|Authors:||Horváth, Eszter K.
|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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