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On the Relationship Between the Quantifier Threshold and OWA Operators

  • Luigi Troiano
  • Ronald R. Yager
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3885)

Abstract

The OWA weighting vector and the fuzzy quantifiers are strictly related. An intuitive way for shaping a monotonic quantifier, is by means of the threshold that makes a separation between the regions of what is satisfactory and what is not. Therefore, the characteristics of a threshold can be directly related to the OWA weighting vector and to its metrics: the attitudinal character and the entropy (or dispersion). Generally these two metrics are supposed to be independent, although some limitations in their value come when they are considered jointly. In this paper we argue that these two metrics are strongly related by the definition of quantifier threshold, and we show how they can be used jointly to verify and validate a quantifier and its threshold.

Keywords

Piecewise Linear Aggregation Operator Ordered Weight Average Ordered Weight Average Operator Ordered Weight Average 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Luigi Troiano
    • 1
  • Ronald R. Yager
    • 2
  1. 1.RCOSTUniversity of SannioBeneventoItaly
  2. 2.Machine Intelligence InstituteIONA CollegeNew RochelleUSA

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