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Translations, Multiplications, and Magnification of Generalized Neutrosophic Set on D-algebra: Visualization using MATLAB Algorithm.

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Title: Translations, Multiplications, and Magnification of Generalized Neutrosophic Set on D-algebra: Visualization using MATLAB Algorithm.
Authors: B., Satyanarayana1 drbsn63@yahoo.co.in, K., Madhavi2 kamidimadhavi7@gmail.com, Baji, Shake3 shakebaji6@gmail.com, K., Anjaneyulu Naik1 nelu.fuzzy@gmail.com
Source: IAENG International Journal of Applied Mathematics. Oct2026, Vol. 56 Issue 10, p4522-4544. 23p.
Subjects: Multiplication, MatLab (Computer software), Mathematical mappings, Magnification (Optics), Scientific visualization, Algebra
Abstract: In this article, we introduce the notions of generalized neutrosophic translation, generalized neutrosophic multiplication, and generalized neutrosophic magnified translation of generalized neutrosophic sets. We apply these concepts to both d-subalgebras and d-ideals of d-algebras and provide illustrative examples to elucidate the developed theoretical results. We present a detailed MATLAB algorithm to visualize the membership degrees associated with translations and multiplications of generalized neutrosophic sets. We establish that the intersection of any two generalized neutrosophic d-subalgebras (d-ideals) remains invariant under translation and multiplication. Furthermore, we prove that the preimage of a generalized neutrosophic translation (multiplication) d-subalgebra (d-ideal) under a homomorphism, as well as the image of a generalized neutrosophic translation (or multiplication) d-subalgebra (dideal) under an epimorphism, remains a generalized neutrosophic translation (multiplication) d-subalgebra (d-ideal). We investigate the relationships between these concepts and analyze their characteristics. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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An: 197581651
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  Data: Translations, Multiplications, and Magnification of Generalized Neutrosophic Set on D-algebra: Visualization using MATLAB Algorithm.
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Oct2026, Vol. 56 Issue 10, p4522-4544. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink><br /><searchLink fieldCode="DE" term="%22MatLab+%28Computer+software%29%22">MatLab (Computer software)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+mappings%22">Mathematical mappings</searchLink><br /><searchLink fieldCode="DE" term="%22Magnification+%28Optics%29%22">Magnification (Optics)</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+visualization%22">Scientific visualization</searchLink><br /><searchLink fieldCode="DE" term="%22Algebra%22">Algebra</searchLink>
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  Data: In this article, we introduce the notions of generalized neutrosophic translation, generalized neutrosophic multiplication, and generalized neutrosophic magnified translation of generalized neutrosophic sets. We apply these concepts to both d-subalgebras and d-ideals of d-algebras and provide illustrative examples to elucidate the developed theoretical results. We present a detailed MATLAB algorithm to visualize the membership degrees associated with translations and multiplications of generalized neutrosophic sets. We establish that the intersection of any two generalized neutrosophic d-subalgebras (d-ideals) remains invariant under translation and multiplication. Furthermore, we prove that the preimage of a generalized neutrosophic translation (multiplication) d-subalgebra (d-ideal) under a homomorphism, as well as the image of a generalized neutrosophic translation (or multiplication) d-subalgebra (dideal) under an epimorphism, remains a generalized neutrosophic translation (multiplication) d-subalgebra (d-ideal). We investigate the relationships between these concepts and analyze their characteristics. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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      – SubjectFull: Mathematical mappings
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              Text: Oct2026
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