Interpreting membership functions: A constructive approach

  • Authors:
  • Vicenç Torra i Reventós

  • Affiliations:
  • -

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 1999

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Abstract

In this paper, we study the semantics of fuzzy sets. We show that fuzzy sets can be interpreted as the aggregation of a set of observations. We formalize this interpretation by means of the OWA and the WOWA operators. The introduction of the WOWA operator allows the user to weigh each observation.