Partial functions of the k-valued logic monotone with respect to an arbitrary partially ordered set with the least and largest elements and distinct from a lattice are considered. It is shown that the set of closed classes of partial monotone functions containing a precomplete in P_k class of everywhere determined monotone function is infinite.

中文翻译：

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多值逻辑的部分单调函数的无穷类集的构造

考虑相对于具有最小和最大元素并且不同于晶格的任意部分有序集的k值逻辑单调的偏函数。结果表明，在各处确定的单调函数的P _k类中包含预完成的部分单调函数的封闭类的集合是无限的。