Abstract
In multiple-valued logic theories, the decision and construction for Sheffer functions is an important problem. The decision for Sheffer functions is interrelated to the decision for completeness of functions set, and the solution can be reduced to determining the minimal coverings of precomplete. It’s well known that each precomplete set is a function set,T(G m ), preserving the relation G m , therefore, the categorizing of this relation has provided the determination of precomplete set’s minimal covering with more convenient ways. In this paper, fully symmetric relations in partial four-valued logic are categorized by similar relation.
This work is supported by the National and Hunan Province Natural Science Foundation of China (60083001,60375021, 60433020, 03JJY3099).
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References
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Liu, R., Wang, T. (2006). On the Categorizing of Fully Symmetric Relations in Partial Four-Valued Logic. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_32
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DOI: https://doi.org/10.1007/11881599_32
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