Title
Cut approach to invariance groups of lattice-valued functions.
Abstract
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
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. Horváth172.06
Branimir Šešelja217023.33
Andreja Tepavčevic3398.83