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An essay on name and extension of rule-given properties

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Advances in Intelligent Computing — IPMU '94 (IPMU 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 945))

Abstract

In the crisp case, any non-empty set A of a universe X is a preordering's class under the material conditional →A. Then, the elements of A are to be considered as those of X satisfying the property of being the ”followers” of any a ε A; we could see A as a ”segment of the structure (X, →).

Based on this idea, it is studied the frequent case in which a vague or crisp predicate P is known through both a set of rules (representable by a fuzzy or crisp preorder) and by a crisp prototype. The paper shows how, on this hypothesis, the extension of P or the membership function of the (fuzzy or crisp, respectively) set labelled P is obtained.

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References

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Author information

Authors and Affiliations

  1. Dept. Inteligencia Artificial, U.P.M., Boadilla del Monte, 28600, Madrid, Spain

    Enric Trillas

  2. Dept. Matemática Aplicada, U.P.M., Boadilla del Monte, 28600, Madrid, Spain

    Susana Cubillo

  3. Dept. Dirección y Economía de la Empresa, U.L.E., 24071, León, Spain

    A. R. De Soto

Authors
  1. Enric Trillas
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  2. Susana Cubillo
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  3. A. R. De Soto
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1995 Springer-Verlag Berlin Heidelberg

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Trillas, E., Cubillo, S., De Soto, A.R. (1995). An essay on name and extension of rule-given properties. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035966

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  • DOI: https://doi.org/10.1007/BFb0035966

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60116-6

  • Online ISBN: 978-3-540-49443-0

  • eBook Packages: Springer Book Archive

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