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Dependency and accuracy measures for directed graphs

Author

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  • Chiaselotti, G.
  • Gentile, T.
  • Infusino, F.
  • Oliverio, P.A.

Abstract

In this paper we use finite directed graphs (digraphs) as mathematical models to study two basic notions widely analyzed in granular computing: the attribute dependency and the approximation accuracy. To be more specific, at first we interpret any digraph as a Boolean information table, next we study the approximation accuracy for three fundamentals digraph families: the directed path, the directed cycle and the transitive tournament. We also introduce a new global average for the attribute dependency in any information table and we determine such number for any directed path. For the transitive tournament we provide a lower bound.

Suggested Citation

  • Chiaselotti, G. & Gentile, T. & Infusino, F. & Oliverio, P.A., 2018. "Dependency and accuracy measures for directed graphs," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 781-794.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:781-794
    DOI: 10.1016/j.amc.2017.10.031
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    References listed on IDEAS

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    1. Chiaselotti, G. & Gentile, T. & Oliverio, P.A., 2014. "Parallel and sequential dynamics of two discrete models of signed integer partitions," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1249-1261.
    2. Haixuan Yang & Irwin King & Michael R. Lyu, 2007. "The generalized dependency degree between attributes," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(14), pages 2280-2294, December.
    3. Greco, Salvatore & Matarazzo, Benedetto & Slowinski, Roman, 2002. "Rough sets methodology for sorting problems in presence of multiple attributes and criteria," European Journal of Operational Research, Elsevier, vol. 138(2), pages 247-259, April.
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    Cited by:

    1. Huang, Bing & Li, Huaxiong & Feng, Guofu & Zhou, Xianzhong, 2019. "Dominance-based rough sets in multi-scale intuitionistic fuzzy decision tables," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 487-512.

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