Hyperstructures And Their Representations
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Hyperstructures And Their Representations
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Author : Thomas Vougiouklis
language : en
Publisher:
Release Date : 1994
Hyperstructures And Their Representations written by Thomas Vougiouklis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Hyperstructures And Their Representations
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Author : Thomas Vougiouklis
language : en
Publisher:
Release Date : 1994
Hyperstructures And Their Representations written by Thomas Vougiouklis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Hyperstructures And Their Representations
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Author : Thomas Vougiouklis
language : en
Publisher:
Release Date : 1994
Hyperstructures And Their Representations written by Thomas Vougiouklis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Applications Of Hyperstructure Theory
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Author : P. Corsini
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Applications Of Hyperstructure Theory written by P. Corsini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
Polygroup Theory And Related Systems
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Author : Bijan Davvaz
language : en
Publisher: World Scientific
Release Date : 2013
Polygroup Theory And Related Systems written by Bijan Davvaz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in pure and applied mathematics.
Refined Neutrosophic Quadruple Po Hypergroups And Their Fundamental Group
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Author : M. Al-Tahan
language : en
Publisher: Infinite Study
Release Date :
Refined Neutrosophic Quadruple Po Hypergroups And Their Fundamental Group written by M. Al-Tahan 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.
After introducing the notion of hyperstructures about 80 years ago by F. Marty, a number of researches on its theory, generalization, and it’s applications have been done. On the other hand, the theory of Neutrosophy, the study of neutralities, was developed in 1995 by F. Smarandache as an extension of dialectics. This paper aims at finding a connection between refined neutrosophy of sets and hypergroups. In this regard, we define refined neutrosophic quadruple hypergroups, study their properties, and find their fundamental refined neutrosophic quadruple groups. Moreover, some results related to refined neutrosophic quadruple po-hypergroups are obtained.
Symmetry In Classical And Fuzzy Algebraic Hypercompositional Structures
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Author : Irina Cristea
language : en
Publisher: MDPI
Release Date : 2020-05-29
Symmetry In Classical And Fuzzy Algebraic Hypercompositional Structures written by Irina Cristea and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-29 with Mathematics categories.
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.
Semihypergroup Theory
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Author : Bijan Davvaz
language : en
Publisher: Academic Press
Release Date : 2016-06-24
Semihypergroup Theory written by Bijan Davvaz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-24 with Mathematics categories.
Semihypergroup Theory is the first book devoted to the semihypergroup theory and it includes basic results concerning semigroup theory and algebraic hyperstructures, which represent the most general algebraic context in which reality can be modelled. Hyperstructures represent a natural extension of classical algebraic structures and they were introduced in 1934 by the French mathematician Marty. Since then, hundreds of papers have been published on this subject. - Offers the first book devoted to the semihypergroup theory - Presents an introduction to recent progress in the theory of semihypergroups - Covers most of the mathematical ideas and techniques required in the study of semihypergroups - Employs the notion of fundamental relations to connect semihypergroups to semigroups
Classification And Data Analysis
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Author : Maurizio Vichi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Classification And Data Analysis written by Maurizio Vichi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
International Federation of Classification Societies The International Federation of Classification Societies (IFCS) is an agency for the dissemination of technical and scientific information concerning classification and data analysis in the broad sense and in as wide a· range of applications as possible; founded in 1985 in Cambridge (UK) from the following Scientific Societies and Groups: British Classification Society -BCS; Classification Society of North America -CSNA; Gesellschaft fUr Klassifikation -GfKl; Japanese Classification Society -JCS; Classification Group of Italian Statistical Society - COSIS; Societe Francophone de Classification -SFC. Now the IFCS includes the following Societies: Dutch-Belgian Classification Society - VOC; Polish Classification Section - SKAD; Portuguese Classification Association - CLAD; Group-at-Large; Korean Classification Society -KCS. Biannual Meeting of the Classification and Data Analysis Group of SIS The biannual meeting of the Classification and Data Analysis Group of Societa Italiana di Statistica (SIS) was held in Pescara, July 3 -4, 1997. The 69 papers presented were divided in 17 sessions. Each session was organized by a chairperson with two invited speakers and two contributed papers from a call for papers. All the works were referred. Furthermore, during the meeting a discussant was provided for each session. A short version of the papers (4 pages) was.published before the conference.
Weak La Hypergroups Neutrosophy Enumeration And Redox Reaction
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Author : Shah Nawaz
language : en
Publisher: Infinite Study
Release Date : 2020-10-01
Weak La Hypergroups Neutrosophy Enumeration And Redox Reaction written by Shah Nawaz 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.
The main motivation of this article is to introduce the theme of Neutrosophic triplet(NT) Hv-LA-Groups. This inspiration is recieved from the structure of weak non-associative Neutrosophic triplet(NT) structures. For it, firstly, we define that each element x have left neut(x) and left anti(x) ; which may or may not unique. We further introduce the notion of neutrosophic triplet Hv-LA-subgroups and neutrosophic weak homomorphism on NT Hv-LA-Group. Secondly, presented NT Hv-LA-Group and develop two Mathematica Packages which help to check the left invertive law, weak left invertive law and reproductive axiom. Finally established a numerical example to validate the proposed approach in chemistry using redox reactions.