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Neutrosophic Linear Space Theory

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Book Synopsis Neutrosophic Linear Space Theory by : Rozina Ali

Download or read book Neutrosophic Linear Space Theory written by Rozina Ali. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we give a review about neutrosophic linear spaces and their properties.

Neutrosophic Soft Normed Linear Spaces

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Genre : Mathematics
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Book Synopsis Neutrosophic Soft Normed Linear Spaces by : Tuhin Bera

Download or read book Neutrosophic Soft Normed Linear Spaces written by Tuhin Bera. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the neutrosophic norm has been defined on a soft linear space which is hereafter called neutrosophic soft normed linear space (NSNLS). Several characteristics of sequences defined in this space have been investigated here. Moreover, the notion of convexity and the metric in NSNLS have been introduced and some of their properties are established.

Neutrosophic Triplet m-Banach Spaces

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Release : 2020-12-01
Genre : Mathematics
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Book Synopsis Neutrosophic Triplet m-Banach Spaces by : Abdullah Kargın

Download or read book Neutrosophic Triplet m-Banach Spaces written by Abdullah Kargın. This book was released on 2020-12-01. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic triplet theory has an important place in neutrosophic theory. Since the neutrosophic triplet set (Nts), which have the feature of having multiple unit elements, have different units than the classical unit, they have more features than the classical set. Also, Banach spaces are complete normed vector space defined by real and complex numbers that are studied historically in functional analysis. Thus, normed space and Banach space have an important place in functional analysis. In this article, neutrosophic triplet m-Banach spaces (NtmBs) are firstly obtained. Then, some definitions and examples are given for NtmBs. Based on these definitions, new theorems are given and proved. In addition, it is shown that NtmBs is different from neutrosophic triplet Banach space (NtBs). Furthermore, it is shown that relationship between NtmBs and NtBs. So, we added a new structure to functional analysis and neutrosophic triplet theory.

On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations

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Book Synopsis On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations by : Mohammad Abobala

Download or read book On the Representation of Neutrosophic Matrices by Neutrosophic Linear Transformations written by Mohammad Abobala. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: 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.

n-Refined Neutrosophic Vector Spaces

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Book Synopsis n-Refined Neutrosophic Vector Spaces by : Florentin Smarandache

Download or read book n-Refined Neutrosophic Vector Spaces written by Florentin Smarandache. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: This paper introduces the concept of n-refined neutrosophic vector spaces as a generalization of neutrosophic vector spaces, and it studies elementary properties of them. Also, this work discusses some corresponding concepts such as weak/strong n-refined neutrosophic vector spaces, and n-refined neutrosophic homomorphisms.

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