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Relevant bibliographies by topics / Neutrosophic vector spaces

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Journal articles

Academic literature on the topic 'Neutrosophic vector spaces'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic vector spaces"

1

Kungumaraj, E., E. Lathanayagam, Utpal Saikia, et al. "Neutrosophic Topological Vector Spaces and its Properties." International Journal of Neutrosophic Science 23, no. 2 (2024): 63–76. http://dx.doi.org/10.54216/ijns.230206.

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The algebraic structures Group, Ring, Field and Vector spaces are important innovations in Mathematics. Most of the theoretical concepts of Mathematics are based on the theorems related to these algebraic structures. Initially many mathematicians developed theorems related to all these algebraic structures. In 20th century most of the researchers introduced the theorems on the algebraic structures with Fuzzy and Intuitionistic fuzzy sets. Recently in 21st century the researchers concentrated on Neutrosophic sets and introduced the algebraic structures like Neutrosophic Group, Neutrosophic Ring

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2

Khan, Vakeel A., Ayhan Esi, Mobeen Ahmad, and Mohammad Daud Khan. "Continuous and bounded linear operators in neutrosophic normed spaces." Journal of Intelligent & Fuzzy Systems 40, no. 6 (2021): 11063–70. http://dx.doi.org/10.3233/jifs-202189.

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In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded linear operators from neutrosophic normed spaces into another are vector spaces.

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3

W.B., Vasantha Kandasamy, Ilanthenral Kandasamy, and Florentin Smarandache. "Neutrosophic Quadruple Vector Spaces and Their Properties." Mathematics 7, no. 8 (2019): 758. http://dx.doi.org/10.3390/math7080758.

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In this paper authors for the first time introduce the concept of Neutrosophic Quadruple (NQ) vector spaces and Neutrosophic Quadruple linear algebras and study their properties. Most of the properties of vector spaces are true in case of Neutrosophic Quadruple vector spaces. Two vital observations are, all quadruple vector spaces are of dimension four, be it defined over the field of reals R or the field of complex numbers C or the finite field of characteristic p, Z p ; p a prime. Secondly all of them are distinct and none of them satisfy the classical property of finite dimensional vector s

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4

Malath., F. Aswad. "n-Cyclic Refined Neutrosophic Vector Spaces and Matrices." Neutrosophic Knowledge 3, no. 2 (2021): 6–13. https://doi.org/10.5281/zenodo.5507528.

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This paper is dedicated to study for the first time the concept of n-cyclic refined neutrosophic vector space as a direct application of n-cyclic refined neutrosophic sets. Also, It presents some elementary properties of these spaces such as homomorphisms and subspaces. On the other hand, this work defines n-cyclic refined neutrosophic real matrices, and illustrates some examples to clarify these structures.

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5

J., J., J. Aldring, S. John Borg, and D. Ajay. "Extended Refined Neutrosophic Vector Spaces, Subspaces and their Application." International Journal of Neutrosophic Science 26, no. 1 (2025): 40–54. https://doi.org/10.54216/ijns.260104.

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The objective of this paper is to present a perspective of Refined Neutrosophic Vector Space (r-NVS), Sub spaces and some basic operations on Refined Neutrosophic Sets such as Algebraic sum and Algebraic product. Further some basic propositions, lemma and examples are presented. Finally an application on Refined Neutrosophic Vector Space is presented in the field of e-Commerce buyer oriented product (Smart Phones) ranking to illustrate the advantage of representing r-NVS.

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6

Celik, Mehmet, and Necati Olgun. "On The Classification of Neutrosophic Complex Inner Product Spaces." Galoitica: Journal of Mathematical Structures and Applications 2, no. 1 (2022): 29–32. http://dx.doi.org/10.54216/gjmsa.020104.

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The objective of this paper is to study the neutrosophic complex inner product spaces over neutrosophic complex field C(I). Also, it determines the necessary and sufficient condition of a neutrosophic complex vector space to be a complex inner product space by using semi module isomorphisms.

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7

Al-Basri, Fatma, and Asawer Khdeidan. "Convergence of Filters on Bornological Vector Spaces and Neutrosophic Filters." International Journal of Neutrosophic Science 24, no. 4 (2024): 126–32. http://dx.doi.org/10.54216/ijns.240409.

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In this research, we construct new type of convergence of bornological vector spaces called convergence of filters through using conception bounded sets. As well, we have considered several characteristics of these concepts like Fréchet filter associated with sequence, filter that has a unique limit and ultra-filter which is very useful in the study of neutrosophic topological spaces and neutrosophic filters.

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8

Salman, Nabil Khuder, Bolívar Villalta Jadan, and Marcos Lalama Flores. "On n-Refined Neutrosophic Vector Spaces For Some Special Values 3≤ n ≤6." International Journal of Neutrosophic Science 23, no. 2 (2024): 08–15. http://dx.doi.org/10.54216/ijns.230201.

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This work is dedicated to study some different types of n-refined neutrosophic vector spaces for different values of n between 3 and 6. Where we present some related algebraic concepts such as 3-refined neutrosophic homomorphism, 4-refined neutrosophic homomorphism, 5-refined neutrosophic homomorphism, and 6-refined neutrosophic homomorphism. Also, we provide some theorems to clarify the algebraic behaviour of 3-refined, 4-refined, 5-refined, and 6-refined neutrosophic subspaces.

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9

Abobala, Mohammad. "On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations." Journal of Mathematics 2021 (February 24, 2021): 1–5. http://dx.doi.org/10.1155/2021/5591576.

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The objective of this paper is to study the representation of neutrosophic matrices defined over a neutrosophic field by neutrosophic linear transformations between neutrosophic vector spaces, where it proves that every neutrosophic matrix can be represented uniquely by a neutrosophic linear transformation. Also, this work proves that every neutrosophic linear transformation must be an AH-linear transformation; i.e., it can be represented by classical linear transformations.

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10

Şahin, Mehmet, and Abdullah Kargın. "Neutrosophic triplet normed space." Open Physics 15, no. 1 (2017): 697–704. http://dx.doi.org/10.1515/phys-2017-0082.

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AbstractIn this paper; new properties for neutrosophic triplet groups are introduced. A notion of neutrosophic triplet metric space is given and properties of neutrosophic triplet metric spaces are studied. Neutrosophic triplet vector space and neutrosophic triplet normed space are also studied and some of their properties are given. Furthermore, we also show that these neutrosophic triplet notionsare different from the classical notions.

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