Symmetry 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 alg...
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| Format: | Chapitre de livre |
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MDPI - Multidisciplinary Digital Publishing Institute
2020
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| Accès en ligne: | Get Fullteks DOAB: description of the publication |
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| Résumé: | 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 ? on a hypergroup, some new properties of the |
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| Description matérielle: | 1 electronic resource (208 p.) |
| ISBN: | books978-3-03928-709-3 9783039287093 9783039287086 |
| Accès: | Open Access |