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Data Mining, Rough Sets and Granular Computing pp 350–363Cite as

Multi-dimensional Aggregation of Fuzzy Numbers Through the Extension Principle

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 95))

Abstract

In this paper we propose the problem of obtaining a procedure to aggregate fuzzy numbers in such a way that the output is also a fuzzy number. To do this, we use the Zadeh’s Extension Principle applied to multi-dimensional numerical functions which satisfy certain conditions, obtaining multi-dimensional aggregation functions on the lattice of fuzzy numbers. Special attention is given to the case of trapezoidal fuzzy numbers.

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References

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Author information

Authors and Affiliations

  1. Dept. Matemàtiques i Informàtica, Universitat de les Illes Balears, 07071, Palma de Mallorca, Spain

    Gaspar Mayor & Jaume Suñer

  2. Area de Lenguajes y Sistemas Informáticos, Universidad de León, 24071, León, Spain

    Adolfo R. de Soto

  3. Dpto. Inteligencia Artificial, Universidad Politécnica de Madrid Campus de Montegancedo, 28660, Boadilla del Monte, Madrid, Spain

    Enric Trillas

Authors
  1. Gaspar Mayor
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  2. Adolfo R. de Soto
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  3. Jaume Suñer
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  4. Enric Trillas
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science, San Jose State University The Metropolitan University of Silicon Valley, One Washington Square, 95192-0103, San Jose, CA, USA

    Tsau Young Lin

  2. Department of Computer Science, University of Regina, S4S 0A2, Regina, Saskatchewan, Canada

    Yiyu Y. Yao

  3. Computer Science Division and Electronics Research Laboratory Department of Electrical and Electronics, University of California Berkeley Initiative in Soft Computing (BISC), 94720-1776, Berkeley, CA, USA

    Lotfi A. Zadeh

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© 2002 Springer-Verlag Berlin Heidelberg

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Mayor, G., de Soto, A.R., Suñer, J., Trillas, E. (2002). Multi-dimensional Aggregation of Fuzzy Numbers Through the Extension Principle. In: Lin, T.Y., Yao, Y.Y., Zadeh, L.A. (eds) Data Mining, Rough Sets and Granular Computing. Studies in Fuzziness and Soft Computing, vol 95. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1791-1_17

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  • DOI: https://doi.org/10.1007/978-3-7908-1791-1_17

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-2508-4

  • Online ISBN: 978-3-7908-1791-1

  • eBook Packages: Springer Book Archive

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