Graded sets, points and numbers

• Autores: José A. Herencia
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 5, Nº. 2-3, 1998, págs. 189-199
• Idioma: inglés
• Títulos paralelos:
  • Conjuntos graduados, puntos y números
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of a-cuts of a fuzzy set. It is also considered the corresponding extensions of the concepts of a point and of a real number (again on the analogy of the fuzzy case). These new graded concepts avoid the disadvantages pointed out by Gerla (for the fuzzy points) and by Kaleva and Seikkala (for the convergence of sequences of fuzzy numbers).