Results 251 to 260 of about 1,975,121 (294)

Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions

Information Sciences, 2020
In this article, the notions of gH-directional derivative, gH-Gâteaux derivative and gH-Frechet derivative for interval-valued functions are proposed. The existence of gH-Frechet derivative is shown to imply the existence of gH-Gâteaux derivative and the
Debdas Ghosh, R. Chauhan, R. Mesiar, Amit Kumar Debnath   +3 more
semanticscholar   +1 more source

On interval-valued pre-(quasi-)overlap functions

Information Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yuntian, Hu, Bao Qing
openaire   +2 more sources

Generalized Hukuhara-Clarke Derivative of Interval-valued Functions and its Properties

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2020
This paper is devoted to the study of gH-Clarke derivative for interval-valued functions. To find properties of the gH-Clarke derivative, the concepts of limit superior, limit inferior, and sublinear interval-valued functions are studied in the sequel ...
R. Chauhan, Debdas Ghosh, J. Ramík, Amit Kumar Debnath   +3 more
semanticscholar   +1 more source

Generalized-Hukuhara-Gradient Efficient-Direction Method to Solve Optimization Problems with Interval-Valued Functions and Its Application in Least-Squares Problems

International Journal of Fuzzy Systems, 2020
This article proposes a general gH-gradient efficient-direction method and a W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}
Debdas Ghosh, Amit Kumar Debnath, R. Chauhan, O. Castillo   +3 more
semanticscholar   +1 more source

Fractional calculus for interval-valued functions

Fuzzy Sets and Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Wirtinger-type integral inequalities for interval-valued functions

Fuzzy Sets Syst., 2020
This study presents some Wirtinger-type integral inequalities for interval-valued functions by means of the generalized Hukuhara differentiability and the Pompeiu-Hausdorff metric. These integral inequalities generalize their respective versions for real-
T. M. Costa, Y. Chalco-Cano, H. Román-Flores   +2 more
semanticscholar   +1 more source

Hausdorff continuous interval-valued functions and quasicontinuous functions

Positivity, 2010
A description of minimal upper semicontinuous compact convex nonempty valued mappings of a Baire Hausdorff topological space \(X\) to \(\mathbb R\) (Hausdorff interval-valued functions) in terms of equivalence classes of locally bounded quasicontinuous functions gives an order isomorphism.
openaire   +2 more sources

On Construction Methods of (Interval-Valued) General Grouping Functions

2022
Supported by CNPq (301618/2019-4, 305805/2021-5), FAPERGS (19/2551-0001660-3), Spanish Ministry Science and Tech. (TIN2016-77356-P, PID2019-108392GB I00 (MCIN/AEI/10.13039/501100011033)), Navarra Servicios y Tecnologías, S.A. (NASERTIC).
Graçaliz P. Dimuro, Tiago Asmus, Jocivania Pinheiro, Helida Santos, Eduardo Borges, Giancarlo Lucca, Iosu Rodriguez-Martinez, Radko Mesiar, Humberto Bustince   +8 more
openaire   +2 more sources

Algebra of generalized Hukuhara differentiable interval-valued functions: review and new properties

Fuzzy Sets Syst., 2019
This article deals with the algebra of gH-differentiable interval-valued functions. Specifically, we give conditions for the gH-differentiability of the sum and the gH-difference of two gH-differentiable interval-valued functions; we also consider the ...
Y. Chalco-Cano, Gino G. Maqui-Huamán, G. N. Silva, M. Jiménez-Gamero   +3 more
semanticscholar   +1 more source

Interval-valued functions in a quotient space

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
This article analyzes the quotient space of compact intervals of ℝ with respect to the family of symmetric intervals. We analyze some algebraic and topological properties of this quotient space. Since the space of compact intervals can be embed on this quotient space, we introduce a concept of differentiability for interval-valued functions and then ...
Elder J. Villamizar-Roa, Y. Chalco-Cano, H. Román-Flores   +2 more
openaire   +1 more source