On Neutro Algebras And Anti Algebras


On Neutro Algebras And Anti Algebras
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On Neutro Be Algebras And Anti Be Algebras Revisited


On Neutro Be Algebras And Anti Be Algebras Revisited
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Author : Akbar Rezaei
language : en
Publisher: Infinite Study
Release Date : 2020-05-15

On Neutro Be Algebras And Anti Be Algebras Revisited written by Akbar Rezaei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-15 with Antiques & Collectibles categories.


In this paper, the concepts of Neutro-BE-algebra and Anti-BE-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-BE-algebra and Anti-BE-algebras are alternatives of the class of BE-algebras.



The Neutrosophic Triplet Of Bi Algebras


The Neutrosophic Triplet Of Bi Algebras
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Author : Akbar Rezaei
language : en
Publisher: Infinite Study
Release Date : 2020-10-01

The Neutrosophic Triplet Of Bi Algebras written by Akbar Rezaei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-01 with Mathematics categories.


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.



The Neutrosophic Triplet Of Algebras


The Neutrosophic Triplet Of Algebras
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Author : Akbar Rezaei
language : en
Publisher: Infinite Study
Release Date : 2020-05-12

The Neutrosophic Triplet Of Algebras written by Akbar Rezaei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-12 with Antiques & Collectibles categories.


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.



On Neutro Algebras And Anti Algebras


On Neutro Algebras And Anti Algebras
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Author : Akbar Rezaei
language : en
Publisher: Infinite Study
Release Date :

On Neutro Algebras And Anti Algebras written by Akbar Rezaei and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


In this paper, the concepts of Neutro-𝐵𝐸-algebra and Anti-𝐵𝐸-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-𝐵𝐸-algebra and Anti-𝐵𝐸-algebras are alternatives of the class of 𝐵𝐸-algebras.



A New Trend To Extensions Of Ci Algebras


A New Trend To Extensions Of Ci Algebras
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2020-05-14

A New Trend To Extensions Of Ci Algebras written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Antiques & Collectibles categories.


In this paper, as an extension of CI-algebras, we discuss the new notions of Neutro-CI-algebras and Anti-CI-algebras. First, some examples are given to show that these definitions are different. We prove that any proper CI-algebra is a Neutro-BE-algebra or Anti-BE-algebra. Also, we show that any NeutroSelf-distributive and AntiCommutative CIalgebras are not BE-algebras.



Theory And Applications Of Neutroalgebras As Generalizations Of Classical Algebras


Theory And Applications Of Neutroalgebras As Generalizations Of Classical Algebras
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Author : Smarandache, Florentin
language : en
Publisher: IGI Global
Release Date : 2022-04-15

Theory And Applications Of Neutroalgebras As Generalizations Of Classical Algebras written by Smarandache, Florentin and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.


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.



On Neutro D Subalgebras


On Neutro D Subalgebras
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Author : M. Hamidi
language : en
Publisher: Infinite Study
Release Date :

On Neutro D Subalgebras written by M. Hamidi and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.


This paper introduces the novel concept of neutro-d-algebra. In neutro-d-algebra, the outcome of any given two elements under an underlying operation (neutrosophication procedure) has three cases, such as: Appurtenance, non-appurtenance, or indeterminate and for an axiom: Equal, non-equal, or indeterminate.



Collected Papers Volume Ix


Collected Papers Volume Ix
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-05-10

Collected Papers Volume Ix written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-10 with Mathematics categories.


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.



Neutrosophic Sets And Systems Vol 51 2022


Neutrosophic Sets And Systems Vol 51 2022
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-09-01

Neutrosophic Sets And Systems Vol 51 2022 written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.


“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).



Neutroalgebra Is A Generalization Of Partial Algebra


Neutroalgebra Is A Generalization Of Partial Algebra
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Author :
language : en
Publisher: Infinite Study
Release Date : 2020-03-01

Neutroalgebra Is A Generalization Of Partial Algebra written by and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-01 with Antiques & Collectibles categories.


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.