Semihypergroup Theory

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  • Publisher : Academic Press
  • Release : 24 June 2016
  • ISBN : 9780128099254
  • Page : 164 pages
  • Rating : 4.5/5 from 103 voters

Semihypergroup Theory Book PDF summary

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

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Semihypergroup Theory

Semihypergroup Theory
  • Author : Bijan Davvaz
  • Publisher : Academic Press
  • Release Date : 2016-06-24
  • ISBN : 9780128099254
DOWNLOAD BOOKSemihypergroup Theory

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

On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups

On Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups
  • Author : Minghao Hu ,Florentin Smarandache,Xiaohong Zhang
  • Publisher : Infinite Study
  • Release Date : 2022-08-14
  • ISBN : 0987654321XXX
DOWNLOAD BOOKOn Neutrosophic Extended Triplet LA-hypergroups and Strong Pure LA-semihypergroups

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.

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups

Symmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups
  • Author : Xiaohong Zhang ,Florentin Smarandache,Yingcang Ma
  • Publisher : Infinite Study
  • Release Date : 2022-08-14
  • ISBN : 0987654321XXX
DOWNLOAD BOOKSymmetry in Hyperstructure: Neutrosophic Extended Triplet Semihypergroups and Regular Hypergroups

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

Hypergroup Theory

Hypergroup Theory
  • Author : Bijan Davvaz,Violeta Leoreanu-fotea
  • Publisher : World Scientific
  • Release Date : 2021-12-28
  • ISBN : 9789811249402
DOWNLOAD BOOKHypergroup Theory

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,

Harmony Search and Nature Inspired Optimization Algorithms

Harmony Search and Nature Inspired Optimization Algorithms
  • Author : Neha Yadav,Anupam Yadav,Jagdish Chand Bansal,Kusum Deep,Joong Hoon Kim
  • Publisher : Springer
  • Release Date : 2018-08-23
  • ISBN : 9789811307614
DOWNLOAD BOOKHarmony Search and Nature Inspired Optimization Algorithms

The book covers different aspects of real-world applications of optimization algorithms. It provides insights from the Fourth International Conference on Harmony Search, Soft Computing and Applications held at BML Munjal University, Gurgaon, India on February 7–9, 2018. It consists of research articles on novel and newly proposed optimization algorithms; the theoretical study of nature-inspired optimization algorithms; numerically established results of nature-inspired optimization algorithms; and real-world applications of optimization algorithms and synthetic benchmarking of optimization algorithms.

Applications of Artificial Intelligence Techniques in Engineering

Applications of Artificial Intelligence Techniques in Engineering
  • Author : Hasmat Malik,Smriti Srivastava,Yog Raj Sood,Aamir Ahmad
  • Publisher : Springer
  • Release Date : 2018-09-28
  • ISBN : 9789811318191
DOWNLOAD BOOKApplications of Artificial Intelligence Techniques in Engineering

The book is a collection of high-quality, peer-reviewed innovative research papers from the International Conference on Signals, Machines and Automation (SIGMA 2018) held at Netaji Subhas Institute of Technology (NSIT), Delhi, India. The conference offered researchers from academic and industry the opportunity to present their original work and exchange ideas, information, techniques and applications in the field of computational intelligence, artificial intelligence and machine intelligence. The book is divided into two volumes discussing a wide variety of industrial, engineering and scientific

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures

Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures
  • Author : Jana, Chiranjibe,Senapati, Tapan,Pal, Madhumangal
  • Publisher : IGI Global
  • Release Date : 2019-10-25
  • ISBN : 9781799801924
DOWNLOAD BOOKHandbook of Research on Emerging Applications of Fuzzy Algebraic Structures

In the world of mathematics, the study of fuzzy relations and its theories are well-documented and a staple in the area of calculative methods. What many researchers and scientists overlook is how fuzzy theory can be applied to industries outside of arithmetic. The framework of fuzzy logic is much broader than professionals realize. There is a lack of research on the full potential this theoretical model can reach. The Handbook of Research on Emerging Applications of Fuzzy Algebraic Structures provides

Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
  • Author : Irina Cristea
  • Publisher : MDPI
  • Release Date : 2020-05-29
  • ISBN : 9783039287086
DOWNLOAD BOOKSymmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

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

Applications of Hyperstructure Theory

Applications of Hyperstructure Theory
  • Author : P. Corsini,V. Leoreanu
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-09
  • ISBN : 9781475737141
DOWNLOAD BOOKApplications of Hyperstructure Theory

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.

Models and Theories in Social Systems

Models and Theories in Social Systems
  • Author : Cristina Flaut,Šárka Hošková-Mayerová,Daniel Flaut
  • Publisher : Springer
  • Release Date : 2018-10-12
  • ISBN : 9783030000844
DOWNLOAD BOOKModels and Theories in Social Systems

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

Refined neutrosophic quadruple (po-)hypergroups and their fundamental group

Refined neutrosophic quadruple (po-)hypergroups and their fundamental group
  • Author : M. Al-Tahan,B. Davvaz
  • Publisher : Infinite Study
  • Release Date : 2022-08-14
  • ISBN : 0987654321XXX
DOWNLOAD BOOKRefined neutrosophic quadruple (po-)hypergroups and their fundamental group

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

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019

Neutrosophic Sets and Systems, Book Series, Vol. 27, 2019
  • Author : Florentin Smarandache ,Mohamed Abdel-Basset
  • Publisher : Infinite Study
  • Release Date : 2022-08-14
  • ISBN : 0987654321XXX
DOWNLOAD BOOKNeutrosophic Sets and Systems, Book Series, Vol. 27, 2019

“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.

Neutrosophic Sets and Systems, Vol. 27, 2019

Neutrosophic Sets and Systems, Vol. 27, 2019
  • Author : Florentin Smarandache,Mohamed Abdel-Basset
  • Publisher : Infinite Study
  • Release Date : 2022-08-14
  • ISBN : 0987654321XXX
DOWNLOAD BOOKNeutrosophic Sets and Systems, Vol. 27, 2019

“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 from this issue: BMBJ-neutrosophic ideals in BCK/BCI-algebras, Neutrosophic General Finite Automata, Generalized Neutrosophic Exponential map, Implementation of Neutrosophic Function Memberships Using MATLAB Program.

Walk Through Weak Hyperstructures, A: Hv-structures

Walk Through Weak Hyperstructures, A: Hv-structures
  • Author : Bijan Davvaz,Thomas Vougiouklis
  • Publisher : World Scientific
  • Release Date : 2018-12-11
  • ISBN : 9789813278882
DOWNLOAD BOOKWalk Through Weak Hyperstructures, A: Hv-structures

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

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras
  • Author : Smarandache, Florentin,Al-Tahan, Madeline
  • Publisher : IGI Global
  • Release Date : 2022-04-15
  • ISBN : 9781668434970
DOWNLOAD BOOKTheory and Applications of NeutroAlgebras as Generalizations of Classical Algebras

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.