On Some Neutrohyperstructures

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Algebraic Hyperstructures and Applications

Author : Thomas Vougiouklis
Publisher : World Scientific
ISBN 13 : 9814569453
Total Pages : 236 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Algebraic Hyperstructures and Applications by : Thomas Vougiouklis

Download or read book Algebraic Hyperstructures and Applications written by Thomas Vougiouklis and published by World Scientific. This book was released on 1991-04-22 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics covered include semihypergroups, hypergroups, hyperrings, hyperfields, hypermatrices, ordered hyperstructures etc., related topics as join spaces, cogroups, polygroups and finally applications on combinatorics, field theory, finite geometry, computer science etc. Contents:Themes and Problems of Hypergroup Theory (P Corsini)Sur les Structures Hypercompositionnelles (J Mittas)Sur les Hypercorps et les Hyperanneaux (D Stratigopoulos)Generalized Designs, Linear Spaces, Hypergroupoids and Algebraic Cryptography (L Berardi et al)Some Problems on Hypergroups (S Comer)Hypernear-Rings (V Dasic)Similitude and Isomorphism in KH Hypergroups (M De Salvo)Lexicographic Sums of Ordered Sets and Hypergroupoids (S Foldes)Simplifiable Semihypergroups (C Gutan)On the Hypergroups which can be Defined Over Families of Subsets of a Hypergroup (M Gutan)Reduced Hypergroups (J Jantosciak)Associatively Semihypergroups and Cardinal-Valued Semigroups (T Kepka)and other papers Readership: Pure & applied mathematicians and graduate students in mathematics. keywords:

Applications of Hyperstructure Theory

Author : P. Corsini
Publisher : Springer Science & Business Media
ISBN 13 : 1475737149
Total Pages : 333 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Applications of Hyperstructure Theory by : P. Corsini

Download or read book Applications of Hyperstructure Theory written by P. Corsini and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.

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.

Walk Through Weak Hyperstructures, A: Hv-structures

Author : Bijan Davvaz
Publisher : World Scientific
ISBN 13 : 9813278889
Total Pages : 347 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Walk Through Weak Hyperstructures, A: Hv-structures by : Bijan Davvaz

Download or read book Walk Through Weak Hyperstructures, A: Hv-structures written by Bijan Davvaz and published by World Scientific. This book was released on 2018-12-11 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hyperstructures represent a natural extension of classical algebraic structures. They were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers published on this subject. This book is devoted to the study of weak hyperstructures with natural examples. It begins with some basic results, which represent the most general algebraic context, in which reality can be modelled. There are also applications in natural science (Biology, Chemistry and Physics).The authors of the book are experts and well known on this theory. Most results on weak hyperstructures are collected in this book. The overall strength of the book is in its presentation and introduction to some of the results, methods and ideas about weak hyperstructures.

Neutrosophic quadruple algebraic hyperstructures

Author : A. A. A. Agboola
Publisher : Infinite Study
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic quadruple algebraic hyperstructures by : A. A. A. Agboola

Download or read book Neutrosophic quadruple algebraic hyperstructures written by A. A. A. Agboola and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper is to develop neutrosophic quadruple algebraic hyperstructures. Speciﬁcally, we develop neutrosophic quadruple semihypergroups, neutrosophic quadruple canonical hypergroups and neutrosophic quadruple hyperrings and we present elementary properties which characterize them.

Fuzzy Algebraic Hyperstructures

Author : Bijan Davvaz
Publisher : Springer
ISBN 13 : 3319147625
Total Pages : 250 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Fuzzy Algebraic Hyperstructures by : Bijan Davvaz

Download or read book Fuzzy Algebraic Hyperstructures written by Bijan Davvaz and published by Springer. This book was released on 2015-01-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an introduction to fuzzy algebraic hyperstructures. As the first in its genre, it includes a number of topics, most of which reflect the authors’ past research and thus provides a starting point for future research directions. The book is organized in five chapters. The first chapter introduces readers to the basic notions of algebraic structures and hyperstructures. The second covers fuzzy sets, fuzzy groups and fuzzy polygroups. The following two chapters are concerned with the theory of fuzzy Hv-structures: while the third chapter presents the concept of fuzzy Hv-subgroup of Hv-groups, the fourth covers the theory of fuzzy Hv-ideals of Hv-rings. The final chapter discusses several connections between hypergroups and fuzzy sets, and includes a study on the association between hypergroupoids and fuzzy sets endowed with two membership functions. In addition to providing a reference guide to researchers, the book is also intended as textbook for undergraduate and graduate students.

