Measuring incompatibility between Atanassov's intuitionistic fuzzy sets

  • Authors:
  • Elena E. Castiñeira;Susana Cubillo;Wilmer Montilla

  • Affiliations:
  • Dpto. Matemática Aplicada, Universidad Politécnica de Madrid (U.P.M.), 28660 Boadilla del Monte, Madrid, Spain;Dpto. Matemática Aplicada, Universidad Politécnica de Madrid (U.P.M.), 28660 Boadilla del Monte, Madrid, Spain;Área de Matemática, Universidad Nacional Abierta, Centro Local Barinas, 5201 Barinas, Venezuela

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

The aim of this paper is to establish an axiomatic definition of incompatibility measure in the framework of Atanassov's intuitionistic fuzzy sets and use geometrical methods to build some families of such incompatibility measures. First, we construct several functions to measure incompatibility for an intuitionistic t-norm that can be represented by an adequate t-norm and t-conorm. Additionally, we establish some relations between some particular cases of these functions. Similarly, we then obtain incompatibility measures for a family of non-representable intuitionistic t-norms.