On Neutrosophic Extended Triplet Groups Loops And Abel Grassmanns Groupoids Ag Groupoids

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On neutrosophic extended triplet groups (loops) and Abel-Grassmann’s groupoids (AG-groupoids)

Author : Xiaohong Zhang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis On neutrosophic extended triplet groups (loops) and Abel-Grassmann’s groupoids (AG-groupoids) by : Xiaohong Zhang

Download or read book On neutrosophic extended triplet groups (loops) and Abel-Grassmann’s groupoids (AG-groupoids) written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the perspective of semigroup theory, the characterizations of a neutrosophic extended triplet group (NETG) and AG-NET-loop (which is both an Abel-Grassmann groupoid and a neutrosophic extended triplet loop) are systematically analyzed and some important results are obtained. In particular, the following conclusions are strictly proved: (1) an algebraic system is neutrosophic extended triplet group if and only if it is a completely regular semigroup; (2) an algebraic system is weak commutative neutrosophic extended triplet group if and only if it is a Clifford semigroup; (3) for any element in an AG-NET-loop, its neutral element is unique and idempotent; (4) every AG-NET-loop is a completely regular and fully regular Abel-Grassmann groupoid (AG-groupoid), but the inverse is not true. Moreover, the constructing methods of NETGs (completely regular semigroups) are investigated, and the lists of some finite NETGs and AG-NET-loops are given.

The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops

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

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Book Synopsis The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops by : Xiaoying Wu

Download or read book The Decomposition Theorems of AG-Neutrosophic Extended Triplet Loops and Strong AG-(l, l)-Loops written by Xiaoying Wu 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, some new properties of Abel Grassmann‘s Neutrosophic Extended Triplet Loop (AG-NET-Loop) were further studied.

Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop

Author : Xiaogang An
Publisher : Infinite Study
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop by : Xiaogang An

Download or read book Generalized Abel-Grassmann’s Neutrosophic Extended Triplet Loop written by Xiaogang An and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: A group is an algebraic system that characterizes symmetry. As a generalization of the concept of a group, semigroups and various non-associative groupoids can be considered as algebraic abstractions of generalized symmetry.

Study of Two Kinds of Quasi AG-Neutrosophic Extended Triplet Loops

Author : Xiaogang An
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis Study of Two Kinds of Quasi AG-Neutrosophic Extended Triplet Loops by : Xiaogang An

Download or read book Study of Two Kinds of Quasi AG-Neutrosophic Extended Triplet Loops written by Xiaogang An and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abel-Grassmann’s groupoid and neutrosophic extended triplet loop are two important algebraic structures that describe two kinds of generalized symmetries. In this paper, we investigate quasi AG-neutrosophic extended triplet loop, which is a fusion structure of the two kinds of algebraic structures mentioned above.

Generalized Neutrosophic Extended Triplet Group

Author : Yingcang Ma
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)

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Book Synopsis Generalized Neutrosophic Extended Triplet Group by : Yingcang Ma

Download or read book Generalized Neutrosophic Extended Triplet Group written by Yingcang Ma and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic extended triplet group is a new algebra structure and is different from the classical group. In this paper, the notion of generalized neutrosophic extended triplet group is proposed and some properties are discussed.

Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids)

Author : Xiaohong Zhang
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids) by : Xiaohong Zhang

Download or read book Cyclic Associative Groupoids (CA-Groupoids) and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NET-Groupoids) written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group is the basic algebraic structure describing symmetry based on associative law. In order to express more general symmetry (or variation symmetry), the concept of group is generalized in various ways, for examples, regular semigroups, generalized groups, neutrosophic extended triplet groups and AG-groupoids. In this paper, based on the law of cyclic association and the background of non-associative ring, left weakly Novikov algebra and CA-AG-groupoid, a new concept of cyclic associative groupoid (CA-groupoid) is firstly proposed, and some examples and basic properties are presented. Moreover, as a combination of neutrosophic extended triplet group (NETG) and CA-groupoid, the notion of cyclic associative neutrosophic extended triplet groupoid (CA-NET-groupoid) is introduced, some important results are obtained, particularly, a decomposition theorem of CA-NET-groupoid is proved.

Neutrosophic Sets and Systems, Vol. 33, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 353 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 33, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 33, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 353 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. Some articles in this issue: Extension of HyperGraph to n-SuperHyperGraph and to Plithogenic n-SuperHyperGraph, and Extension of HyperAlgebra to n-ary (Classical-/Neutro-/Anti-)HyperAlgebra, Neutrosophic Triplet Partial Bipolar Metric Spaces, The Neutrosophic Triplet of BI-algebras.

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups

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

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Book Synopsis Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups by : Xiaohong Zhang

Download or read book Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups written by Xiaohong Zhang and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symmetry of hyperoperation is expressed by hypergroup, more extensive hyperalgebraic structures than hypergroups are studied in this paper. The new concepts of neutrosophic extended triplet semihypergroup (NET- semihypergroup) and neutrosophic extended triplet hypergroup (NET-hypergroup) are firstly introduced, some basic properties are obtained, and the relationships among NET- semihypergroups, regular semihypergroups, NET-hypergroups and regular hypergroups are systematically are investigated. Moreover, pure NET-semihypergroup and pure NET-hypergroup are investigated, and a strucuture theorem of commutative pure NET-semihypergroup is established. Finally, a new notion of weak commutative NET-semihypergroup is proposed, some important examples are obtained by software MATLAB, and the following important result is proved: every pure and weak commutative NET-semihypergroup is a disjoint union of some regular hypergroups which are its subhypergroups.

Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations

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

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Book Synopsis Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations by : Wangtao Yuan

Download or read book Regular CA-Groupoids and Cyclic Associative Neutrosophic Extended Triplet Groupoids (CA-NETGroupoids) with Green Relations written by Wangtao Yuan and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the theories of AG-groupoid, neutrosophic extended triplet (NET) and semigroup, the characteristics of regular cyclic associative groupoids (CA-groupoids) and cyclic associative neutrosophic extended triplet groupoids (CA-NET-groupoids) are further studied, and some important results are obtained.

Neutrosophic Sets and Systems, Book Series, Vol. 33, 2020. An International Book Series in Information Science and Engineering

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 341 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Book Series, Vol. 33, 2020. An International Book Series in Information Science and Engineering by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Book Series, Vol. 33, 2020. An International Book Series in Information Science and Engineering written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributors to current issue (listed in papers’ order): Atena Tahmasbpour Meikola, Arif Mehmood, Wadood Ullah, Said Broumi, Muhammad Imran Khan, Humera Qureshi, Muhammad Ibrar Abbas, Humaira Kalsoom, Fawad Nadeem, T. Chalapathi, L. Madhavi, R. Suresh, S. Palaniammal, Nivetha Martin, Florentin Smarandache, S. A. Edalatpanah, Rafif Alhabib, A. A. Salama, Memet Şahin, Abdullah Kargın, Murat Yücel, Dimacha Dwibrang Mwchahary, Bhimraj Basumatary, R. S. Alghamdi, N. O. Alshehri, Shigui Du, Rui Yong, Jun Ye, Vasantha Kandasamy, Ilanthenral Kandasamy, Muhammad Saeed, Muhammad Saqlain, Asad Mehmood, Khushbakht Naseer, Sonia Yaqoob, Sudipta Gayen, Sripati Jha, Manoranjan Kumar Singh, Ranjan Kumar, Huseyin Kamaci, Shawkat Alkhazaleh, Anas Al-Masarwah, Abd Ghafur Ahmad, Merve Sena Uz, Akbar Rezaei, Mohamed Grida, Rehab Mohamed, Abdelnaser H. Zaid.

NeutroAlgebra of Neutrosophic Triplets

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

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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.

Neutrosophic Sets and Systems, Vol. 36, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 36, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 410 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. Some articles in this issue: n-Refined Neutrosophic Modules, A Neutrosophic Approach to Digital Images, A Novel Method for Neutrosophic Assignment Problem by using Interval-Valued Trapezoidal Neutrosophic Number.

New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations

Download New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations PDF Online Free

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 411 pages
Book Rating : 4./5 ( download)

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Book Synopsis New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations by : Florentin Smarandache

Download or read book New Development of Neutrosophic Probability, Neutrosophic Statistics, Neutrosophic Algebraic Structures, and Neutrosophic Plithogenic Optimizations written by Florentin Smarandache and published by Infinite Study. This book was released on 2022-09-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art papers on new topics related to neutrosophic theories, such as neutrosophic algebraic structures, neutrosophic triplet algebraic structures, neutrosophic extended triplet algebraic structures, neutrosophic algebraic hyperstructures, neutrosophic triplet algebraic hyperstructures, neutrosophic n-ary algebraic structures, neutrosophic n-ary algebraic hyperstructures, refined neutrosophic algebraic structures, refined neutrosophic algebraic hyperstructures, quadruple neutrosophic algebraic structures, refined quadruple neutrosophic algebraic structures, neutrosophic image processing, neutrosophic image classification, neutrosophic computer vision, neutrosophic machine learning, neutrosophic artificial intelligence, neutrosophic data analytics, neutrosophic deep learning, and neutrosophic symmetry, as well as their applications in the real world.

Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems. An International Journal in Information Science and Engineering, Vol. 36, 2020 written by Florentin Smarandache and published by Infinite Study. This book was released on 2020-10-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophic Sets and Systems (NSS) is an academic journal, published quarterly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.

Collected Papers. Volume IX

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4./5 ( download)

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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.

Neutrosophic Sets and Systems, Vol. 29, 2019

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic Sets and Systems, Vol. 29, 2019 by : Florentin Smarandache

Download or read book Neutrosophic Sets and Systems, Vol. 29, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 264 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.

The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings

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

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Book Synopsis The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings by : Yingcang Ma

Download or read book The Structure of Idempotents in Neutrosophic Rings and Neutrosophic Quadruple Rings written by Yingcang Ma and published by Infinite Study. This book was released on 2019-10-08 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper aims to reveal the structure of idempotents in neutrosophic rings and neutrosophic quadruple rings.