Results 61 to 70 of about 1,042,198 (135)

The Investigation of Some Essential Concepts of Extended Fuzzy‐Valued Convex Functions and Their Applications

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo, M. R. Balooch Shahryari, O. Sedaghatfar, M. R. Shahriari, R. Saadati, S. Noeiaghdam, U. Fernandez-Gamiz, Ramin Ranjbarzadeh   +7 more
wiley   +1 more source

Fuzzy differential equations with interactive derivative

, 2017
CNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOIn this paper we introduce and study new concept of differentiability for fuzzy-set-valued functions.
Barros, Laécio Carvalho de, Pedro, Francielle Santo   +1 more
core   +1 more source

Interval-valued analysis of fractional analogues of linear Volterra integro-differential equations

Mathematical and Computer Modelling of Dynamical Systems
This study invokes the interval valued analysis of factional order linear Volterra integro-differential equations in Riemann Liouville senses. To validate the presented results, particular cases are discussed with graphical illustrations.
Saima Noureen, Anum Zehra, Ammara Nosheen, Khuram Ali Khan, Ndolane Sene   +4 more
doaj   +1 more source

Usage of the Fuzzy Adomian Decomposition Method for Solving Some Fuzzy Fractional Partial Differential Equations

Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.
In this study, we examine the numerical solutions of nonlinear fuzzy fractional partial differential equations under the Caputo derivative utilizing the technique of fuzzy Adomian decomposition. This technique is used as an alternative method for obtaining approximate fuzzy solutions to various types of fractional differential equations and also ...
Nagwa A. Saeed, Deepak B. Pachpatte, A. Ghareeb   +2 more
wiley   +1 more source

On a multivalued second order differential problem with Hukuhara derivative [PDF]

, 2008
Let \(K\) be a closed convex cone with the nonempty interior in a real Banach space and let \(cc(K)\) denote the family of all nonempty convex compact subsets of \(K\). Assume that continuous linear multifunctions \(H,\Psi : K \to cc(K)\) are given.
Magdalena Piszczek, Piszczek, M.
core   +2 more sources

A comparison index for interval ordering based on generalized Hukuhara difference [PDF]

, 2012
Interval methods is one option for managing uncertainty in optimization problems and in decision management. The precise numerical estimation of coefficients may be meaningless in real-world applications, because data sources are often uncertain, vague ...
STEFANINI, LUCIANO, GUERRA, MARIA LETIZIA, L. Stefanini   +2 more
core   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan, Waqar Afzal, Waqas Nazeer, Joshua Kiddy K. Asamoah, B. B. Upadhyay   +4 more
wiley   +1 more source

Hestenes–Stiefel-Type Conjugate Direction Algorithm for Interval-Valued Multiobjective Optimization Problems

Algorithms
This article investigates a class of interval-valued multiobjective optimization problems (IVMOPs). We define the Hestenes–Stiefel (HS)-type direction for the objective function of IVMOPs and establish that it has a descent property at noncritical points.
Rupesh Krishna Pandey, Balendu Bhooshan Upadhyay, Subham Poddar, Ioan Stancu-Minasian   +3 more
doaj   +1 more source

Quantum symmetric analysis of interval-valued mappings based on generalized Hukuhara differences

The primary aim of this investigation is to examine the quantum symmetric differentiability and anti-derivative charac-teristics of interval-valued (I.V.) mappings utilizing generalized Hukuhara differences. Initially, we present the concepts of the I.V.
Stoenoiu, CE, Awan, Muhammad Uzair, Dragomir, Sever S, Javed, Muhammad Zakria, Iluțiu-Varvara, DA, Jäntschi, L   +5 more
core   +1 more source

Finite-Difference Schemes for Interval Advection Equations Within a New Interval-Calculus Framework

Axioms
This paper focuses on three finite difference schemes for the interval advection equation based on a novel interval calculus framework. Different from classical interval arithmetic, this innovative framework equips the interval number space with a ...
Jiahui Wang, Guoju Ye, Wei Liu, Abdul Mateen, Ghada AlNemer   +4 more
doaj   +1 more source