BL-general fuzzy automata and minimal realization: Based on the associated categories

BL-general fuzzy automata and minimal realization: Based on the associated categories

The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzy behavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill-Nerode's theory while the other has been based on derivatives of the giv...

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Veröffentlicht in:Iranian journal of fuzzy systems (Online) 2020-01, Vol.17 (1), p.155
Hauptverfasser: Abolpour, Kh, Zahedi, M M, Shamsizadeh, M
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Control theory
Fuzzy sets
Mathematical functions
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Zusammenfassung:The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzy behavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill-Nerode's theory while the other has been based on derivatives of the given fuzzy behavior. Meanwhile, the categories of BL-general fuzzy automata and fuzzy behavior, along with a functorial relationship between them, are introduced.
ISSN:1735-0654
2676-4334
DOI:10.22111/ijfs.2020.5117