Neutrosophic Lie Algebras

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Neutrosophic Lie Algebras

Author : Sebuhi Abdullayev
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Lie Algebras by : Sebuhi Abdullayev

Download or read book Neutrosophic Lie Algebras written by Sebuhi Abdullayev and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the concept of neutrosophic Lie subalgebras of a Lie algebra is introduced and investigate some of their properties are investigated. The Cartesian product of neutrosophic Lie subalgebras will be discussed. In particular, the homomorphisms of neutrosophic Lie algebras is introduced and investigated some of their properties.

Single-Valued Neutrosophic Lie Algebras

Author : Muhammad AKRAM
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis Single-Valued Neutrosophic Lie Algebras by : Muhammad AKRAM

Download or read book Single-Valued Neutrosophic Lie Algebras written by Muhammad AKRAM and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single-valued neutrosophic (SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We developthe concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals.

On Complex Neutrosophic Lie Algebras

Author : M. Parimala
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Complex Neutrosophic Lie Algebras by : M. Parimala

Download or read book On Complex Neutrosophic Lie Algebras written by M. Parimala and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex neutrosophic Lie subalgebras and complex neutrosophic ideals of Lie algebras are de ned in this paper. Each component in complex neutrosophic Lie algebra has magnitude and phase terms. Some characteristics of complex neutrosophic Lie subalgebras (ideals) and some of their operations like intersection and Cartesian product are also discussed.

Single-Valued Neutrosophic Lie Algebras

Author : Muhammad AKRAM
Publisher : Infinite Study
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4./5 ( download)

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Book Synopsis Single-Valued Neutrosophic Lie Algebras by : Muhammad AKRAM

Download or read book Single-Valued Neutrosophic Lie Algebras written by Muhammad AKRAM and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: A single-valued neutrosophic (SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quanti ed explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We develop the concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals.

Neutrosophic Set Theory Applied to UP-Algebras

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Set Theory Applied to UP-Algebras by : Metawee Songsaeng

Download or read book Neutrosophic Set Theory Applied to UP-Algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: The notions of neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be neutrosophic UP-subalgebras, neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, and neutrosophic strongly UP-ideals of UP-algebras are provided. Relations between neutrosophic UP-subalgebras (resp., neutrosophic near UP- lters, neutrosophic UP- lters, neutrosophic UP-ideals, neutrosophic strongly UP-ideals) and their level subsets are considered.

NeutroAlgebra Theory Volume I

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 219 pages
Book Rating : 4./5 ( download)

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Book Synopsis NeutroAlgebra Theory Volume I by : Florentin Smarandache

Download or read book NeutroAlgebra Theory Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on 2021-06-21 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of papers from multiple authors. In 2019 and 2020 Smarandache [1, 2, 3, 4] generalized the classical Algebraic Structures to NeutroAlgebraic Structures (or NeutroAlgebras) {whose operations and axioms are partially true, partially indeterminate, and partially false} as extensions of Partial Algebra, and to AntiAlgebraic Structures (or AntiAlgebras) {whose operations and axioms are totally false}. The NeutroAlgebras & AntiAlgebras are a new field of research, which is inspired from our real world. In classical algebraic structures, all axioms are 100%, and all operations are 100% well-defined, but in real life, in many cases these restrictions are too harsh, since in our world we have things that only partially verify some laws or some operations. Using the process of NeutroSophication of a classical algebraic structure we produce a NeutroAlgebra, while the process of AntiSophication of a classical algebraic structure produces an AntiAlgebra.

NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4./5 ( download)

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Book Synopsis NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS by : Metawee Songsaeng

Download or read book NEUTROSOPHIC SETS IN UP-ALGEBRAS BY MEANS OF INTERVAL-VALUED FUZZY SETS written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we introduce the notion of interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP-ideals) of UP-algebras, proved some results, and their generalizations. Furthermore, we discuss the relations between interval-valued neutrosophic UP-subalgebras (resp., interval-valued neutrosophic near UP- lters, interval-valued neutrosophic UP- lters, interval-valued neutrosophic UP-ideals, and interval-valued neutrosophic strong UP- ideals) and their level subsets.

Neutrosophic N-structures over UP-algebras

Author : Phattharaphon Rangsuk
Publisher : Infinite Study
ISBN 13 :
Total Pages : 41 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic N-structures over UP-algebras by : Phattharaphon Rangsuk

Download or read book Neutrosophic N-structures over UP-algebras written by Phattharaphon Rangsuk and published by Infinite Study. This book was released on with total page 41 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among many algebraic structures, algebras of logic form important class of algebras. Examples of these are BCK-algebras, BCI-algebras, BCH-algebras, KU-algebras [28], SU-algebras and others.

Neutrosophic Soft Topological K-Algebras

Author : Muhammad Akram
Publisher : Infinite Study
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Soft Topological K-Algebras by : Muhammad Akram

Download or read book Neutrosophic Soft Topological K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we propose the notion of single-valued neutrosophic soft topological K-algebras. We discuss certain concepts, including interior, closure, C5-connected, super connected, Compactness and Hausdorff in single valued neutrosophic soft topological K-algebras. We illustrate these concepts with examples and investigate some of their related properties. We also study image and pre-image of single-valued neutrosophic soft topologicalK-algebras.

