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

  • Ronald R. Yager
Reasoning Techniques Under Uncertainty
Part of the Lecture Notes in Computer Science book series (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. [1]
    Ginsberg, M.L., Nonmonotonic Reasoning, Morgan Kaufamnn: Los Altos, CA, 1987.Google Scholar
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    Zadeh, L.A., "Fuzzy Sets," Information and Control 8, 338–353, 1965.Google Scholar
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    Yager, R.R., "On a general class of fuzzy connectives," Fuzzy Sets and Systems 4, 235–242, 1980.Google Scholar
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    Yager, R.R., "A generalized view of non-monotonic knowledge: A set theoretic perspective," Int. J. of General Systems (To Appear)Google Scholar
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    Yager, R.R., "Using approximate reasoning to represent default," Artificial Intelligence 31, 99–112, 1987.Google Scholar
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    Yager, R.R., "Non-Monotonic set theoretic Operations," Tech. Report MII-805, Iona College.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • Ronald R. Yager
    • 1
  1. 1.Machine Intelligence InstituteIona CollegeNew RochelleUSA

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