Title
A note on fuzzy integral inequality of Stolarsky type
Date Issued
15 February 2008
Access level
metadata only access
Resource Type
journal article
Author(s)
Flores-Franulič A.
Román-Flores H.
Universidad de Tarapacá
Abstract
In this paper, we prove a Stolarsky type inequality for fuzzy integrals. More precisely, we show that:{cauchy integral}01 f fenced(xfrac(1, a + b)) d μ ≥ fenced({cauchy integral}01 f fenced(xfrac(1, a)) d μ) fenced({cauchy integral}01 f fenced(xfrac(1, b)) d μ),where a, b > 0, f : [0, 1] → [0, 1] is a continuous and strictly monotone function and μ is the Lebesgue measure on R. © 2007 Elsevier Inc. All rights reserved.
Start page
55
End page
59
Volume
196
Issue
1
Language
English
OCDE Knowledge area
Matemáticas
Scopus EID
2-s2.0-38049084700
Source
Applied Mathematics and Computation
ISSN of the container
00963003
Sponsor(s)
This work was partially supported by Conicyt-Chile through Projects Fondecyt 1040303 and 1061244.
Sources of information: Directorio de Producción Científica Scopus