotone functions in multivalued logic”, Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 2,Pages <nobr>38

On the structure of closed classes containing some classes of monotone functions in multivalued logic

V. B. Larionov^a, V. S. Fedorova^b

^a Ates Medica Soft Ltd.
^b Moscow State University, faculty of computational mathematics and cybernetics, 119899, Moscow, Vorobyevy Gory

Abstract: We consider closed classes of monotone functions in multivalued logic with respect to partially ordered sets that have a unique minimal element. We build an infinite set of such classes, where each class is contained in an infinite number of closed classes.

Keywords: multivalued logic; monotone function; structure; predicate.

UDC: 519.7