Title of paper:
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Short remark on interval type-2 fuzzy sets and intuitionistic fuzzy sets
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Author(s):
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Oscar Castillo
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Tijuana Institute of Technology, Division of Graduate Studies, Tijuana, Mexico
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ocastillo@tectijuana.mx
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Patricia Melin
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Tijuana Institute of Technology, Division of Graduate Studies, Tijuana, Mexico
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pmelin@tectijuana.mx
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Radoslav Tsvetkov
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Technical University of Sofia, St, Kliment Ohridski Boulevard 8
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rado_tzv@tu-sofia.bg
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Krassimir Atanassov
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Bioinformatics and Mathematical Modelling Department, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., Sofia 1113, Bulgaria Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas–8010, Bulgaria
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krat@bas.bg
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Presented at:
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19th International Conference on Intuitionistic Fuzzy Sets, 4–6 June 2015, Burgas, Bulgaria
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Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 2, pages 1—5
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Download:
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PDF (147 Kb, File info)
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Abstract:
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Here we construct intuitionistic fuzzy sets with integral form of their degrees of membership and non-membership, that cover interval type-2 fuzzy sets.
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Keywords:
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Interval type-2 fuzzy set, Intuitionistic fuzzy set.
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AMS Classification:
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03E72
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References:
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- Atanassov, K., Intuitionistic Fuzzy Sets, Springer, Heidelberg, 1999.
- Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Castillo, O., Type-2 Fuzzy Logic in Intelligent Control Applications, Springer, Berlin, 2012.
- Castillo, O., and P. Melin. Type-2 Fuzzy Logic: Theory and Applications, Springer, Berlin, 2008.
- Castillo, O., P. Melin, R. Tsvetkov and K. Atanassov. Short remark on interval type-2 fuzzy sets and intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(2), 2014, 1–5.
- Mendel, J. M., Uncertain Rule-Based Fuzzy Logic Systems: Introduction and new directions, Prentice Hall, New Jersey, 2001.
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Citations:
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