@article{CasasnovasCasasnovas2002,
abstract = {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.},
author = {Casasnovas Casasnovas, Juan},
journal = {Mathware and Soft Computing},
keywords = {Conjuntos difusos; Algebras difusas; Lenguaje natural; cardinality of fuzzy sets; fuzzy algebra; generalized natural numbers; natural language},
language = {eng},
number = {1},
pages = {43-57},
title = {Scalar cardinalities for divisors of a fuzzy cardinality.},
url = {http://eudml.org/doc/39233},
volume = {9},
year = {2002},
}
TY - JOUR
AU - Casasnovas Casasnovas, Juan
TI - Scalar cardinalities for divisors of a fuzzy cardinality.
JO - Mathware and Soft Computing
PY - 2002
VL - 9
IS - 1
SP - 43
EP - 57
AB - 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.
LA - eng
KW - Conjuntos difusos; Algebras difusas; Lenguaje natural; cardinality of fuzzy sets; fuzzy algebra; generalized natural numbers; natural language
UR - http://eudml.org/doc/39233
ER -
