NeutroAlgebra of Neutrosophic Triplets

2020-12-01 Mathematics

Author : Vasantha Kandasamy
Release : 2020-12-01
Genre : Mathematics
Kind : eBook
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Book Synopsis NeutroAlgebra of Neutrosophic Triplets by : Vasantha Kandasamy

Download or read book NeutroAlgebra of Neutrosophic Triplets written by Vasantha Kandasamy. This book was released on 2020-12-01. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, authors define the NeutroAlgebra of neutrosophic triplets groups. We prove the existence theorem for NeutroAlgebra of neutrosophic triplet groups. Several open problems are proposed. Further, the NeutroAlgebras of extended neutrosophic triplet groups have been obtained.

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

Mathematics

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

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II written by Florentin Smarandache. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Neutrosophic Triplet of BI-algebras

2020-10-01 Mathematics

Author : Akbar Rezaei
Release : 2020-10-01
Genre : Mathematics
Kind : eBook
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Book Synopsis The Neutrosophic Triplet of BI-algebras by : Akbar Rezaei

Download or read book The Neutrosophic Triplet of BI-algebras written by Akbar Rezaei. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the concepts of a Neutro-𝐵𝐼-algebra and Anti-𝐵𝐼-algebra are introduced, and some related properties are investigated. We show that the class of Neutro-𝐵𝐼-algebra is an alternative of the class of 𝐵𝐼-algebras.

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

2019-04-04 Mathematics

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

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Book Synopsis Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets by : Florentin Smarandache

Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache. This book was released on 2019-04-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Neutrosophic Triplet of 𝑩𝑰-algebras

2020-05-12 Antiques & Collectibles

Author : Akbar Rezaei
Release : 2020-05-12
Genre : Antiques & Collectibles
Kind : eBook
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Book Synopsis The Neutrosophic Triplet of 𝑩𝑰-algebras by : Akbar Rezaei

Download or read book The Neutrosophic Triplet of 𝑩𝑰-algebras written by Akbar Rezaei. This book was released on 2020-05-12. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the concepts of a Neutro-𝐵𝐼-algebra and Anti-𝐵𝐼-algebra are introduced, and some related properties are investigated. We show that the class of Neutro-𝐵𝐼-algebra is an alternative of the class of 𝐵𝐼-algebras.

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