Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy

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dc.citation.issue1
dc.citation.rankM22
dc.citation.spage250
dc.citation.volume15
dc.contributor.authorS. Stanimirović, Predrag
dc.contributor.authorIvanov, Branislav
dc.contributor.authorStanujkić, Dragiša
dc.contributor.authorN. Katsikis, Vasilios
dc.contributor.authorD. Mourtas, Spyridon
dc.contributor.authorA. Kazakovtsev, Lev
dc.contributor.authorAhmad Edalatpanah, Seyyed
dc.date.accessioned2023-12-25T21:45:01Z
dc.date.available2023-12-25T21:45:01Z
dc.date.issued2023
dc.description.abstractThe 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.identifier.doi10.3390/sym15010250
dc.identifier.issn2073-8994
dc.identifier.urihttps://www.mdpi.com/2073-8994/15/1/250
dc.identifier.urihttps://repozitorijum.tfbor.bg.ac.rs/handle/123456789/764
dc.language.isoen
dc.publisherMDPI, Switzerland
dc.rights.licenseCC-BY
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceSymmetry
dc.subjectunconstrained optimization
dc.subjectneutrosophic logic systems
dc.subjectgradient descent methods
dc.subjectconvergence
dc.titleImprovement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy
dc.typearticle
dc.type.versionpublishedVersion

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