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A note on “Quotient structures of intuitionistic fuzzy finite state machines”

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Abstract

In this note we show that there is a superfluous condition, in Definition 3.5 of (2007), so this holds for Proposition 3.7 (2006), Definition 3.6 (2009) and Definition 4.4 (2009). Also, we show that, in spite of the claim in Theorem 3.6 of (2007) is correct but there are some mistakes in its proof. Finally, by given an example we show that Lemma 3.7 of (2007) is not correct in general, and give a correct version and finally we extended the results to L-intuitionistic case.

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Acknowledgments

This work was partially supported by Center of Excellence of Algebraic Hyperstructures 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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Shamsizadeh, M., Zahedi, M.M. A note on “Quotient structures of intuitionistic fuzzy finite state machines”. J. Appl. Math. Comput. 51, 413–423 (2016). https://doi.org/10.1007/s12190-015-0913-7

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  • DOI: https://doi.org/10.1007/s12190-015-0913-7

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