Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

• Autore: Cristea Irina
• Pubblicazione: MDPI - Multidisciplinary Digital Publishing Institute, 2020
• Descrizione fisica: 1 online resource (208 p.)
• Soggetto non controllato: (hyper)homography; 1-hypergroup; application; breakable semigroup; clustering protocols; edge regular; ego networks; functions on multiset; fundamental equivalence relation; fundamental relation; fuzzy multi-Hv-ideal; fuzzy multiset; granular computing; height; Hv-ideal; Hv-ring; Hv-structures; hyperfield; hypergroup; hyperideal; hyperring; intuitionistic fuzzy soft hyper BCK ideal; intuitionistic fuzzy soft s-weak hyper BCK-ideal; intuitionistic fuzzy soft strong hyper BCK-ideal; intuitionistic fuzzy soft weak hyper BCK ideal; invertible subhypergroup; level hypergraphs; linear differential operator; lower approximation; lower BCK-semilattice; m-polar fuzzy equivalence relation; m-polar fuzzy hypergraphs; minimal prime decomposition; minimal prime factor; multiset; multisets; ordered group; perfect edge regular; q-rung picture fuzzy graphs; q-rung picture fuzzy line graphs; quasi-automaton; quasi-multiautomaton; relative annihilator; rough set; selection operation; semi-prime closure operation; semi-symmetry; semihypergroup; single-power cyclic hypergroup; square q-rung picture fuzzy graphs; submultiset; time-varying artificial neuron; transposition hypergroup; upper approximation; UWSN
• Sommario/riassunto: 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
• Titolo autorizzato: Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
• ISBN: 3-03928-709-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910404075603321
• Lo trovi qui: Univ. Federico II