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Intuitionistic general fuzzy automata

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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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Acknowledgments

This work was partially supported by the Center of Excellence of Algebraic Hyper structures and its Applications of Tarbiat Modares University (CEAHA).

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Authors and Affiliations

  1. Department of Mathematics, Kerman Graduate University of Advanced Technology, Kerman, Iran

    M. Shamsizadeh & M. M. Zahedi

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  1. M. Shamsizadeh
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  2. M. M. Zahedi
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Correspondence to M. Shamsizadeh.

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The authors declare that they have no conflict of interest.

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Communicated by A. Di Nola.

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Shamsizadeh, M., Zahedi, M.M. Intuitionistic general fuzzy automata. Soft Comput 20, 3505–3519 (2016). https://doi.org/10.1007/s00500-015-1969-x

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