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Issues and Challenges in Artificial Intelligence pp 167–178Cite as

Optimal Design of Rule-Based Systems by Solving Fuzzy Relational Equations

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 559))

Abstract

In this chapter, an approach to the design of rule-based systems within the framework of fuzzy relational calculus is proposed. The system of fuzzy relations serves as the generator of the rule-based solutions of fuzzy relational equations. Each solution represents a different trade-off between the classification accuracy and the number of fuzzy rules. The accuracy-complexity trade-off is achieved by optimization of the total number of decision classes for relations and rules.

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References

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Author information

Authors and Affiliations

  1. Jerusalem College of Technology—Machon Lev, Jerusalem, Israel

    A. P. Rotshtein

  2. Vinnitsa National Technical University, Vinnitsa, Ukraine

    H. B. Rakytyanska

Authors
  1. A. P. Rotshtein
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  2. H. B. Rakytyanska
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Corresponding author

Correspondence to A. P. Rotshtein .

Editor information

Editors and Affiliations

  1. University of Information Technology and Management, Rzeszów, Poland

    Zdzisław S. Hippe

  2. Polish Academy of Sciences, Institute of Biocybernetics and Biomedical Engineering, Warszawa, Poland

    Juliusz L. Kulikowski

  3. University of Information Technology and Management, Rzeszów, Poland

    Teresa Mroczek

  4. Gdańsk University of Technology, Gdańsk-Wrzeszcz, Poland

    Jerzy Wtorek

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© 2014 Springer International Publishing Switzerland

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Rotshtein, A.P., Rakytyanska, H.B. (2014). Optimal Design of Rule-Based Systems by Solving Fuzzy Relational Equations. In: S. Hippe, Z., L. Kulikowski, J., Mroczek, T., Wtorek, J. (eds) Issues and Challenges in Artificial Intelligence. Studies in Computational Intelligence, vol 559. Springer, Cham. https://doi.org/10.1007/978-3-319-06883-1_14

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  • DOI: https://doi.org/10.1007/978-3-319-06883-1_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-06882-4

  • Online ISBN: 978-3-319-06883-1

  • eBook Packages: EngineeringEngineering (R0)

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