Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy
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Date
2023
Authors
S. Stanimirović, Predrag
Ivanov, Branislav
Stanujkić, Dragiša
N. Katsikis, Vasilios
D. Mourtas, Spyridon
A. Kazakovtsev, Lev
Ahmad Edalatpanah, Seyyed
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI, Switzerland
Source
Symmetry
Volume
15
Issue
1
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.
Description
Keywords
unconstrained optimization, neutrosophic logic systems, gradient descent methods, convergence
Citation
DOI
10.3390/sym15010250
Scopus
ISSN
2073-8994
ISBN
License
CC-BY