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Invariants and Fuzzy Logic

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2773))

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Abstract

In this paper with the meta-theory based on modal logic, we study the possibility to build invariants in fuzzy logic. Every fuzzy expression will be compensated by other expressions so that to get a global expression which value is always true. The global expression takes the name of invariant because it always assumes true value also if the single components of the expression are fuzzy and they assume value between false and true. Key words: Fuzzy logic, meta-theory, modal logic, invariant, compensation, tautology.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università cattolica, via Trieste 17, 25128, Brescia, Italy

    Germano Resconi & Chiara Ratti

Authors
  1. Germano Resconi
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  2. Chiara Ratti
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Editor information

Editors and Affiliations

  1. Computing Laboratory, Oxford University, Parks Road, OXI 3QD, United Kingdom

    Vasile Palade

  2. Intelligent Systems and Signal Processing Labs, Moulsecoomb, University of Brighton, BN2 4GJ, Brighton, United Kingdom

    Robert J. Howlett

  3. Knowledge-Based Intelligent Engineering Systems Centre, Mawson Lakes, University of South Australia, 5095, Adelaide, SA, Australia

    Lakhmi Jain

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© 2003 Springer-Verlag Berlin Heidelberg

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Resconi, G., Ratti, C. (2003). Invariants and Fuzzy Logic. In: Palade, V., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2003. Lecture Notes in Computer Science(), vol 2773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45224-9_30

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  • DOI: https://doi.org/10.1007/978-3-540-45224-9_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40803-1

  • Online ISBN: 978-3-540-45224-9

  • eBook Packages: Springer Book Archive

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