Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-n-NLS

Reza Saadati; Tofigh Allahviranloo; Donal O’Regan; Fehaid Salem Alshammari

doi:10.3390/sym14091778

Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-n-NLS

Reza Saadati
, Tofigh Allahviranloo
, Donal O’Regan
, Fehaid Salem Alshammari

Mathematics

Iran University of Science and Technology
Istinye University
Imam Mohammad Ibn Saud Islamic University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

To study an uncertain case of a control problem, we consider the symmetric F-n-NLS which is induced by a dynamic norm inspired by a random norm, distribution functions, and fuzzy sets. In this space, we consider a random multi-valued equation containing a parameter and investigate existence, and unbounded continuity of the solution set of it. As an application of our results, we consider a control problem with multi-point boundary conditions and a second order derivative operator.

Original language	English
Article number	1778
Journal	Symmetry
Volume	14
Issue number	9
DOIs	https://doi.org/10.3390/sym14091778
Publication status	Published - Sep 2022

Keywords

fuzzy control problem
random multi-valued equation
random multi-valued operator

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10.3390/sym14091778

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abstract = "To study an uncertain case of a control problem, we consider the symmetric F-n-NLS which is induced by a dynamic norm inspired by a random norm, distribution functions, and fuzzy sets. In this space, we consider a random multi-valued equation containing a parameter and investigate existence, and unbounded continuity of the solution set of it. As an application of our results, we consider a control problem with multi-point boundary conditions and a second order derivative operator.",

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author = "Reza Saadati and Tofigh Allahviranloo and Donal O{\textquoteright}Regan and Alshammari, \{Fehaid Salem\}",

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N2 - To study an uncertain case of a control problem, we consider the symmetric F-n-NLS which is induced by a dynamic norm inspired by a random norm, distribution functions, and fuzzy sets. In this space, we consider a random multi-valued equation containing a parameter and investigate existence, and unbounded continuity of the solution set of it. As an application of our results, we consider a control problem with multi-point boundary conditions and a second order derivative operator.

AB - To study an uncertain case of a control problem, we consider the symmetric F-n-NLS which is induced by a dynamic norm inspired by a random norm, distribution functions, and fuzzy sets. In this space, we consider a random multi-valued equation containing a parameter and investigate existence, and unbounded continuity of the solution set of it. As an application of our results, we consider a control problem with multi-point boundary conditions and a second order derivative operator.

KW - fuzzy control problem

KW - random multi-valued equation

KW - random multi-valued operator

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Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-n-NLS

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Keywords

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