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Applications of Hyperstructure Theory

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ISBN-10: 1402012225

ISBN-13: 9781402012228

Edition: 2003

Authors: Piergiulio Corsini, V. Leoreanu

List price: $219.99
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Description:

The authors present some of the numerous applications of hyperstructures, especially those that were found and studied in the last 15 years.
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Book details

List price: $219.99
Copyright year: 2003
Publisher: Springer
Publication date: 3/31/2003
Binding: Hardcover
Pages: 322
Size: 6.50" wide x 9.50" long x 0.75" tall
Weight: 1.430

Introduction
Basic notions and results on Hyperstructure Theory
Some topics of Geometry
Descriptive geometries and join spaces
Spherical geometries and join spaces
Projective geometries and join spaces
Multivalued loops and projective geometries
Graphs and Hypergraphs
Generalized graphs and hypergroups
Chromatic quasi-canonical hypergroups
Hypergroups induced by paths of a direct graph
Hypergraphs and hypergroups
On the hypergroup H[subscript Gamma] associated with a hypergraph [Gamma]
Other hyperstructures associated with hypergraphs
Binary Relations
Quasi-order hypergroups
Hypergroups associated with binary relations
Hypergroups associated with union, intersection, direct product, direct limit of relations
Relation [beta] in semihypergroups
Lattices
Distributive lattices and join spaces
Lattice ordered join space
Modular lattices and join spaces
Direct limit and inverse limit of join spaces associated with lattices
Hyperlattices and join spaces
Fuzzy sets and rough sets
Direct limit and inverse limit of join spaces associated with fuzzy subsets
Rough sets, fuzzy subsets and join spaces
Direct limits and inverse limits of join spaces associated with rough sets
Hyperstructures and Factor Spaces
Hypergroups induced by a fuzzy subset. Fuzzy hypergroups
Fuzzy subhypermodules over fuzzy hyperrings
On Chinese hyperstructures
Automata
Language theory and hyperstructures
Automata and hyperstructures
Automata and quasi-order hypergroups
Cryptography
Algebraic cryptography and hypergroupoids
Cryptographic interpretation of some hyperstructures
Codes
Steiner hypergroupoids and Steiner systems
Some basic notions about codes
Steiner hypergroups and codes
Median algebras, Relation algebras, C-algebras
Median algebras and join spaces
Relation algebras and quasi-canonical hypergroups
C-algebras and quasi-canonical hypergroups
Artificial Intelligence
Generalized intervals. Connections with quasi-canonical hypergroups
Weak representations of interval algebras
Probabilities
Bibliography