Geodesic
Constructing substitutions on the basis of threshold functions of multivalued logic
Prikladnaâ diskretnaâ matematika, no. 2 (2016), pp. 20-32

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An algorithm for building one-to-one mappings (substitutions) with the help of coordinate threshold $k$-valued logic functions is presented. The algorithm includes a geometric way of generating balanced threshold functions and two ways to produce substitutions from these functions – by forming triangular systems and by algorithmic searching. Results of experimental testing the algorithms are given.
Keywords: threshold functions, multiple-valued logic, balanced functions, regular systems. 
@article{PDM_2016_2_a1,
     author = {D. A. Soshin},
     title = {Constructing substitutions on the basis of threshold functions of multivalued logic},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {20--32},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2016_2_a1/}
}
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D. A. Soshin. Constructing substitutions on the basis of threshold functions of multivalued logic. Prikladnaâ diskretnaâ matematika, no. 2 (2016), pp. 20-32. http://geodesic.mathdoc.fr/item/PDM_2016_2_a1/