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A New Class of Fuzzy Petri Nets for Knowledge Representation and Reasoning

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Języki publikacji
EN
Abstrakty
EN
This paper presents a new class of Petri nets called generalised fuzzy Petri nets. The new class extends the existing fuzzy Petri nets by introducing three operators in the form of triangular norms, which are supposed to function as substitute for the min, max and * (algebraic product) operators. To demonstrate the power and the usefulness of this model, an application of the generalised fuzzy Petri nets in the domain of train traffic control is provided. The new model is more flexible than the classical one as in the former class the user has the chance to define the input/output operators. The proposed approach can be used for knowledge representation and reasoning in decision support systems.
Wydawca
Rocznik
Strony
193--207
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
autor
  • Institute of Computer Science, University of Rzeszów, Poland
Bibliografia
  • [1] Cardoso, J. and Camargo, H. (eds.): "Fuzziness in Petri Nets", Springer, 1999
  • [2] Chen, S.M., Ke, J.S., and Chang, J.F.: "Knowledge representation using fuzzy Petri nets". IEEE Trans. on Knowledge and Data Engineering 2(3), Sept. 1990, 311-319
  • [3] Fay, A. and Schnieder, E.: "Fuzzy Petri Nets for Knowledge Modelling in Expert Systems". In: [1], pp. 300-318
  • [4] Fryc, B., Pancerz, K., and Suraj, Z.: "On Approximate Petri nets with fuzzy operators in data classification process". Decision Support Systems, Institute of Computer Sci., Silesia University, Katowice 2009, pp. 53-61
  • [5] Fryc, B., Pancerz, K., and Suraj, Z.: "Approximate Petri Nets for Rule-Based Decision Making". Lecture Notes in Artificial Intelligence, vol. 3066, Springer, 2004, pp. 733-742
  • [6] Fryc, B., Pancerz, K., Peters, J.F., and Suraj, Z.: "On Fuzzy Reasoning Using Matrix Representation of Extended Fuzzy Petri Nets". Fundamenta Informaticae 60(1-4), 2004, 143-157
  • [7] Garg, M. L., Ahson, S. I., and Gupta, P.V.: "A fuzzy Petri net for knowledge representation and reasoning". Information Processing Letters, 1991, 165-171
  • [8] Jensen, K. and Rozenberg, G.: "High-level Petri Nets". Springer, 1991
  • [9] Klement, E.P., Mesiar, R., and Pap, E.: "Triangular Norms", Kluwer, 2000
  • [10] Li, X. and Lara-Rosano, F.: "Adaptive fuzzy Petri nets for dynamic knowledge representation and inference". Expert Systems with Applications 19, 2000, 235-241
  • [11] Looney, C.G.: "Fuzzy Petri Nets for Rule-Based Decision-making. IEEE Trans. Syst., Man, Cybern. 18-1, 1988,178-183
  • [12] Pedrycz, W. and Gomide, F.: "A generalized fuzzy Petri net model". IEEE Trans. on Fuzzy Systems 2-4, 1994, 295-301
  • [13] Pedrycz, W.: "Generalized fuzzy Petri nets as pattern classifiers". Pattern Recognition Letters 20-14, Dec. 1999, 1489-1498
  • [14] Peters, J.F., Skowron, A., Suraj, Z., Ramanna, S., and Paryzek, A.: "Modelling Real-Time Decision-Making Systems with Roughly Fuzzy Petri Nets". Proc. 6th European Congress on Intelligent Techniques and Soft Computing (EUFIT’98), Aachen, Germany, Sept. 7-10, 1998, pp. 985-989
  • [15] Peterson, J.L.: "Petri net theory and the modeling of systems". Prentice-Hall, Inc., Englewood Cliffs, N.J., 1981
  • [16] Petri, C.A.: "Kommunikation mit Automaten". Schriften des IIM Nr. 2, Institut für Instrumentelle Mathematik, Bonn, 1962.
  • [17] Suraj, Z.: "Generalised fuzzy Petri nets for approximate reasoning in decision support systems". Proc. Intern. Workshop on Concurrency, Specification and Programming (CS&P 2012), Berlin, Sept. 26-28, 2012, vol. 2, Humboldt University, Berlin 2012, pp. 370-381
  • [18] Suraj, Z.: "Parameterised Fuzzy Petri Nets for Approximate Reasoning in Decision Support Systems". Communications in Computer and Information Science series, vol. 322, Springer, 2012, pp. 33-42
  • [19] Suraj, Z.: "Knowledge Representation and Reasoning Based on Generalised Fuzzy Petri Nets". Proc. 12th Intern. Conf. on Intelligent Systems Design and Applications (ISDA 2012), Kochi, India, Nov. 27-29, 2012, IEEE Press, pp. 101-106
  • [20] Suraj, Z. and Fryc, B.: "Timed Approximate Petri Nets". Fundamenta Informaticae 71, 2006, 83-99
  • [21] Szpyrka, M. and Szmuc, T.: "Decision tables in Petri net models". Lecture Notes in Artificial Intelligence, vol. 4585, Springer, 2007, pp. 648-657
  • [22] Szpyrka, M.: "Design and analysis of rule-based systems with Adder Designer". Studies in Computational Intelligence, vol. 102, Springer, 2008, pp. 255-271
  • [23] Zadeh, L.A.: "Fuzzy sets". Information and Control 8, 1965, 338-353
Typ dokumentu
Bibliografia
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