Convolution of Fuzzy Sets and Applications

H. Román-Flores; Y. Chalco-Cano; M. Rojas-Medar

doi:10.1016/S0898-1221(03)90215-X

Convolution of Fuzzy Sets and Applications

H. Román-Flores
, Y. Chalco-Cano
, M. Rojas-Medar

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

14 Citas (Scopus)

Resumen

The convolution of fuzzy sets and its application are discussed. The convolution proved the density of support Lipschitzian fuzzy sets with respect to the D-metric of the upper semicontinuous and normal sets. The connections between the convolution of fuzzy numbers and Choquet integration were also discussed.

Idioma original	Inglés
Páginas (desde-hasta)	1245-1251
Número de páginas	7
Publicación	Computers and Mathematics with Applications
Volumen	46
N.º	8-9
DOI	https://doi.org/10.1016/S0898-1221(03)90215-X
Estado	Publicada - 2003
Publicado de forma externa	Sí

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@article{073692088e11472894f70fdf43230e81,

title = "Convolution of Fuzzy Sets and Applications",

abstract = "The convolution of fuzzy sets and its application are discussed. The convolution proved the density of support Lipschitzian fuzzy sets with respect to the D-metric of the upper semicontinuous and normal sets. The connections between the convolution of fuzzy numbers and Choquet integration were also discussed.",

keywords = "Choquet's integrals, Convolution, Fuzzy sets, Hausdorff metric",

author = "H. Rom{\'a}n-Flores and Y. Chalco-Cano and M. Rojas-Medar",

year = "2003",

doi = "10.1016/S0898-1221(03)90215-X",

language = "English",

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journal = "Computers and Mathematics with Applications",

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TY - JOUR

T1 - Convolution of Fuzzy Sets and Applications

AU - Román-Flores, H.

AU - Chalco-Cano, Y.

AU - Rojas-Medar, M.

PY - 2003

Y1 - 2003

N2 - The convolution of fuzzy sets and its application are discussed. The convolution proved the density of support Lipschitzian fuzzy sets with respect to the D-metric of the upper semicontinuous and normal sets. The connections between the convolution of fuzzy numbers and Choquet integration were also discussed.

AB - The convolution of fuzzy sets and its application are discussed. The convolution proved the density of support Lipschitzian fuzzy sets with respect to the D-metric of the upper semicontinuous and normal sets. The connections between the convolution of fuzzy numbers and Choquet integration were also discussed.

KW - Choquet's integrals

KW - Convolution

KW - Fuzzy sets

KW - Hausdorff metric

UR - https://www.scopus.com/pages/publications/0345328094

U2 - 10.1016/S0898-1221(03)90215-X

DO - 10.1016/S0898-1221(03)90215-X

M3 - Article

AN - SCOPUS:0345328094

SN - 0898-1221

VL - 46

SP - 1245

EP - 1251

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 8-9

ER -

Convolution of Fuzzy Sets and Applications

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