| Title of paper:
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On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy sets
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| Author(s):
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| Krassimir Atanassov
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| Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Eulalia Szmidt
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Presented at:
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6th IWIFS, Banska Bystrica, 11 October 2010
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 16 (2010) Number 4, pages 26—30
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| Download:
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 PDF (113 Kb, Info)
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| Abstract:
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In the theory of fuzzy sets, various methods are discussed for the generation of values of the membership function (for instance, see [5, 6, 8, 9]). Here we will discuss a way of generation of the two degrees — of membership and of non-membership that exist in the intuitionistic fuzzy sets (IFSs). For other approaches of assigning membership and non-membership functions of IFSs, see [7].
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| References:
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- Atanassov, K. Intuitionistic Fuzzy Sets. Springer Physica-Verlag, Heidelberg, 1999.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer (in press).
- Atanassov, K., On index matrices. Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291-302.
- Atanassov, K. On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121-126.
- Buckley, J., Fuzzy Statistics, Springer, Berlin, 2004.
- Kaufmann A., Introduction a la theorie des sour-ensembles ous, Paris, Masson, 1977.
- Szmidt E. and Baldwin J. Intuitionistic fuzzy set functions, mass assignment theory, possibility theory and histograms. 2006 IEEE World Congress on Computational Intelligence, 2006, 237-243.
- Zadeh, L. Fuzzy sets. Information and Control, Vol. 8, 1965, 338-353.
- Zadeh L., The concept of a linguistic variable and its application to approximate reasoning, American Elsevier Publ. Co., New York, 1973.
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