Application of Neutrosophic Soft Sets to K-Algebras

Author : Muhammad Akram
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)

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Book Synopsis Application of Neutrosophic Soft Sets to K-Algebras by : Muhammad Akram

Download or read book Application of Neutrosophic Soft Sets to K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic sets and soft sets are two different mathematical tools for representing vagueness and uncertainty.We apply these models in combination to study vagueness and uncertainty in K-algebras. We introduce the notion of single-valued neutrosophic soft (SNS) K-algebras and investigate some of their properties. We establish the notion of (2, 2 _q)-single-valued neutrosophic soft K-algebras and describe some of their related properties. We also illustrate the concepts with numerical examples.

Neutrosophic Sets and Systems, vol. 51/2022

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 970 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, vol. 51/2022 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, vol. 51/2022 written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. This theory considers every notion or idea together with its opposite or negation and with their spectrum of neutralities in between them (i.e. notions or ideas supporting neither nor ). The and ideas together are referred to as . Neutrosophy is a generalization of Hegel's dialectics (the last one is based on and only). According to this theory every idea tends to be neutralized and balanced by and ideas - as a state of equilibrium. In a classical way , , are disjoint two by two. But, since in many cases the borders between notions are vague, imprecise, Sorites, it is possible that , , (and of course) have common parts two by two, or even all three of them as well. Neutrosophic Set and Neutrosophic Logic are generalizations of the fuzzy set and respectively fuzzy logic (especially of intuitionistic fuzzy set and respectively intuitionistic fuzzy logic).

NEUTROSOPHIC TRIPLET STRUCTURES, Volume I

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735954
Total Pages : 198 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis NEUTROSOPHIC TRIPLET STRUCTURES, Volume I by : Florentin Smarandache

Download or read book NEUTROSOPHIC TRIPLET STRUCTURES, Volume I written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, single valued neutrosophic rough set, bipolar neutrosophic set, single valued neutrosophic hesitant fuzzy set, etc. are proposed in the literature in a short period of time. Neutrosophic set has been an important tool in the application of various areas such as data mining, decision making, e-learning, engineering, medicine, social science, and some more.

Direct product of Neutrosophic INK-Algebras

Author : M. Kaviyarasu
Publisher : Infinite Study
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4./5 ( download)

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Book Synopsis Direct product of Neutrosophic INK-Algebras by : M. Kaviyarasu

Download or read book Direct product of Neutrosophic INK-Algebras written by M. Kaviyarasu and published by Infinite Study. This book was released on 2020-12-01 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems which show that there is some relation between these notions. Finally, we define the INK-subalgebra of INK-algebra and then we give related theorem about the relationship between their Images and direct product of neutrosophic INK-ideals.

Certain Notions of Neutrosophic Topological K-Algebras

Author : Muhammad Akram
Publisher : Infinite Study
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4./5 ( download)

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Book Synopsis Certain Notions of Neutrosophic Topological K-Algebras by : Muhammad Akram

Download or read book Certain Notions of Neutrosophic Topological K-Algebras written by Muhammad Akram and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of neutrosophic set from philosophical point of view was first considered bySm arandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuitionistic fuzzy sets. In this research article, we apply the notion of single-valued neutrosophic sets to K-algebras. We introduce the notion of single-valued neutrosophic topological K-algebras and investigate some of their properties. Further, we study certain properties, including C5-connected, super connected, compact and Hausdorff, of single-valued neutrosophic topological K-algebras. We also investigate the image and pre-image of single-valued neutrosophic topological K-algebras under homomorphism.

Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599735997
Total Pages : 200 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems: An International Book Series in Information Science and Engineering, vol. 25 / 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

A novel approach to neutrosophic sets in UP-algebras

Author : Metawee Songsaeng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4./5 ( download)

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Book Synopsis A novel approach to neutrosophic sets in UP-algebras by : Metawee Songsaeng

Download or read book A novel approach to neutrosophic sets in UP-algebras written by Metawee Songsaeng and published by Infinite Study. This book was released on with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the notions of special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are introduced, and several properties are investigated. Conditions for neutrosophic sets to be special neutrosophic UP-subalgebras, special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, and special neutrosophic strong UP-ideals of UP-algebras are provided. Relations between special neutrosophic UP-subalgebras (resp., special neutrosophic near UP-filters, special neutrosophic UP-filters, special neutrosophic UP-ideals, special neutrosophic strong UP-ideals) and their level subsets are considered.

The Encyclopedia of Neutrosophic Researchers, 3rd volume

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4./5 ( download)

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Book Synopsis The Encyclopedia of Neutrosophic Researchers, 3rd volume by : Florentin Smarandache

Download or read book The Encyclopedia of Neutrosophic Researchers, 3rd volume written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books.