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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 1988: Uncertainty and Intelligent Systems pp 25–32Cite as

Inference via belief qualified if — Then rules based on compatibility relations and possibility theory

  • Fuzzy Mathematics
  • Conference paper
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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 313))

Abstract

We discuss first the representation of IF A THEN B rules in which the primary and secondary variables, A and B, take on values in some sets of values (single values as special cases). We propose the use of compatibility relations. We assume that with each rule a degree of belief as to its validity is associated. Second, we discuss inference in the sense that knowing a possibility distribution on the values of A, and a compatibility relation representing IF A THEN B, with its degree of belief, we seek an induced possibility distribution on the values of B.

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Author information

Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

  2. Institute of Informatics, University of Trento, Via Verdi 26, 38100, Trento, Italy

    Mario Fedrizzi

Authors
  1. Janusz Kacprzyk
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  2. Mario Fedrizzi
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Editor information

B. Bouchon L. Saitta R. R. Yager

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© 1988 Springer-Verlag Berlin Heidelberg

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Kacprzyk, J., Fedrizzi, M. (1988). Inference via belief qualified if — Then rules based on compatibility relations and possibility theory. In: Bouchon, B., Saitta, L., Yager, R.R. (eds) Uncertainty and Intelligent Systems. IPMU 1988. Lecture Notes in Computer Science, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19402-9_52

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  • DOI: https://doi.org/10.1007/3-540-19402-9_52

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19402-6

  • Online ISBN: 978-3-540-39255-2

  • eBook Packages: Springer Book Archive

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