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A New Method for Solving Square Fuzzy Linear Systems

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

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Abstract

In this paper the exact algebraic characterization (w.r.t. a generalized \(\{1\}\)-inverse) of any solution of a general \(n\times n\) fuzzy linear system, whose coefficient matrix is a real matrix, singular or non-singular, is presented. A new method for obtaining exact solutions of a general \(n\times n\) fuzzy linear system is introduced. If the associated matrix is singular, infinitely many solutions are obtained, what is illustrated in given examples.

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Acknowledgements

The work presented in this paper was supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia trough the projects: ON 175016 (first author), ON 174009 (second author) and ON 174032, III 44006 (third author).

Author information

Authors and Affiliations

  1. School of Electrical Engineering, University of Belgrade, Belgrade, Serbia

    Vera Miler Jerković & Branko Malešević

  2. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Biljana Mihailović

Authors
  1. Vera Miler Jerković
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  2. Biljana Mihailović
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  3. Branko Malešević
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Corresponding author

Correspondence to Biljana Mihailović .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Department of Telecommunications and Information Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K. T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Jerković, V.M., Mihailović, B., Malešević, B. (2018). A New Method for Solving Square Fuzzy Linear Systems. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_25

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

  • eBook Packages: EngineeringEngineering (R0)

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