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.
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.
Download or read book Algebraic Hyperstructures And Applications Proceedings Of The Fourth International Congress 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.
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.
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.
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.
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.
Download or read book Maurice Durufl 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.
Download or read book Hyperstructures and Their Representations written by Thomas Vougiouklis and published by . This book was released on 1994 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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.
Download or read book Hypergroup Theory written by Bijan Davvaz and published by World Scientific. This book was released on 2021-12-28 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.
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.
Download or read book On Neutrosophic Extended Triplet LA hypergroups and Strong Pure LA semihypergroups written by Minghao Hu and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the notions of neutrosophic extended triplet LA-semihypergroup, neutrosophic extended triplet LA-hypergroup, which can reflect some symmetry of hyperoperation and discuss the relationships among them and regular LA-semihypergroups, LA-hypergroups, regular LA-hypergroups. In particular, we introduce the notion of strong pure neutrosophic extended triplet LA-semihypergroup, get some special properties of it and prove the construction theorem about it under the condition of asymmetry. The examples in this paper are all from Python programs.
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.
Download or read book Models and Theories in Social Systems written by Cristina Flaut and published by Springer. This book was released on 2018-10-12 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book concisely presents a broad range of models and theories on social systems. Because of the huge spectrum of topics involving social systems, various issues related to Mathematics, Statistics, Teaching, Social Science, and Economics are discussed. In an effort to introduce the subject to a wider audience, this volume, part of the series “Studies in Systems, Decision and Control”, equally addresses the needs of mathematicians, statisticians, sociologists and philosophers. The studies examined here are divided into four parts. The first part, “Perusing the Minds Behind Scientific Discoveries”, traces the winding path of Syamal K. Sen and Ravi P. Agarwal’s scholarship throughout history, and most importantly, the thought processes that allowed each of them to master their subject. The second part covers “Theories in Social Systems” and the third discusses “Models in Social Systems”, while the fourth and final part is dedicated to “Mathematical Methods in the Social Sciences”. Given its breadth of coverage, the book will offer inquisitive readers a valuable point of departure for exploring these rich, vast, and ever-expanding fields of knowledge.
