Fuzzy skeleton by influence zones---Application to interpolation between fuzzy sets

  • Authors:
  • Isabelle Bloch

  • Affiliations:
  • Ecole Nationale Supérieure des Télécommunications (TELECOM ParisTech), Signal and Image Processing Department, CNRS UMR 5141 LTCI, 46 rue Barrault, 75013 Paris, France

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2008

Quantified Score

Hi-index 0.20

Visualization

Abstract

This paper introduces a definition of influence zones for fuzzy sets. The notion of fuzzy skeleton by influence zones (SKIZ), or fuzzy generalized Voronoi@? diagram, is derived. These definitions are based on fuzzy dilations and their interpretations in terms of distances. As another contribution, we show how this notion can be used to define a fuzzy median set, and a series of fuzzy sets interpolating between two fuzzy sets.