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)
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
Subjects
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