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Soft Computing

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07.12.2015 | Foundations

Intuitionistic general fuzzy automata

verfasst von: M. Shamsizadeh, M. M. Zahedi

Erschienen in: Soft Computing | Ausgabe 9/2016

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Abstract

In this paper, by considering the notions of general fuzzy automata, admissible relation, admissible partition and intuitionistic fuzzy set based on the Atanassov (Fuzzy Sets Syst 20(1):87–96, 1986), we define the concepts intuitionistic general fuzzy automaton (IGFA), max–min intuitionistic general fuzzy automaton, admissible relation for the IGFA, admissible partition for the IGFA, quotient IGFA and language for an IGFA. In particular, a connection between the admissible partition and the quotient IGFA is presented and it is shown that any quotient of a given IGFA and the IGFA itself has the same language. Also, using the above notions, some related theorems are proved and, finally, some examples are given to clarify these new notions.

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Titel: Intuitionistic general fuzzy automata
verfasst von: M. Shamsizadeh
M. M. Zahedi
Publikationsdatum: 07.12.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 9/2016
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-015-1969-x

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