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On Dominance and Dispersion of a Class of Weighting Lists

  • Tomasa Calvo
  • Javier Martín
  • Gaspar Mayor
  • Jaume Suñer
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 90)

Abstract

The class of weighting lists with a prefixed minimum and maximum values is studied. It is introduced the concept of degree of Dominance of a weighting list as a generalization of the degree of Orness. It is proved that, with good conditions, there always exist two unique lists with minimum and maximum dominance respectively. From the concepts of dominance and dispersion, it is solved the problem of obtaining the weighting list in the class considered here of maximum dispersion with a given degree of dominance.

Keywords

Aggregation Operator Ordered Weighted Average Mathematical Programming Problem Weighted Average Ordered Weighted Average Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Yager, R. R. (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans. Systems Man Cybernetics 18, 183–190MathSciNetzbMATHCrossRefGoogle Scholar
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    O’Hagan, M. (1990) Using maximum entropy-ordered averaging operator to construct a fuzzy neuron. Proceedings 24th Annual IEEE Asilomar Conf. on Signals, Systems and Computers. Pacific Grove. CA, 618–623Google Scholar
  3. 3.
    Carbonell M., Mas M., Mayor G. (1997) On a class of Monotonic Extended OWA Operators. Proceedings Sixth International Conference on Fuzzy Systems 3, 1695–1700CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Tomasa Calvo
    • 1
  • Javier Martín
    • 1
  • Gaspar Mayor
    • 1
  • Jaume Suñer
    • 1
  1. 1.Dept. of Mathematics and Computer ScienceUniversity of the Balearic IslandsPalma de MallorcaSpain

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