Title
Gauss-type integral inequalities for interval and fuzzy-interval-valued functions
Date Issued
01 June 2019
Access level
open access
Resource Type
journal article
Author(s)
Costa T.M.
Silva G.N.
CHALCO CANO, YURILEV
Román-Flores H.
Universidad de Tarapacá
Publisher(s)
Springer Science and Business Media, LLC
Abstract
This study presents new Gauss’s inequalities for interval and fuzzy-interval-valued functions using the Aumann’s and Kaleva’s improper integrals. The inequality for interval-valued functions is based on the Kulisch–Miranker order relation. The order relation given in the fuzzy-interval space is defined level-wise through the Kulisch–Miranker order, and by means of this the inequality for fuzzy-interval-valued functions is interpreted.
Volume
38
Issue
2
Language
English
OCDE Knowledge area
Matemáticas
Subjects
DOI
10.1007/s40314-019-0836-2
Scopus EID
2-s2.0-85063193602
Source
Computational and Applied Mathematics
ISSN of the container
22383603
Sponsor(s)
Acknowledgements The first author has been supported by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior-Brasil (CAPES/UFPA) Finance Code 001. The second author has been supported by the Center for Mathematicas Sciences Applied in Industry—CeMEAI-CEPID through Sao Paulo Research Foundation - FAPESP Grant number 13/07375-0. The third and fourth authors have been supported by Conicyt-Chile via Projects Fondecyt 1151154 and Fondecyt 1151159, respectively.
Sources of information: Directorio de Producción Científica Scopus