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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Year of Publication:2020
Language:English
Physical Description:1 electronic resource (208 p.)
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spelling Cristea, Irina auth
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
MDPI - Multidisciplinary Digital Publishing Institute 2020
1 electronic resource (208 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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
English
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
3-03928-708-7
language English
format eBook
author Cristea, Irina
spellingShingle Cristea, Irina
Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
author_facet Cristea, Irina
author_variant i c ic
author_sort Cristea, Irina
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_auth Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
title_new Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
title_sort symmetry in classical and fuzzy algebraic hypercompositional structures
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2020
physical 1 electronic resource (208 p.)
isbn 3-03928-709-5
3-03928-708-7
illustrated Not Illustrated
work_keys_str_mv AT cristeairina symmetryinclassicalandfuzzyalgebraichypercompositionalstructures
status_str n
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is_hierarchy_title Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures
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