# Scalar cardinalities for divisors of a fuzzy cardinality.

Mathware and Soft Computing (2002)

- Volume: 9, Issue: 1, page 43-57
- ISSN: 1134-5632

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topCasasnovas Casasnovas, Juan. "Scalar cardinalities for divisors of a fuzzy cardinality.." Mathware and Soft Computing 9.1 (2002): 43-57. <http://eudml.org/doc/39233>.

@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 -

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