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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| Format: | Electronic Book Chapter |
| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2020
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| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| 042 | |a dc | ||
| 100 | 1 | |a Cristea, Irina |4 auth | |
| 245 | 1 | 0 | |a Symmetry in Classical and Fuzzy Algebraic Hypercompositional Structures |
| 260 | |b MDPI - Multidisciplinary Digital Publishing Institute |c 2020 | ||
| 300 | |a 1 electronic resource (208 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 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 | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 653 | |a intuitionistic fuzzy soft strong hyper BCK-ideal | ||
| 653 | |a time-varying artificial neuron | ||
| 653 | |a clustering protocols | ||
| 653 | |a 1-hypergroup | ||
| 653 | |a fuzzy multi-Hv-ideal | ||
| 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 | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://mdpi.com/books/pdfview/book/2344 |7 0 |z DOAB: download the publication |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/60381 |7 0 |z DOAB: description of the publication |