On Some NeutroHyperstructures

Author : Madeleine Al-Tahan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Some NeutroHyperstructures by : Madeleine Al-Tahan

Download or read book On Some NeutroHyperstructures written by Madeleine Al-Tahan and published by Infinite Study. This book was released on 2021-05-01 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy, the study of neutralities, is a new branch of Philosophy that has applications in many different fields of science. Inspired by the idea of Neutrosophy, Smarandache introduced NeutroAlgebraicStructures (or NeutroAlgebras) by allowing the partiality and indeterminacy to be included in the structures’ operations and/or axioms. The aim of this paper is to combine the concept of Neutrosophy with hyperstructures theory. In this regard, we introduce NeutroSemihypergroups as well as NeutroHv-Semigroups and study their properties by providing several illustrative examples.

New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups

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

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Book Synopsis New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups by : Abdullah Kargın

Download or read book New Type Hyper Groups, New Type SuperHyper Groups and Neutro-New Type SuperHyper Groups written by Abdullah Kargın and published by Infinite Study. This book was released on 2023-01-01 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, a new type Hyper groups are defined, corresponding basic properties and examples for new type Hyper groups are given and proved. Moreover, new type Hypergroups groups and are compared to hyper groups and groups. New type Hyper groups are shown to have a more general structure according to Hyper groups and groups. Also, new type SuperHyper groups are defined, corresponding basic properties and examples for new type SuperHyper are given and proved. Furthermore, we defined neutro-new type SuperHyper groups.

Maurice Duruflé, 1902-1986

Author : Ronald Ebrecht
Publisher : Scarecrow Press
ISBN 13 : 1461669634
Total Pages : 232 pages
Book Rating : 4.4/5 (616 download)

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Book Synopsis Maurice Duruflé, 1902-1986 by : Ronald Ebrecht

Download or read book Maurice Duruflé, 1902-1986 written by Ronald Ebrecht and published by Scarecrow Press. This book was released on 2002-06-11 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maurice Duruflé (1902-1986) is best known as composer of the hauntingly beautiful and moving Requiem of 1947, and as organist during his long tenure at the church of Saint-Etienne-du-Mont in Paris. He studied composition and organ with Tournemire, Vierne, Gigout, and Dukas among others, and became well known outside France through tours and conferences, often attended with his wife, the late Marie-Madeleine Chevalier. Ebrecht has brought together in this centenary tribute a fine collection of articles on Duruflé's life and work that will enthrall all those who have come under the spell of this great master of French Impressionism. About the contributors: Marie-Claire Alain the renowned French organist, recording artist, and teacher was one of Duruflés first harmony students at the Paris Conservatoire. James Frazier has studied liturgy and music at several universities, and was a Fulbright scholar in France, where he studied privately with Madame Duruflé. Maria Rubis Bauer concluded her doctoral dissertation on Duruflé at the University of Kansas. Jeffrey Reynolds is Associate Professor of Humanities and chair of the music department at the University of Alabama, Birmingham. Herndon Spillman's landmark recording of the complete works of Duruflé won him a Grand Prix du Disque in 1973. He is Professor of Music at Louisiana State University. Eliane Chevalier was the sister of Marie-Madeleine Duruflé, with whom she shared a passion for music. Ned Tipton is Director of Music of the American Cathedral in Paris.

Blockchain Radicals

Author : Joshua Dávila
Publisher : Watkins Media Limited
ISBN 13 : 1914420705
Total Pages : 320 pages
Book Rating : 4.9/5 (144 download)

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Book Synopsis Blockchain Radicals by : Joshua Dávila

Download or read book Blockchain Radicals written by Joshua Dávila and published by Watkins Media Limited. This book was released on 2023-08-08 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blockchain Radicals uncovers the radical political potential of the blockchain, showing how it can be used by the left in the fight against capitalism. Over the last decade, blockchains and crypto have opened up a new terrain for political action. It is not surprising, however, that the crypto space has also become overrun by unscrupulous marketing, theft and scams. The problem is real, but it isn't a new one. Capitalism has ruined crypto, but that shouldn't be the end of it. Blockchain Radicals shows us how this has happened, and how to fix crypto in a way that is understandable for those who have never owned a cryptocurrency as well as those who are building their own decentralised applications. Covering everything from how Bitcoin saved WikiLeaks to decentralised finance, worker cooperatives, the environmental impact of Bitcoin and NFTs, and the crypto commons, it shows how these new tools can be used to challenge capitalism and build a better world for all of us. While crypto is often thought of as being synonymous with unbridled capitalism, Blockchain Radicals shows instead how the technology can and has been used for more radical purposes, beyond individual profit and towards collective autonomy.

Hyperstructures and Their Representations

Author : Thomas Vougiouklis
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Hyperstructures and Their Representations by : Thomas Vougiouklis

Download or read book Hyperstructures and Their Representations written by Thomas Vougiouklis and published by . This book was released on 1994 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Hyperstructures and Applications

Author : Piergiulio Corsini
Publisher :
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Algebraic Hyperstructures and Applications by : Piergiulio Corsini

Download or read book Algebraic Hyperstructures and Applications written by Piergiulio Corsini and published by . This book was released on 2004 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a record of the contents of the papers accepted for publication as the Proceedings of the 7th International Conference on Algebraic Hyperstructures and Applications, held in Taormina (Italy) on June 13-19, 1999.

