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Prioritized, non-pointwise, nonmonotonic intersection and union for commonsense reasoning

  • Reasoning Techniques Under Uncertainty
  • Conference paper
  • First Online:
Uncertainty and Intelligent Systems (IPMU 1988)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 313))

Abstract

We introduce an new operation called a non-monotonic intersection. This operation has significant applications in default and other commonsense reasoning systems. In addition to being non-monotonic this operator is not a pointwise operator. Futhermore it is neither commutative nor associative but rather supports a concept of priority amongst its arguments.

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References

  1. Ginsberg, M.L., Nonmonotonic Reasoning, Morgan Kaufamnn: Los Altos, CA, 1987.

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  3. Yager, R.R., "On a general class of fuzzy connectives," Fuzzy Sets and Systems 4, 235–242, 1980.

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  4. Yager, R.R., "A generalized view of non-monotonic knowledge: A set theoretic perspective," Int. J. of General Systems (To Appear)

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  5. Yager, R.R., "Using approximate reasoning to represent default," Artificial Intelligence 31, 99–112, 1987.

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  6. Yager, R.R., "Non-Monotonic set theoretic Operations," Tech. Report MII-805, Iona College.

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Authors and Affiliations

  1. Machine Intelligence Institute, Iona College, 10801, New Rochelle, New York, USA

    Ronald R. Yager

Authors
  1. Ronald R. Yager
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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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Yager, R.R. (1988). Prioritized, non-pointwise, nonmonotonic intersection and union for commonsense reasoning. 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_92

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  • DOI: https://doi.org/10.1007/3-540-19402-9_92

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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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