TY - BOOK ID - 64930634 TI - Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures PY - 2020 SN - 3039287095 3039287087 PB - MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - intuitionistic fuzzy soft strong hyper BCK-ideal KW - time-varying artificial neuron KW - clustering protocols KW - 1-hypergroup KW - fuzzy multi-Hv-ideal KW - multisets KW - q-rung picture fuzzy line graphs KW - semi-symmetry KW - rough set KW - quasi-multiautomaton KW - height KW - transposition hypergroup KW - Hv-ring KW - m-polar fuzzy hypergraphs KW - Hv-structures KW - selection operation KW - upper approximation KW - invertible subhypergroup KW - breakable semigroup KW - intuitionistic fuzzy soft weak hyper BCK ideal KW - functions on multiset KW - submultiset KW - m-polar fuzzy equivalence relation KW - semihypergroup KW - granular computing KW - q-rung picture fuzzy graphs KW - linear differential operator KW - perfect edge regular KW - Hv-ideal KW - lower BCK-semilattice KW - square q-rung picture fuzzy graphs KW - minimal prime decomposition KW - level hypergraphs KW - hyperfield KW - quasi-automaton KW - hyperring KW - semi-prime closure operation KW - edge regular KW - UWSN KW - (hyper)homography KW - relative annihilator KW - hypergroup KW - intuitionistic fuzzy soft s-weak hyper BCK-ideal KW - fundamental equivalence relation KW - intuitionistic fuzzy soft hyper BCK ideal KW - hyperideal KW - lower approximation KW - multiset KW - fundamental relation KW - ego networks KW - application KW - minimal prime factor KW - single-power cyclic hypergroup KW - ordered group KW - fuzzy multiset UR - https://www.unicat.be/uniCat?func=search&query=sysid:64930634 AB - 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 ER -