Applications of Hyperstructure Theory
By: by Piergiulio Corsini, Violeta Leoreanu
Contributors: Leoreanu, Violeta
Series: Advances in Mathematics -- 5; Advances in Mathematics -- 5
Publisher: Springer US
Published: 2003
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 322
ISBN-13: 9781441952455; 9781475737141
Subjects: Group theory; Computational complexity; Symbolic and mathematical Logic; Algebra; Mathematics; Combinatorial analysis
Description: This book presents some of the numerous applications of hyperstructures, especially those that were found and studied in the last fifteen years. There are applications to the following subjects: 1) geometry; 2) hypergraphs; 3) binary relations; 4) lattices; 5) fuzzy sets and rough sets; 6) automata; 7) cryptography; 8) median algebras, relation algebras; 9) combinatorics; 10) codes; 11) artificial intelligence; 12) probabilities. Audience: Graduate students and researchers.
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Table of contents: title: Introduction; title: 1: Some topics of Geometry; title: 2: Graphs and Hypergraphs; title: 3: Binary Relations; title: 4: Lattices; title: 5: Fuzzy sets and rough sets; title: 6: Automata.-7: Cryptography; title: 8: Codes; title: 9: Median algebras, Relation algebras, C-algebras; title: 10: Artificial Intelligence; title: 11: Probabilities; title: Bibliography.