A convolution type inequality for fuzzy integrals

H. Román-Flores; A. Flores-Franulič; Y. Chalco-Cano

doi:10.1016/j.amc.2007.04.072

A convolution type inequality for fuzzy integrals

H. Román-Flores
, A. Flores-Franulič
, Y. Chalco-Cano

Departamento de Matemática

Universidad de Tarapacá

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

41 Citas (Scopus)

Resumen

In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:s {cauchy integral}₀¹ (1 - t)^{s - 1} g (t)^s d t ≥ fenced({cauchy integral}₀¹ g (t) d t)^s, where g : [0, 1] → [0, ∞) is a continuous and strictly decreasing function and s ≥ 2.

Idioma original	Inglés
Páginas (desde-hasta)	94-99
Número de páginas	6
Publicación	Applied Mathematics and Computation
Volumen	195
N.º	1
DOI	https://doi.org/10.1016/j.amc.2007.04.072
Estado	Publicada - 15 ene. 2008

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title = "A convolution type inequality for fuzzy integrals",

abstract = "In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:s \{cauchy integral\}01 (1 - t)s - 1 g (t)s d t ≥ fenced(\{cauchy integral\}01 g (t) d t)s, where g : [0, 1] → [0, ∞) is a continuous and strictly decreasing function and s ≥ 2.",

keywords = "Fuzzy measure, Monotone functions, Sugeno integral",

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AU - Román-Flores, H.

AU - Flores-Franulič, A.

AU - Chalco-Cano, Y.

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N2 - In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:s {cauchy integral}01 (1 - t)s - 1 g (t)s d t ≥ fenced({cauchy integral}01 g (t) d t)s, where g : [0, 1] → [0, ∞) is a continuous and strictly decreasing function and s ≥ 2.

AB - In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:s {cauchy integral}01 (1 - t)s - 1 g (t)s d t ≥ fenced({cauchy integral}01 g (t) d t)s, where g : [0, 1] → [0, ∞) is a continuous and strictly decreasing function and s ≥ 2.

KW - Fuzzy measure

KW - Monotone functions

KW - Sugeno integral

UR - https://www.scopus.com/pages/publications/36749027079

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DO - 10.1016/j.amc.2007.04.072

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JO - Applied Mathematics and Computation

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A convolution type inequality for fuzzy integrals

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