Scalar cardinalities for divisors of a fuzzy cardinality

• Autores: Jaume Casasnovas Casasnovas
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 9, Nº. 1, 2002, págs. 43-57
• Idioma: inglés
• Títulos paralelos:
  • Cardinalidades escalares para divisores de una cardinalidad difusa
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• Resumen

  • The cardinality of a finite fuzzy set can be defined as a scalar or a fuzzy quantity. The fuzzy cardinalities are represented by means the generalized natural numbers, where it is possible to define arithmetical operations, in particular the division by a natural number. The main result obtained in this paper is that, if determined conditions are assured, the scalar cardinality of a finite fuzzy set, B, whose fuzzy cardinality is a rational part of the fuzzy cardinality of another fuzzy set, A, is obtained by the same division of the scalar cardinality of A.