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Author : Thomas Vougiouklis
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.E/5 ( download)
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:
Author : P. Corsini
Publisher : Springer Science & Business Media
ISBN 13 : 1475737149
Total Pages : 333 pages
Book Rating : 4.4/5 (757 download)
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.
Author : Thomas Vougiouklis
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (91 download)
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:
Author : Bijan Davvaz
Publisher : Springer
ISBN 13 : 3319147625
Total Pages : 250 pages
Book Rating : 4.3/5 (191 download)
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.
Author : S. Khademan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4./5 ( download)
Download or read book Neutrosophic Hyper BCK-Ideals written by S. Khademan and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal and reflexive neutrosophic hyper BCK-ideal. Some relevant properties and their relations are indicated. Characterization of neutrosophic (weak) hyper BCK-ideal is considered.
Author : Bijan Davvaz
Publisher : World Scientific
ISBN 13 : 9814425303
Total Pages : 209 pages
Book Rating : 4.8/5 (144 download)
Download or read book Polygroup Theory and Related Systems written by Bijan Davvaz and published by World Scientific. This book was released on 2013 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : M. Al-Tahan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4./5 ( download)
Download or read book Refined neutrosophic quadruple (po-)hypergroups and their fundamental group written by M. Al-Tahan and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Somayeh KHADEMAN
Publisher : Infinite Study
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4./5 ( download)
Download or read book (Fuzzy and neutrosophic) soft hyper BCK-ideals written by Somayeh KHADEMAN and published by Infinite Study. This book was released on with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have given examples and theorems to examine the relations between them and their relations with fuzzy soft (weak, strong) hyper BCK-ideals. Then, we have introduced the notions of neutrosophic (strong, weak, s-weak) hyper BCK-ideal, reflexive neutrosophic hyper BCK-ideal and neutrosophic commutative hyper BCK-ideal and indicated some relevant properties and their relations. Finally, we introduce the notions of neutrosophic soft (weak, strong) hyper BCK-ideal and (weak, strong) neutrosophic soft hyper p-ideal and have got some results on them.
Author : Muhammad Gulistan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)
Download or read book Neutrosophic Triplet Non-Associative Semihypergroups with Application written by Muhammad Gulistan 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, we extended the idea of a neutrosophic triplet set to non-associative semihypergroups and define neutrosophic triplet LA-semihypergroup.We discuss some basic results and properties. At the end, we provide an application of the proposed structure in Football.
Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 3038974765
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)
Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets, Volume II written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author : Florentin Smarandache
Publisher : MDPI
ISBN 13 : 3038974757
Total Pages : 450 pages
Book Rating : 4.0/5 (389 download)
Download or read book Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets written by Florentin Smarandache and published by MDPI. This book was released on 2019-04-04 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,
Author : Smarandache, Florentin
Publisher : IGI Global
ISBN 13 : 1668434970
Total Pages : 333 pages
Book Rating : 4.6/5 (684 download)
Download or read book Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebras written by Smarandache, Florentin and published by IGI Global. This book was released on 2022-04-15 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Theory and Applications of NeutroAlgebras as Generalizations of Classical Algebra introduces NeutroAlgebra, an emerging field of research. This book provides a comprehensive collection of original work related to NeutroAlgebra and covers topics such as image retrieval, mathematical morphology, and NeutroAlgebraic structure. It is an essential resource for philosophers, mathematicians, researchers, educators and students of higher education, and academicians.
Author : Irina Cristea
Publisher : MDPI
ISBN 13 : 3039287087
Total Pages : 208 pages
Book Rating : 4.0/5 (392 download)
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.
Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4./5 ( download)
Download or read book Neutrosophic Sets and Systems, Vol. 27, 2019 written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 252 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 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.
Author : Angel Garrido
Publisher : MDPI
ISBN 13 : 3039281909
Total Pages : 458 pages
Book Rating : 4.0/5 (392 download)
Download or read book Discrete Mathematics and Symmetry written by Angel Garrido and published by MDPI. This book was released on 2020-03-05 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry means invariance of adjacency of nodes under the permutations of node set. The graph isomorphism is an equivalence relation on the set of graphs. Therefore, it partitions the class of all graphs into equivalence classes. The underlying idea of isomorphism is that some objects have the same structure if we omit the individual character of their components. A set of graphs isomorphic to each other is denominated as an isomorphism class of graphs. The automorphism of a graph will be an isomorphism from G onto itself. The family of all automorphisms of a graph G is a permutation group.
Author : Madeleine Al-Tahan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)
Download or read book Fundamental group and complete parts of Neutrosophic Quadruple Hυ -groups written by Madeleine Al-Tahan and published by Infinite Study. This book was released on 2023-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that Hυ -groups and groups are connected through regular relations. The purpose of this paper is to nd a similar connection between neutrosophic Hυ -groups and neutrosophic groups by using the concept of fundamental relations on Hv-groups. First, we characterize the complete parts of neutrosophic Hv-groups. Then we study their (strongly) regular relations. Finally, we nd their fundamental group.
Author : Maurizio Vichi
Publisher : Springer Science & Business Media
ISBN 13 : 364260126X
Total Pages : 384 pages
Book Rating : 4.6/5 (426 download)
Download or read book Classification and Data Analysis written by Maurizio Vichi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
