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A new solution methodology for fuzzy relation equations

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Methodology and Tools in Knowledge-Based Systems (IEA/AIE 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1415))

Abstract

In this paper a general methodology for studying and solving fuzzy relation equations based on sup-t composition, where t is any continuous triangular norm, is proposed. To this end the concept of the “solution matrices” is introduced, as a way of representing the process information required for the resolution. Using this concept, the solution existence of a fuzzy relation equation is first examined. When the relation equation has no solution, the reasons for this lack of solvability are found. Otherwise, the solution set is determined.

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References

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Author information

Authors and Affiliations

  1. Intelligent Robotics and Automation Laboratory, Department of Electrical and Computer Engineering, National Technical University of Athens, Zographou 15773, Athens, Greece

    Spyros G. Tzafestas

  2. Intelligent Robotics and Automation Laboratory, Department of Electrical and Computer Engineering, National Technical University of Athens, Athens, Greece

    Giorgos B. Stamou

Authors
  1. Spyros G. Tzafestas
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  2. Giorgos B. Stamou
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Editor information

José Mira Angel Pasqual del Pobil Moonis Ali

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© 1998 Springer-Verlag

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Tzafestas, S.G., Stamou, G.B. (1998). A new solution methodology for fuzzy relation equations. In: Mira, J., del Pobil, A.P., Ali, M. (eds) Methodology and Tools in Knowledge-Based Systems. IEA/AIE 1998. Lecture Notes in Computer Science, vol 1415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-64582-9_750

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  • DOI: https://doi.org/10.1007/3-540-64582-9_750

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64582-5

  • Online ISBN: 978-3-540-69348-2

  • eBook Packages: Springer Book Archive

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