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

Department of Mathematics

Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

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.

Original language	English
Pages (from-to)	94-99
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	195
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.04.072
State	Published - 15 Jan 2008

Keywords

Fuzzy measure
Monotone functions
Sugeno integral

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10.1016/j.amc.2007.04.072

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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.",

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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

M3 - Article

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VL - 195

SP - 94

EP - 99

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

A convolution type inequality for fuzzy integrals

Abstract

Keywords

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