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Difference fuzzy relation equations: Studies in dynamical systems

  • Antonio Di Nola
  • Witold Pedrycz
  • Salvatore Sessa
Contributed Papers
Part of the Lecture Notes in Computer Science book series (LNCS, volume 548)

Abstract

This paper concerns a new type of fuzzy relation equation involving dynamical processes. We introduce a logic-based difference operator forming the left-hand side of the equation. We will analyse properties of this operator, further it will revealed how dynamics, modelled in this format, are related to ambiguity (stated as interval-valued fuzzy sets) of successive states. A comparison with previous types of fuzzy relation equations is pointed out.

Key words and phrases:

Dynamical systems fuzzy relation equation qualitative modelling ambiguity propagation difference operator 

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References

  1. [1]
    A. Di Nola, W. Pedrycz, E. Sanchez and S. Sessa, Fuzzy Relation Equations and Their Applications to Knowledge Engineering, Kluwer Academic Publishers, Dordrecht (1989).Google Scholar
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    D. Dubois and H. Prade, Towards fuzzy differential calculus. Part 2: Integration on fuzzy intervals, Fuzzy Sets and Systems 8 (1982), 105–116.Google Scholar
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    W. Pedrycz, Approximate solutions of fuzzy relational equations, Fuzzy Sets and Systems 2 (1988), 183–202.Google Scholar
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    W. Pedrycz, Direct and inverse problem in comparison of fuzzy data, Fuzzy Sets and Systems 34 (1990), 223–235.Google Scholar
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    W. Pedrycz, Neurocomputations in relational systems, IEEE Trans. on Pattern Analysis and Machine Intelligence, to appear.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Antonio Di Nola
    • 1
  • Witold Pedrycz
    • 2
  • Salvatore Sessa
    • 1
  1. 1.Facoltà di Architettura, Istituto MatematicoUniversità di NapoliNapoliItaly
  2. 2.Department of Electrical EngineeringUniversity of ManitobaWinnipegCanada

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