Algebraic Operations on Fuzzy Sets and Relations in Automata Interpretation Implemented by Logical Hardware

Algebraic Operations on Fuzzy Sets and Relations in Automata Interpretation Implemented by Logical Hardware

Algebraic operations on fuzzy sets and relations and their implementation by hardware in automata interpretation are considered. Two ways of representing the values of membership functions of fuzzy sets and methods of transformation of such images are described. Appropriate estimates of the complexi...

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Veröffentlicht in:Cybernetics and systems analysis 2022-07, Vol.58 (4), p.649-659
Hauptverfasser: Kryvyi, S. L., Opanasenko, V. M., Zavyalov, S. B.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Algorithms
Artificial Intelligence
Control
Fuzzy logic
Fuzzy sets
Hardware
Mathematics
Mathematics and Statistics
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Zusammenfassung:Algebraic operations on fuzzy sets and relations and their implementation by hardware in automata interpretation are considered. Two ways of representing the values of membership functions of fuzzy sets and methods of transformation of such images are described. Appropriate estimates of the complexity of operations with such images are given and correctness of the algorithms is proved.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-022-00497-4