Flow Graphs and Decision Tables with Fuzzy Attributes

  • Alicja Mieszkowicz-Rolka
  • Leszek Rolka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)


This paper is concerned with the issue of design and analysis of fuzzy decision systems, basing on recorded process data. A concept of fuzzy flow graphs is proposed to allow representation of decision tables with fuzzy attributes. Basic notions of the crisp flow graph approach are generalized. Satisfaction of flow graph properties, with respect to fuzzy connectives used in calculations, is taken into account. Alternative definitions of the path’s certainty and strength are introduced. In an illustrative example a decision table with fuzzy attributes is analyzed and interpreted in terms of flow graphs.


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  1. 1.
    Greco, S., Pawlak, Z., Słowiński, R.: Generalized Decision Algorithms, Rough Inference Rules, and Flow Graphs. In: Alpigini, J.J., Peters, J.F., Skowron, A., Zhong, N. (eds.) RSCTC 2002. LNCS (LNAI), vol. 2475, pp. 93–104. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  2. 2.
    Greco, S., Pawlak, Z., Słowiński, R.: Bayesian Confirmation Measures within Rough Set Approach. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 264–273. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  3. 3.
    Klir, G.J., Folger, T.A.: Fuzzy Sets, Uncertainty, and Information. Prentice-Hall, Englewood Cliffs (1988)zbMATHGoogle Scholar
  4. 4.
    Mieszkowicz-Rolka, A., Rolka, L.: Variable Precision Fuzzy Rough Sets Model in the Analysis of Process Data [8], 354–363Google Scholar
  5. 5.
    Pawlak, Z.: Decision Algorithms, Bayes’ Theorem and Flow Graphs. In: Rutkowski, L., Kacprzyk, J. (eds.) Advances in Soft Computing, pp. 18–24. Physica-Verlag, Heidelberg (2003)Google Scholar
  6. 6.
    Pawlak, Z.: Flow Graphs and Data Mining. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets III (Journal Subline). LNCS, vol. 3400, pp. 1–36. Springer, Heidelberg (2005)CrossRefGoogle Scholar
  7. 7.
    Pawlak, Z.: Rough Sets and Flow Graphs [6], 1–11Google Scholar
  8. 8.
    Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds.): RSFDGrC 2005. LNCS (LNAI), vol. 3641. Springer, Heidelberg (2005)Google Scholar
  9. 9.
    Yager, R.R., Filev, D.P.: Essentials of Fuzzy Modelling and Control. John Wiley & Sons, Inc., Chichester (1994)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Alicja Mieszkowicz-Rolka
    • 1
  • Leszek Rolka
    • 1
  1. 1.Department of Avionics and ControlRzeszów University of TechnologyRzeszówPoland

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