Monotonic Behavior of Entropies and Co---entropies for Coverings with Respect to Different Quasi---orderings

  • Authors:
  • Daniela Bianucci;Gianpiero Cattaneo

  • Affiliations:
  • Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano --- Bicocca, Via Bicocca degli Arcimboldi 8, I---20126 Milano, Italia;Dipartimento di Informatica, Sistemistica e Comunicazione, Università di Milano --- Bicocca, Via Bicocca degli Arcimboldi 8, I---20126 Milano, Italia

  • Venue:
  • RSEISP '07 Proceedings of the international conference on Rough Sets and Intelligent Systems Paradigms
  • Year:
  • 2007

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Abstract

Some quasi---ordering for coverings are here defined. Different definitions of entropies and co---entropies for coveringsare examined, also focusing on the distinction between the here called globaland pointwiseapproaches to co---entropies. The entropies and co---entropies are defined both for coverings generated from an information system via a similarity relation and for generic coverings of a universe X(i.e., coverings not necessarily generated from an information system via a similarity relation). The behavior of the entropies and co---entropies for coverings with respect to the defined quasi---orderings is thus explored.