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

Department of Mathematics

Universidade Federal do Pará
Universidade Estadual Paulista Júlio de Mesquita Filho
Universidad de Tarapacá

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

15 Scopus citations

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.

Original language	English
Article number	58
Journal	Computational and Applied Mathematics
Volume	38
Issue number	2
DOIs	https://doi.org/10.1007/s40314-019-0836-2
State	Published - 1 Jun 2019

Keywords

Fuzzy-interval-valued functions
Gauss’ inequality
Interval-valued functions

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10.1007/s40314-019-0836-2

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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",

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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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Keywords

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