Gauss-type integral inequalities for interval and fuzzy-interval-valued functions

T. M. Costa; G. N. Silva; Y. Chalco-Cano; H. Román-Flores

doi:10.1007/s40314-019-0836-2

Gauss-type integral inequalities for interval and fuzzy-interval-valued functions

T. M. Costa
, G. N. Silva
, Y. Chalco-Cano
, H. Román-Flores

Departamento de Matemática

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

15 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Número de artículo	58
Publicación	Computational and Applied Mathematics
Volumen	38
N.º	2
DOI	https://doi.org/10.1007/s40314-019-0836-2
Estado	Publicada - 1 jun. 2019

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title = "Gauss-type integral inequalities for interval and fuzzy-interval-valued functions",

abstract = "This study presents new Gauss{\textquoteright}s inequalities for interval and fuzzy-interval-valued functions using the Aumann{\textquoteright}s and Kaleva{\textquoteright}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.",

keywords = "Fuzzy-interval-valued functions, Gauss{\textquoteright} inequality, Interval-valued functions",

author = "Costa, \{T. M.\} and Silva, \{G. N.\} and Y. Chalco-Cano and H. Rom{\'a}n-Flores",

note = "Publisher Copyright: {\textcopyright} 2019, SBMAC - Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional.",

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doi = "10.1007/s40314-019-0836-2",

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TY - JOUR

T1 - Gauss-type integral inequalities for interval and fuzzy-interval-valued functions

AU - Costa, T. M.

AU - Silva, G. N.

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

KW - Fuzzy-interval-valued functions

KW - Gauss’ inequality

KW - Interval-valued functions

UR - https://www.scopus.com/pages/publications/85063193602

U2 - 10.1007/s40314-019-0836-2

DO - 10.1007/s40314-019-0836-2

M3 - Article

AN - SCOPUS:85063193602

SN - 2238-3603

VL - 38

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 2

M1 - 58

ER -

Gauss-type integral inequalities for interval and fuzzy-interval-valued functions

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