From “and” to “or”

  • Thierry Arnould
  • Anca Ralescu
Logical Methods
Part of the Lecture Notes in Computer Science book series (LNCS, volume 682)


In this paper we consider the issue of aggregation of predicates. This issue appears especially in connection with fuzzy predicates. We give a probabilistic interpretation of an aggregation in terms of the possibility of a statement containing these predicates, and using “and”/“or” operators.


Probability Distribution Membership Function Membership Degree Aggregation Operator Conditional Probability Distribution 
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References and related bibliography

  1. 1.
    D. Dubois and H. Prade, “A Review of Fuzzy Sets Aggregation Connectives”, Information Sciences, (1985).Google Scholar
  2. 2.
    G. J. Klir and T. A. Folger, “Fuzzy sets, uncertainty and information”, Prentice Hall (1988).Google Scholar
  3. 3.
    A. Ralescu, “A note on rule interpretation in expert systems”, Information Sciences 38 (1986).Google Scholar
  4. 4.
    R. R. Yager, “On ordered weighted averaging aggregation operators in multicriteria decision making”, IEEE Transactions on Systems, Man and Cybernetics 18 (1988) 183–190.Google Scholar
  5. 5.
    L. A. Zadeh, “Fuzzy Sets as a basis for a theory of possibility”, Fuzzy Sets and Systems 1 (1978) 3–28.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Thierry Arnould
    • 1
  • Anca Ralescu
    • 1
  1. 1.Laboratory for International Fuzzy Engineering ResearchYokohamaJapan

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