A new type of approximation for fuzzy intervals

Y. Chalco-Cano; H. Román-Flores; Fernando Gomide

doi:10.1016/j.fss.2007.12.025

A new type of approximation for fuzzy intervals

Y. Chalco-Cano
, H. Román-Flores
, Fernando Gomide

Departamento de Matemática

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

8 Citas (Scopus)

Resumen

This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

Idioma original	Inglés
Páginas (desde-hasta)	1376-1383
Número de páginas	8
Publicación	Fuzzy Sets and Systems
Volumen	159
N.º	11
DOI	https://doi.org/10.1016/j.fss.2007.12.025
Estado	Publicada - 1 jun. 2008

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title = "A new type of approximation for fuzzy intervals",

abstract = "This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.",

keywords = "Approximation, Convolution of fuzzy sets, Differentiable fuzzy intervals, Fuzzy intervals",

author = "Y. Chalco-Cano and H. Rom{\'a}n-Flores and Fernando Gomide",

year = "2008",

month = jun,

day = "1",

doi = "10.1016/j.fss.2007.12.025",

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T1 - A new type of approximation for fuzzy intervals

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

AU - Gomide, Fernando

PY - 2008/6/1

Y1 - 2008/6/1

N2 - This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

AB - This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

KW - Approximation

KW - Convolution of fuzzy sets

KW - Differentiable fuzzy intervals

KW - Fuzzy intervals

UR - https://www.scopus.com/pages/publications/41549123278

U2 - 10.1016/j.fss.2007.12.025

DO - 10.1016/j.fss.2007.12.025

M3 - Article

AN - SCOPUS:41549123278

SN - 0165-0114

VL - 159

SP - 1376

EP - 1383

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 11

ER -

A new type of approximation for fuzzy intervals

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