03893nam 2200949z- 450 991040407560332120231214133602.03-03928-709-5(CKB)4100000011302382(oapen)https://directory.doabooks.org/handle/20.500.12854/60381(EXLCZ)99410000001130238220202102d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierSymmetry in Classical and Fuzzy Algebraic Hypercompositional StructuresMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (208 p.)3-03928-708-7 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 theintuitionistic fuzzy soft strong hyper BCK-idealtime-varying artificial neuronclustering protocols1-hypergroupfuzzy multi-Hv-idealmultisetsq-rung picture fuzzy line graphssemi-symmetryrough setquasi-multiautomatonheighttransposition hypergroupHv-ringm-polar fuzzy hypergraphsHv-structuresselection operationupper approximationinvertible subhypergroupbreakable semigroupintuitionistic fuzzy soft weak hyper BCK idealfunctions on multisetsubmultisetm-polar fuzzy equivalence relationsemihypergroupgranular computingq-rung picture fuzzy graphslinear differential operatorperfect edge regularHv-ideallower BCK-semilatticesquare q-rung picture fuzzy graphsminimal prime decompositionlevel hypergraphshyperfieldquasi-automatonhyperringsemi-prime closure operationedge regularUWSN(hyper)homographyrelative annihilatorhypergroupintuitionistic fuzzy soft s-weak hyper BCK-idealfundamental equivalence relationintuitionistic fuzzy soft hyper BCK idealhyperideallower approximationmultisetfundamental relationego networksapplicationminimal prime factorsingle-power cyclic hypergroupordered groupfuzzy multisetCristea Irinaauth739796BOOK9910404075603321Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures3024326UNINA