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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| פורמט: | Online |
| שפה: | אנגלית |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| גישה מקוונת: | 46150 |
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| _version_ | 1869519499037769728 |
|---|---|
| author | Cristea, Irina |
| author_browse | Cristea, Irina |
| author_facet | Cristea, Irina |
| author_sort | Cristea, Irina |
| collection | Directory of Open Access Books |
| description | 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 |
| format | Online |
| id | doab-20.500.12854ir-60381 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-603812023-12-20T18:40:38Z Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures Cristea, Irina QA1-939 Q1-390 intuitionistic fuzzy soft strong hyper BCK-ideal time-varying artificial neuron clustering protocols 1-hypergroup fuzzy multi-Hv-ideal multisets q-rung picture fuzzy line graphs semi-symmetry rough set quasi-multiautomaton height transposition hypergroup Hv-ring m-polar fuzzy hypergraphs Hv-structures selection operation upper approximation invertible subhypergroup breakable semigroup intuitionistic fuzzy soft weak hyper BCK ideal functions on multiset submultiset m-polar fuzzy equivalence relation semihypergroup granular computing q-rung picture fuzzy graphs linear differential operator perfect edge regular Hv-ideal lower BCK-semilattice square q-rung picture fuzzy graphs minimal prime decomposition level hypergraphs hyperfield quasi-automaton hyperring semi-prime closure operation edge regular UWSN (hyper)homography relative annihilator hypergroup intuitionistic fuzzy soft s-weak hyper BCK-ideal fundamental equivalence relation intuitionistic fuzzy soft hyper BCK ideal hyperideal lower approximation multiset fundamental relation ego networks application minimal prime factor single-power cyclic hypergroup ordered group fuzzy multiset bic Book Industry Communication::P Mathematics & science 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 2021-02-12T05:04:20Z 2021-02-12T05:04:20Z 2020-06-09 16:38:57 2020 book 46150 9783039287093 9783039287086 https://directory.doabooks.org/handle/20.500.12854/60381 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/2344 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-709-3 10.3390/books978-3-03928-709-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039287093 9783039287086 208 open access |
| spellingShingle | QA1-939 Q1-390 intuitionistic fuzzy soft strong hyper BCK-ideal time-varying artificial neuron clustering protocols 1-hypergroup fuzzy multi-Hv-ideal multisets q-rung picture fuzzy line graphs semi-symmetry rough set quasi-multiautomaton height transposition hypergroup Hv-ring m-polar fuzzy hypergraphs Hv-structures selection operation upper approximation invertible subhypergroup breakable semigroup intuitionistic fuzzy soft weak hyper BCK ideal functions on multiset submultiset m-polar fuzzy equivalence relation semihypergroup granular computing q-rung picture fuzzy graphs linear differential operator perfect edge regular Hv-ideal lower BCK-semilattice square q-rung picture fuzzy graphs minimal prime decomposition level hypergraphs hyperfield quasi-automaton hyperring semi-prime closure operation edge regular UWSN (hyper)homography relative annihilator hypergroup intuitionistic fuzzy soft s-weak hyper BCK-ideal fundamental equivalence relation intuitionistic fuzzy soft hyper BCK ideal hyperideal lower approximation multiset fundamental relation ego networks application minimal prime factor single-power cyclic hypergroup ordered group fuzzy multiset bic Book Industry Communication::P Mathematics & science Cristea, Irina Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title | Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title_full | Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title_fullStr | Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title_full_unstemmed | Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title_short | Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| title_sort | symmetry in classical and fuzzy algebraic hypercompositional structures |
| topic | QA1-939 Q1-390 intuitionistic fuzzy soft strong hyper BCK-ideal time-varying artificial neuron clustering protocols 1-hypergroup fuzzy multi-Hv-ideal multisets q-rung picture fuzzy line graphs semi-symmetry rough set quasi-multiautomaton height transposition hypergroup Hv-ring m-polar fuzzy hypergraphs Hv-structures selection operation upper approximation invertible subhypergroup breakable semigroup intuitionistic fuzzy soft weak hyper BCK ideal functions on multiset submultiset m-polar fuzzy equivalence relation semihypergroup granular computing q-rung picture fuzzy graphs linear differential operator perfect edge regular Hv-ideal lower BCK-semilattice square q-rung picture fuzzy graphs minimal prime decomposition level hypergraphs hyperfield quasi-automaton hyperring semi-prime closure operation edge regular UWSN (hyper)homography relative annihilator hypergroup intuitionistic fuzzy soft s-weak hyper BCK-ideal fundamental equivalence relation intuitionistic fuzzy soft hyper BCK ideal hyperideal lower approximation multiset fundamental relation ego networks application minimal prime factor single-power cyclic hypergroup ordered group fuzzy multiset bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 intuitionistic fuzzy soft strong hyper BCK-ideal time-varying artificial neuron clustering protocols 1-hypergroup fuzzy multi-Hv-ideal multisets q-rung picture fuzzy line graphs semi-symmetry rough set quasi-multiautomaton height transposition hypergroup Hv-ring m-polar fuzzy hypergraphs Hv-structures selection operation upper approximation invertible subhypergroup breakable semigroup intuitionistic fuzzy soft weak hyper BCK ideal functions on multiset submultiset m-polar fuzzy equivalence relation semihypergroup granular computing q-rung picture fuzzy graphs linear differential operator perfect edge regular Hv-ideal lower BCK-semilattice square q-rung picture fuzzy graphs minimal prime decomposition level hypergraphs hyperfield quasi-automaton hyperring semi-prime closure operation edge regular UWSN (hyper)homography relative annihilator hypergroup intuitionistic fuzzy soft s-weak hyper BCK-ideal fundamental equivalence relation intuitionistic fuzzy soft hyper BCK ideal hyperideal lower approximation multiset fundamental relation ego networks application minimal prime factor single-power cyclic hypergroup ordered group fuzzy multiset bic Book Industry Communication::P Mathematics & science |
| url | 46150 |
| work_keys_str_mv | AT cristeairina symmetryinclassicalandfuzzyalgebraichypercompositionalstructures |