The algebraic structure on the neutrosophic triplet set

S. Suryoto

Author : S. Suryoto
Release :
Genre : Mathematics
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Book Rating : /5 ( reviews)

The algebraic structure on the neutrosophic triplet set - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The algebraic structure on the neutrosophic triplet set write by S. Suryoto. This book was released on . The algebraic structure on the neutrosophic triplet set available in PDF, EPUB and Kindle. The notion of the neutrosophic triplet was introduced by Smarandache and Ali. This notion is based on the fundamental law of neutrosophy that for an idea X, we have neutral of X denoted as neut(X) and anti of X denoted as anti(X). This paper studied a neutrosophic triplet set which is a collection of all triple of three elements that satisfy certain properties with some binary operation. Also given some interesting properties related to them. Further, in this paper investigated that from the neutrosophic triplet group can construct a classical group under multiplicative operation for ℤ𝑛 , for some specific n. These neutrosophic triplet groups are built using only modulo integer 2p, with p is an odd prime or Cayley table.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

2019-04-04 Florentin Smarandache

Author : Florentin Smarandache
Release : 2019-04-04
Genre : Mathematics
Kind :
Book Rating : 757/5 ( reviews)

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets write by Florentin Smarandache. This book was released on 2019-04-04. Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets available in PDF, EPUB and Kindle. Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set. This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II

Florentin Smarandache

Author : Florentin Smarandache
Release :
Genre : Mathematics
Kind :
Book Rating : 765/5 ( reviews)

Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II write by Florentin Smarandache. This book was released on . Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II available in PDF, EPUB and Kindle. Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity (i.e., element, concept, idea, theory, logical proposition, etc.), is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor . Based on neutrosophy, the neutrosophic triplets were founded; they have a similar form: (x, neut(x), anti(x), that satisfy some axioms, for each element x in a given set. This book contains the successful invited submissions to a special issue of Symmetry, reporting on state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets, and their algebraic structures—that have been defined recently in 2016, but have gained interest from world researchers, and several papers have been published in first rank international journals.

Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field

Mumtaz Ali

Author : Mumtaz Ali
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Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field write by Mumtaz Ali. This book was released on . Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field available in PDF, EPUB and Kindle. Rings and fields are significant algebraic structures in algebra and both of them are based on the group structure. In this paper, we attempt to extend the notion of a neutrosophic triplet group to a neutrosophic triplet ring and a neutrosophic triplet field.

Study on the Algebraic Structure of Refined Neutrosophic Numbers

Qiaoyan Li

Author : Qiaoyan Li
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Genre : Mathematics
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Study on the Algebraic Structure of Refined Neutrosophic Numbers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Study on the Algebraic Structure of Refined Neutrosophic Numbers write by Qiaoyan Li . This book was released on . Study on the Algebraic Structure of Refined Neutrosophic Numbers available in PDF, EPUB and Kindle. This paper aims to explore the algebra structure of refined neutrosophic numbers. Firstly, the algebra structure of neutrosophic quadruple numbers on a general field is studied. Secondly, The addition operator and multiplication operator on refined neutrosophic numbers are proposed and the algebra structure is discussed. We reveal that the set of neutrosophic refined numbers with an additive operation is an abelian group and the set of neutrosophic refined numbers with a multiplication operation is a neutrosophic extended triplet group. Moreover, algorithms for solving the neutral element and opposite elements of each refined neutrosophic number are given.

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