Issue:On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:nifs/16/4/26-30

Title of paper: On some ways of determining membership and non-membership functions characterizing intuitionistic fuzzy sets Author(s): Krassimir Atanassov Dept. of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria krat@bas.bg Eulalia Szmidt Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland szmidt@ibspan.waw.pl Janusz Kacprzyk Systems Research Institute - Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland kacprzyk@ibspan.waw.pl Presented at: 6th IWIFS, Banska Bystrica, 11 October 2010 Published in: "Notes on IFS", Volume 16 (2010) Number 4, pages 26—30 Download:  PDF (113  Kb, File info) Abstract: 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]. References: 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. Citations: Issue:From fuzzy to intuitionistic fuzzy: Easy and lazy ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.