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A New Method to Compare Dynamical Systems

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Foundations of Fuzzy Logic and Soft Computing (IFSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4529))

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Abstract

This work presents a new method to compare two Temporal Fuzzy Chains (TFCs). The TFCs comparison is used to compare the temporal evolution of two dynamical systems (TFCs). Firstly, the two TFCs that represent the two DSs are obtained. After that, the two obtained TFCs are compared, so the similarity of the two TFCs is obtained. This “similarity” is done by using linguistic labels.

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References

  1. Luenberger, D.G.: Introduction to Dynamic Systems: Theory, Models and Applications. John Wiley and Sons, Chichester (1979)

    MATH  Google Scholar 

  2. Moreno-Garcia, J., Castro-Schez, J.J., Jimenez, L.: A fuzzy inductive algorithm for modeling dynamical systems in a comprehensible way. To be published in IEEE Transactions on Fuzzy Systems

    Google Scholar 

  3. Moreno-Garcia, J., Jimenez, L., Castro-Schez, J.J., Rodriguez, L.: A direct linguistic induction method for systems. Fuzzy Sets and Systems 146, 79–96 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  4. Castro, J.L., Castro-Schez, J.J., Zurita, J.M.: Learning maximal structure rules in fuzzy logic for knowledge acquisition in expert systems. Fuzzy Sets and Systems 101, 331–342 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  5. Gonzalez, A.: A learning methodology in uncertain and impresise enviroments. International Journal of Intelligence Systems 10, 357–371 (1995)

    Article  MATH  Google Scholar 

  6. Leekwijck, W.V., Kerre, E.E.: Defuzzification: criteria and classification. Fuzzy Sets and Systems 108(2), 159–178 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning, Part I. Information Science 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  8. Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning, II. Information Science 8, 301–357 (1975)

    Article  MathSciNet  Google Scholar 

  9. Zadeh, L.A.: The concept of a linguistic variable and its applications to approximate reasoning, Part III. Information Science 9, 43–80 (1975)

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

Authors

Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

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© 2007 Springer Berlin Heidelberg

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Moreno-Garcia, J., Castro-Schez, J.J., Jimenez, L. (2007). A New Method to Compare Dynamical Systems. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_53

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  • DOI: https://doi.org/10.1007/978-3-540-72950-1_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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