Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures

• Main Author: Cristea, Irina (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: 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
• Online Access: DOAB: download the publication; DOAB: description of the publication

Summary

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

Physical Description

1 electronic resource (208 p.)

ISBN

books978-3-03928-709-3
9783039287093
9783039287086

Access

Open Access