Neutrosophic SuperHyperAlgebra and New Types of Topologies

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4./5 ( download)

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Book Synopsis Neutrosophic SuperHyperAlgebra and New Types of Topologies by : Florentin Smarandache

Download or read book Neutrosophic SuperHyperAlgebra and New Types of Topologies written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-09-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: In general, a system S (that may be a company, association, institution, society, country, etc.) is formed by sub-systems Si { or P(S), the powerset of S }, and each sub-system Si is formed by sub-sub-systems Sij { or P(P(S)) = P2(S) } and so on. That’s why the n-th PowerSet of a Set S { defined recursively and denoted by Pn(S) = P(Pn-1(S) } was introduced, to better describes the organization of people, beings, objects etc. in our real world. The n-th PowerSet was used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology.

Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

Author : Irina Cristea
Publisher : MDPI
ISBN 13 : 3039287087
Total Pages : 208 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures by : Irina Cristea

Download or read book Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures written by Irina Cristea and published by MDPI. This book was released on 2020-05-29 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of 12 innovative research papers in the field of hypercompositional algebra, 7 of them being more theoretically oriented, with the other 5 presenting strong applicative aspects in engineering, control theory, artificial intelligence, and graph theory. Hypercompositional algebra is now a well-established branch of abstract algebra dealing with structures endowed with multi-valued operations, also called hyperoperations, having a set as the result of the interrelation between two elements of the support set. The theoretical papers in this book are principally related to three main topics: (semi)hypergroups, hyperfields, and BCK-algebra. Heidari and Cristea present a natural generalization of breakable semigroups, defining the breakable semihypergroups where every non-empty subset is a subsemihypergroup. Using the fundamental relation β on a hypergroup, some new properties of the β-classes are obtained by De Salvo et al., who introduced and investigated the notion of height of a β-class. Based on the properties of a cyclic hypergroup of particular matrices, Krehlik and Vyroubalova describe the symmetry of lower and upper approximations in certain rough sets connected with this hypergroup. These results suggest an application to the study of detection sensors. In the framework of hyperrings and hyperfields theory, a new line of research has been developed regarding hyperhomographies on Krasner hyperfields, with interesting applications in cryptography (Vahedi et al.) and new fuzzy weak hyperideals were defined in Hv-rings by using the concept of fuzzy multiset (Al Tahan et al.), for which some algebraic properties were obtained. Two articles are dedicated to the study of BCK-algebras. Bordbar et al. present the properties of the relative annihilator in lower BCK-semilattices, whereas several types of intuitionistic fuzzy soft ideals in hyper BCK-algebras were defined and studied by Xin et al. Increasing numbers of researchers are interested in the applicative aspects of algebraic hypercompositional structures. For example, new properties related with symmetric relations are emphasized by Chvalina and Smetana for the structures and hyperstructures of artificial neurons. Novak et al. present a mathematical model based on elements of algebraic hyperstructure theory, used in the context of underwater wireless sensor networks. A construction of granular structures using m-polar fuzzy hypergraphs and level hypergraphs is illustrated in Luqman et al. using examples from a real-life problem. In the last paper in this book, Akram et al. discuss some properties related to edge regularity for q-rung picture fuzzy graphs.

Casimir Force, Casimir Operators and the Riemann Hypothesis

Author : Gerrit Dijk
Publisher : Walter de Gruyter
ISBN 13 : 3110226138
Total Pages : 295 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Casimir Force, Casimir Operators and the Riemann Hypothesis by : Gerrit Dijk

Download or read book Casimir Force, Casimir Operators and the Riemann Hypothesis written by Gerrit Dijk and published by Walter de Gruyter. This book was released on 2010-10-19 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference "Casimir Force, Casimir Operators and the Riemann Hypothesis – Mathematics for Innovation in Industry and Science" held in November 2009 in Fukuoka (Japan). The motive for the conference was the celebration of the 100th birthday of Casimir and the 150th birthday of the Riemann hypothesis. The conference focused on the following topics: Casimir operators in harmonic analysis and representation theory Number theory, in particular zeta functions and cryptography Casimir force in physics and its relation with nano-science Mathematical biology Importance of mathematics for innovation in industry The latter topic was inspired both by the call for innovation in industry worldwide and by the fact that Casimir, who was the director of Philips research for a long time in his career, had an outspoken opinion on the importance of fundamental science for industry. These proceedings are of interest both to research mathematicians and to those interested in the role science, and in particular mathematics, can play in innovation in industry.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.