Graded sets, points and numbers.

José A. Herencia

Mathware and Soft Computing (1998)

  • Volume: 5, Issue: 2-3, page 189-199
  • ISSN: 1134-5632

Abstract

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The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of α-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).

How to cite

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Herencia, José A.. "Graded sets, points and numbers.." Mathware and Soft Computing 5.2-3 (1998): 189-199. <http://eudml.org/doc/39134>.

@article{Herencia1998,
abstract = {The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of α-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).},
author = {Herencia, José A.},
journal = {Mathware and Soft Computing},
keywords = {Lógica matemática; Lógica difusa; Conjunto de puntos fijos; Números reales; Modelos conceptuales; -cut; graded set; graded points; convergence of sequences of graded numbers},
language = {eng},
number = {2-3},
pages = {189-199},
title = {Graded sets, points and numbers.},
url = {http://eudml.org/doc/39134},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Herencia, José A.
TI - Graded sets, points and numbers.
JO - Mathware and Soft Computing
PY - 1998
VL - 5
IS - 2-3
SP - 189
EP - 199
AB - The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of α-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).
LA - eng
KW - Lógica matemática; Lógica difusa; Conjunto de puntos fijos; Números reales; Modelos conceptuales; -cut; graded set; graded points; convergence of sequences of graded numbers
UR - http://eudml.org/doc/39134
ER -

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