Authors: Horváth, Eszter K.
Šešelja, Branimir
Tepavčević, Andreja 
Title: Cut approach to invariance groups of lattice-valued functions
Journal: Soft Computing
Volume: 21
Issue: 4
First page: 853
Last page: 859
Issue Date: 1-Feb-2017
Rank: M22
ISSN: 1432-7643
DOI: 10.1007/s00500-016-2084-3
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.
Keywords: Cuts | Invariance groups | Lattice-valued Boolean functions
Publisher: Springer Link
Project: NFSR of Hungary (OTKA), Grant number K 115518
Development of methods of computation and information processing: theory and applications 
Provincial Secretariat for Science and Technological Development, Autonomous Province of Vojvodina, Grant “Ordered structures and applications”

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