On the symmetric difference of fuzzy sets

  • Authors:

  • Claudi Alsina;Enric Trillas

  • Affiliations:

  • Secció de Matemàtiques i Informàtica, Dept. d'Estructures a l'Arquitectura, Univ. Politècnica de Catalunya, Spain;Depto. de Inteligencia Artificial, Univ. Politécnica de Madrid, Spain

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2005

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Abstract

By means of techniques arising either in the field of functional equations or in lattice theory we study some models for the symmetric difference of fuzzy sets when mixing connectives and in a single theory. In doing this some new functional expressions are obtained and some standard models used in the literature are reviewed.