Abstract
The simplest decision on Sheffer function is an important theoretical and practical problem in structure theory of multiple-valued logic functions.According to the system perspective of "preserving relationship",this paper discussed some properties of pre-complete classes of some multiple-valued logic function sets by means of group theory and combinatorial mathematics.The necessary and sufficient conditions satisfying that the non-empty relationship is a totally relationship and the subgroup H is the symmetric group of Gm are found and proofed.In addition,the number of the complete symmetric function sets in Fs,m is presented.The obtained results provide some basis for judging Sheffer functions in partial multiple-valued logic.
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