Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

T. M. Costa; A. Flores-Franulič; Y. Chalco-Cano; I. Aguirre-Cipe

doi:10.1016/j.ins.2020.04.037

Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

T. M. Costa
, A. Flores-Franulič
, Y. Chalco-Cano
, I. Aguirre-Cipe

Department of Mathematics

Universidade Estadual Paulista Júlio de Mesquita Filho
Universidad de Tarapacá

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

8 Scopus citations

Abstract

This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.

Translated title of the contribution	Desigualdades de tipo Ostrowski para funciones de valores difusos y sus aplicaciones en la teoría de cuadratura
Original language	English
Pages (from-to)	101-115
Number of pages	15
Journal	Information Sciences
Volume	529
DOIs	https://doi.org/10.1016/j.ins.2020.04.037
State	Published - Aug 2020

Keywords

Fuzzy Ostrowski-type inequalities
Fuzzy numerical integration
Fuzzy-valued functions
Switching points

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10.1016/j.ins.2020.04.037

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title = "Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory",

abstract = "This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.",

keywords = "Fuzzy Ostrowski-type inequalities, Fuzzy numerical integration, Fuzzy-valued functions, Switching points, Integraci{\'o}n num{\'e}rica difusa, Desigualdades difusas de tipo Ostrowski, Funciones con valores difusos, Puntos de conmutaci{\'o}n",

author = "Costa, \{T. M.\} and A. Flores-Franuli{\v c} and Y. Chalco-Cano and I. Aguirre-Cipe",

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doi = "10.1016/j.ins.2020.04.037",

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volume = "529",

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T1 - Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

AU - Costa, T. M.

AU - Flores-Franulič, A.

AU - Chalco-Cano, Y.

AU - Aguirre-Cipe, I.

PY - 2020/8

Y1 - 2020/8

N2 - This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.

AB - This study provides a new characterization of the switching points for generalized Hukuhara differentiable fuzzy-valued functions. New results on generalized Hukuhara differential and integral calculus for fuzzy-valued functions are developed.Also some Ostrowski-type inequalities for fuzzy-valued functions are obtained, with which is formulated a new quadrature rules to deal with integral of fuzzy-valued functions and show that our results are better than previous ones. Moreover, numerical examples are provided in order to illustrate the applicability of the mathematical tools developed herein.

KW - Fuzzy Ostrowski-type inequalities

KW - Fuzzy numerical integration

KW - Fuzzy-valued functions

KW - Switching points

KW - Integración numérica difusa

KW - Desigualdades difusas de tipo Ostrowski

KW - Funciones con valores difusos

KW - Puntos de conmutación

UR - https://www.scopus.com/pages/publications/85083889611

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DO - 10.1016/j.ins.2020.04.037

M3 - Article

AN - SCOPUS:85083889611

SN - 0020-0255

VL - 529

SP - 101

EP - 115

JO - Information Sciences

JF - Information Sciences

ER -

Ostrowski-type inequalities for fuzzy-valued functions and its applications in quadrature theory

Abstract

Keywords

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