Some integral inequalities for fuzzy-interval-valued functions
type: Item
instance of: scholarly article
title: Some integral inequalities for fuzzy-interval-valued functions
zbMATH Open document ID: 1445.28022
author: T. M. Costa
author: Heriberto E. Román-Flores
published in: Information Sciences
publication date: 2020-07-16T00:00:00Z
full work available at URL: http://hdl.handle.net/10533/232503
review text: The paper offers an overview of Aumann integral inequalities for interval-valued functions, such as the interval Minkowski inequality, or interval Beckenbach inequality. Similarly, some Sugeno integral-based inequalities for non-negative real functions well known from the literature are added. The main results of the paper deal with fuzzy-interval-valued functions and are based on Aumann level integral, denoted by the authors as FA-integral (Fuzzy Aumann integral). They have proved related versions of Minkowski's and Beckenbach's FA-integral inequalities for fuzzy-interval-valued functions and exemplified these inequalities by some examples. Note also that their introduction of p-integrability for fuzzy-interval-valued functions considered in presented inequalities allows to introduce a new type of \(L_p\)-type fuzzy-intervals spaces.
Mathematics Subject Classification ID: 28E10
zbMATH DE Number: 7221545
zbMATH Keywords: fuzzy interval space
zbMATH Keywords: (FA)-integral
zbMATH Keywords: fuzzy Minkowski's inequality
zbMATH Keywords: fuzzy Beckenbach's inequality
reviewed by: Radko Mesiar
MaRDI profile type: Publication
OpenAlex ID: W2749947267
cites work: Jensen-type inequalities for Sugeno integral
cites work: New general extensions of Chebyshev type inequalities for Sugeno integrals
cites work: General Minkowski type inequalities for Sugeno integrals
cites work: Berwald type inequality for Sugeno integral
cites work: General Chebyshev type inequalities for universal integral
cites work: On Stolarsky inequality for Sugeno and Choquet integrals
cites work: Q3324260
cites work: Set-valued analysis
cites work: Integrals of set-valued functions
cites work: Mathematics of fuzzy sets and fuzzy logic
cites work: On the Minkowski-Hölder type inequalities for generalized Sugeno integrals with an application.
cites work: Chebyshev inequality for Sugeno integrals
cites work: Fritz Carlson's inequality for fuzzy integrals
cites work: Convex analysis and measurable multifunctions
cites work: \(s\)-convex fuzzy processes
cites work: Jensen's inequality type integral for fuzzy-interval-valued functions
cites work: Q2939143
cites work: Q4871309
cites work: A Chebyshev type inequality for fuzzy integrals
cites work: Markov type inequalities for fuzzy integrals
cites work: Elementary fuzzy calculus
cites work: Chebyshev type inequalities for general fuzzy integrals
cites work: Fuzzy differential equations
cites work: On the Jensen type inequality for generalized Sugeno integral
cites work: Integrals based on monotone set functions
cites work: Q3948528
cites work: Interval linear systems as a necessary step in fuzzy linear systems
cites work: General Chebyshev type inequalities for Sugeno integrals
cites work: Q3085441
cites work: Introduction to Interval Analysis
cites work: Q4091811
cites work: Q3157591
cites work: Fuzzy Chebyshev type inequality
cites work: An inequality related to Minkowski type for Sugeno integrals
cites work: Generalizations of Integral Inequalities for Integrals Based on Nonadditive Measures
cites work: Fuzzy random variables
cites work: Q5638112
cites work: A Jensen type inequality for fuzzy integrals
cites work: A convolution type inequality for fuzzy integrals
cites work: A Hardy-type inequality for fuzzy integrals
cites work: Some integral inequalities for interval-valued functions
cites work: Q4340161
cites work: Reversed version of a generalized sharp Hölder's inequality and its applications
cites work: Some inequalities and convergence theorems for Choquet integrals
cites work: Hölder type inequality for Sugeno integral
cites work: On Dresher's inequalities for width-integrals
DOI: 10.1016/J.INS.2017.08.055
description: scientific article; zbMATH DE number 7221545