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Neutroalgebra Of Neutrosophic Triplets
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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 and published by Infinite Study. This book was released on 2020-12-01 with total page 15 pages. 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.
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 and published by Infinite Study. This book was released on 2020-10-01 with total page 9 pages. 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.
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 and published by Infinite Study. This book was released on 2020-05-12 with total page 9 pages. 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.
Book Synopsis COMMUTATIVE NEUTROSOPHIC TRIPLET GROUP AND NEUTRO-HOMOMORPHISM BASIC THEOREM by : Xiaohong Zhang
Download or read book COMMUTATIVE NEUTROSOPHIC TRIPLET GROUP AND NEUTRO-HOMOMORPHISM BASIC THEOREM written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we further study neutrosophic triplet group. First, to avoid confusion, some new symbols are introduced, and several basic properties of neutrosophic triplet group are rigorously proved (because the original proof is awed), and a result about neutrosophic triplet subgroup is revised. Second, some new properties of commutative neutrosophic triplet group are funded, and a new equivalent relation is established. Third, based on the previous results, the following important propositions are proved: from any commutative neutrosophic triplet group, an Abel group can be constructed; from any commutative neutrosophic triplet group, a BCI-algebra can be constructed. Moreover, some important examples are given. Finally, by using any neutrosophic triplet subgroup of a commutative neutrosophic triplet group, a new congruence relation is established, and then the quotient structure induced by neutrosophic triplet subgroup is constructed and the neutro-homomorphism basic theorem is proved.
Book Synopsis Neutrosophic Sets and Systems, Vol. 38, 2020 by : Florentin Smarandache
Download or read book Neutrosophic Sets and Systems, Vol. 38, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 662 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.
Book Synopsis Further Theory of Neutrosophic Triplet Topology and Applications by : Mohammed A. Al Shumrani
Download or read book Further Theory of Neutrosophic Triplet Topology and Applications written by Mohammed A. Al Shumrani and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we study and develop the Neutrosophic Triplet Topology (NTT) that was recently introduced by Sahin et al. Like classical topology, the NTT tells how the elements of a set relate spatially to each other in a more comprehensive way using the idea of Neutrosophic Triplet Sets.
Book Synopsis ON NEUTROSOPHIC EXTENDED TRIPLET GROUP ACTION by : Moges Mekonnen Shalla
Download or read book ON NEUTROSOPHIC EXTENDED TRIPLET GROUP ACTION written by Moges Mekonnen Shalla and published by Infinite Study. This book was released on with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis discusses neutrosophic extended triplet (NET) direct product, semi-direct product and NET group actions. The aim is to give a clear introduction that provides a solid foundation for further studies into the subject. We introduce NET internal and external direct and semi-direct products for NET group by utilizing the notion of NET set theory of Smarandache. We also give examples and discuss their difference with the classical one.
Book Synopsis Collected Papers. Volume IX by : Florentin Smarandache
Download or read book Collected Papers. Volume IX written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-05-10 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang.
Book Synopsis Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field by : Mumtaz Ali
Download or read book Study on the Development of Neutrosophic Triplet Ring and Neutrosophic Triplet Field written by Mumtaz Ali and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. We introduce a neutrosophic triplet ring and study some of its basic properties. Further, we define the zero divisor, neutrosophic triplet subring, neutrosophic triplet ideal, nilpotent integral neutrosophic triplet domain, and neutrosophic triplet ring homomorphism. Finally, we introduce a neutrosophic triplet field.
Book Synopsis Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras by : Smarandache, Florentin
Download or read book Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras written by Smarandache, Florentin and published by IGI Global. This book was released on 2022-04-15 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. In all classical algebraic structures, the law of compositions on a given set are well-defined, but this is a restrictive case because there are situations in science where a law of composition defined on a set may be only partially defined and partially undefined, which we call NeutroDefined, or totally undefined, which we call AntiDefined. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.
Book Synopsis Neutrosophic Triplet Non-Associative Semihypergroups with Application by : Muhammad Gulistan
Download or read book Neutrosophic Triplet Non-Associative Semihypergroups with Application written by Muhammad Gulistan and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we extended the idea of a neutrosophic triplet set to non-associative semihypergroups and define neutrosophic triplet LA-semihypergroup.We discuss some basic results and properties. At the end, we provide an application of the proposed structure in Football.
Book Synopsis Neutrosophic Triplets in Neutrosophic Rings by : Vasantha Kandasamy W. B.
Download or read book Neutrosophic Triplets in Neutrosophic Rings written by Vasantha Kandasamy W. B. and published by Infinite Study. This book was released on with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is proved that these rings can contain only three types of neutrosophic triplets, these collections are distinct, and these collections form a torsion free abelian group as triplets under component wise product. However, these collections are not even closed under component wise addition.
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.
Book Synopsis NeutroAlgebra is a Generalization of Partial Algebra by :
Download or read book NeutroAlgebra is a Generalization of Partial Algebra written by and published by Infinite Study. This book was released on 2020-03-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 2019 & 2020 Smarandache 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}. And, in general, he extended any classical Structure, in no matter what field of knowledge, to a NeutroStructure and an AntiStructure.
