Abstract | ||
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This paper deals with lattice-valued n-variable functions on a k-element domain, considered as a generalization of lattice-valued Boolean functions. We investigate invariance groups of these functions, i.e., the group of such permutations that leaves the considered function invariant. We show that the invariance groups of lattice-valued functions depend only on the cuts of the function. Furthermore, we construct such lattice-valued Boolean function (and its generalization), the cuts of which represent all representable invariance groups. |
Year | DOI | Venue |
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2017 | 10.1007/s00500-016-2084-3 | Soft Comput. |
Keywords | Field | DocType |
Lattice-valued Boolean functions, Invariance groups, Cuts | Boolean function,Discrete mathematics,Lattice (order),Invariant (physics),Permutation,Invariant (mathematics),Mathematics | Journal |
Volume | Issue | ISSN |
21 | 4 | 1433-7479 |
Citations | PageRank | References |
0 | 0.34 | 6 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Eszter K. Horváth | 1 | 7 | 2.06 |
Branimir Šešelja | 2 | 170 | 23.33 |
Andreja Tepavčevic | 3 | 39 | 8.83 |