Issue:An experimental analysis of some measures of information and knowledge for intuitionistic fuzzy sets

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Title of paper: An experimental analysis of some measures of information and knowledge for intuitionistic fuzzy sets Author(s): 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 Paweł Bujnowski Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland Presented at: 16th ICIFS, Sofia, 9-10 September 2012 Published in: Conference proceedings, "Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 3, pages 39—48 Download:  PDF (198  Kb, File info) Abstract: The evaluation of information and knowledge conveyed by an Atanassov’s intuitionistic fuzzy set (A-IFS, for short) is discussed. We pay particular attention to the relationship between positive and negative knowledge (expressed by the entropy which may be seen as a dual measure to information), and also take into account the reliability of information expressed by the hesitation margin. Keywords: Intuitionistic fuzzy sets, amount of information, amount of knowledge, entropy, hesitation margin. AMS Classification: 03E72 References: Atanassov, K. Intuitionistic Fuzzy Sets. VII ITKR Session. Sofia, 1983 (Deposed in Centr. Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Atanassov, K. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, Vol. 20, 1986, 87–96. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, 1999. Atanassov, K., V. Tasseva, E. Szmidt, J. Kacprzyk. On the geometrical interpretations of the intuitionistic fuzzy sets. In: Issues in the Representation and Processing of Uncertain and Imprecise Information. 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