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. |
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| 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] |
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| Database: | Engineering Source |
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