Degenerate arrays: a framework for uncertain data tables

  • Authors:
  • Margaret Miró-Julià

  • Affiliations:
  • Departament de Ciències, Matemàtiques i Informàtica, Universitat de les Illes Balears, Palma de Mallorca, Spain

  • Venue:
  • EUROCAST'05 Proceedings of the 10th international conference on Computer Aided Systems Theory
  • Year:
  • 2005

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Abstract

Boolean algebra provides an important model for the description of knowledge using a binary language. This paper considers a multivalued language, based on arrays and co-arrays, that allows a multivalued description of the knowledge contained in a data table. This multivalued algebra has some special elements which are arryas and co-arrays at the same time: the degenerate arrays. These degenerate arrays are singled out and their interpretation analyzed, which gives rise to the introduction of the array projections and co-array projections. Finally, a relation between array projections, co-array projections and uncertain data tables is examined.