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Published in: Journal of Applied Mathematics and Computing 1-2/2016

01-06-2016 | Original Research

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

Authors: M. Shamsizadeh, M. M. Zahedi

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2016

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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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Literature
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go back to reference Atanassov, K., Stoeva, S.: Intuitionistic L-fuzzy sets. In: Trappl, R. (ed.) Cybernetics and Systems Research 2, pp. 539–540. Elsevier, North-Holland (1984) Atanassov, K., Stoeva, S.: Intuitionistic L-fuzzy sets. In: Trappl, R. (ed.) Cybernetics and Systems Research 2, pp. 539–540. Elsevier, North-Holland (1984)
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go back to reference Shamsizadeh, M., Zahedi, M.M.: Intuitionistic General Fuzzy Automata, submitted Shamsizadeh, M., Zahedi, M.M.: Intuitionistic General Fuzzy Automata, submitted
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go back to reference Zhang, X., Li, Y.: Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata. Soft Comput. 13, 611–616 (2009)CrossRefMATH Zhang, X., Li, Y.: Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata. Soft Comput. 13, 611–616 (2009)CrossRefMATH
Metadata
Title
A note on “Quotient structures of intuitionistic fuzzy finite state machines”
Authors
M. Shamsizadeh
M. M. Zahedi
Publication date
01-06-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2016
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-015-0913-7

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