Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy

S. Stanimirović, Predrag; Ivanov, Branislav; Stanujkić, Dragiša; N. Katsikis, Vasilios; D. Mourtas, Spyridon; A. Kazakovtsev, Lev; Ahmad Edalatpanah, Seyyed

doi:10.3390/sym15010250

Article Metadata only M22

2023

S. Stanimirović, Predrag
Ivanov, Branislav
Stanujkić, Dragiša
N. Katsikis, Vasilios
D. Mourtas, Spyridon
A. Kazakovtsev, Lev
Ahmad Edalatpanah, Seyyed

MDPI, Switzerland

Symmetry

250

English

M22 - Paper in a prominent international journal

The influence of neutrosophy on many fields of science and technology, as well as its numerous applications, are evident. Our motivation is to apply neutrosophy for the first time in order to improve methods for solving unconstrained optimization. Particularly, in this research, we propose and investigate an improvement of line search methods for solving unconstrained nonlinear optimization models. The improvement is based on the application of symmetry involved in neutrosophic logic in determining appropriate step size for the class of descent direction methods. Theoretical analysis is performed to show the convergence of proposed iterations under the same conditions as for the related standard iterations. Mutual comparison and analysis of generated numerical results reveal better behavior of the suggested iterations compared with analogous available iterations considering the Dolan and Moré performance profiles and statistical ranking. Statistical comparison also reveals advantages of the neutrosophic improvements of the considered line search optimization methods.

unconstrained optimization, neutrosophic logic systems, gradient descent methods, convergence

DOI

10.3390/sym15010250

ISSN

2073-8994

URI

https://www.mdpi.com/2073-8994/15/1/250
https://repozitorijum.tfbor.bg.ac.rs/handle/...

Scopus

OpenCitations

dc.rights.license	CC-BY
dc.date.accessioned	2023-12-25T21:45:01Z
dc.date.available	2023-12-25T21:45:01Z
dc.date.issued	2023
dc.identifier.issn	2073-8994
dc.identifier.doi	10.3390/sym15010250
dc.identifier.uri	https://www.mdpi.com/2073-8994/15/1/250
dc.identifier.uri	https://repozitorijum.tfbor.bg.ac.rs/handle/123456789/764
dc.description.abstract	The influence of neutrosophy on many fields of science and technology, as well as its numerous applications, are evident. Our motivation is to apply neutrosophy for the first time in order to improve methods for solving unconstrained optimization. Particularly, in this research, we propose and investigate an improvement of line search methods for solving unconstrained nonlinear optimization models. The improvement is based on the application of symmetry involved in neutrosophic logic in determining appropriate step size for the class of descent direction methods. Theoretical analysis is performed to show the convergence of proposed iterations under the same conditions as for the related standard iterations. Mutual comparison and analysis of generated numerical results reveal better behavior of the suggested iterations compared with analogous available iterations considering the Dolan and Moré performance profiles and statistical ranking. Statistical comparison also reveals advantages of the neutrosophic improvements of the considered line search optimization methods.
dc.language.iso	en
dc.publisher	MDPI, Switzerland
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.source	Symmetry
dc.subject	unconstrained optimization
dc.subject	neutrosophic logic systems
dc.subject	gradient descent methods
dc.subject	convergence
dc.title	Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy
dc.type	article
dc.type.version	publishedVersion
dc.citation.volume	15
dc.citation.issue	1
dc.creator	S. Stanimirović, Predrag
dc.citation.spage	250
dc.citation.rank	M22
dc.creator	Ivanov, Branislav
dc.creator	Stanujkić, Dragiša
dc.creator	N. Katsikis, Vasilios
dc.creator	D. Mourtas, Spyridon
dc.creator	A. Kazakovtsev, Lev
dc.creator	Ahmad Edalatpanah, Seyyed


Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy	2