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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100 1 |a Cristea, Irina  |4 auth 
245 1 0 |a Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures 
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520 |a 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 
546 |a English 
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653 |a time-varying artificial neuron 
653 |a clustering protocols 
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653 |a multisets 
653 |a q-rung picture fuzzy line graphs 
653 |a semi-symmetry 
653 |a rough set 
653 |a quasi-multiautomaton 
653 |a height 
653 |a transposition hypergroup 
653 |a Hv-ring 
653 |a m-polar fuzzy hypergraphs 
653 |a Hv-structures 
653 |a selection operation 
653 |a upper approximation 
653 |a invertible subhypergroup 
653 |a breakable semigroup 
653 |a intuitionistic fuzzy soft weak hyper BCK ideal 
653 |a functions on multiset 
653 |a submultiset 
653 |a m-polar fuzzy equivalence relation 
653 |a semihypergroup 
653 |a granular computing 
653 |a q-rung picture fuzzy graphs 
653 |a linear differential operator 
653 |a perfect edge regular 
653 |a Hv-ideal 
653 |a lower BCK-semilattice 
653 |a square q-rung picture fuzzy graphs 
653 |a minimal prime decomposition 
653 |a level hypergraphs 
653 |a hyperfield 
653 |a quasi-automaton 
653 |a hyperring 
653 |a semi-prime closure operation 
653 |a edge regular 
653 |a UWSN 
653 |a (hyper)homography 
653 |a relative annihilator 
653 |a hypergroup 
653 |a intuitionistic fuzzy soft s-weak hyper BCK-ideal 
653 |a fundamental equivalence relation 
653 |a intuitionistic fuzzy soft hyper BCK ideal 
653 |a hyperideal 
653 |a lower approximation 
653 |a multiset 
653 |a fundamental relation 
653 |a ego networks 
653 |a application 
653 |a minimal prime factor 
653 |a single-power cyclic hypergroup 
653 |a ordered group 
653 |a fuzzy multiset 
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