Issue:Monotone measures of intuitionistic fuzzy sets

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Title of paper: Monotone measures of intuitionistic fuzzy sets Author(s): Piotr Nowak Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warszawa, Poland pnowak@ibspan.waw.pl Presented at: 3rd Conference of the European Society for Fuzzy Logic and Technology, Zittau, Germany, September 10-12, 2003 Published in: Conference proceedings, pages 172-176 Download:  PDF (483  Kb, File info) Abstract: Our main goal is to extend the domain of a monotone measure to a class of intuitionistic fuzzy sets. The extension is made by using of the Choquet integral. Keywords: Monotone Measure, Fuzzy measure, Intuitionistic Fuzzy Set, Choquet Integral, Probability of an Intuitionistic Fuzzy Event References: K. Atanassov (1986). Intuitionistic fuzzy sets. In Fuzzy Sets and Systems, volume 20, pages 87-96. K. Atanassov (1989). More on Intuitionistic Fuzzy Sets. In Fuzzy Sets and Systems, volume 33, pages 37-46. K. Atanassov (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag. G. Choquet (1953-1954). Theory of capacities. In Ann. Inst. Fourier, volume 5, pages 131-295. D. Denneberg (2000). Non-additive Measure and Integral, Basic Concepts and Their Role for Applications. In Fuzzy Measures and Integrals. Theory and Applications. Physica-Verlag Heilderberg, pages 42-69. T. Gerstenkorn, Jacek Mańko (1991). Probability of Fuzzy Intuitionistic Sets. In BUSEFAL 45, pages 128-136. P. Grzegorzewski, E. Mrówka (2002). Probability of Intuitionistic Fuzzy Events. In Soft Methods in Probability. Statistics and data Analysis. Springer - Physica Verlag, Heidelberg, 2002, pages 105-115. E. Szmidt E., J. Kacprzyk (1999a). A Concept of a Probability of an Intuitionistic Fuzzy Event. In Proceedings of the 1999 IEEE International Fuzzy Systems Conference, pages 1346-1349, Seoul, 1999. E. Szmidt, J. Kacprzyk (1999b). Probability of Intuitionistic Fuzzy Events and Their Applications in Decision Making. In Proceedings of the 9th Congreso EUSFLAT’99, pages 457-460. G. Vitali (1925). Sulla definizione di integrale delle funzioni di una variabile. In Ann. Mat. Pura ed Appl. IV, 2, pages 111-121. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page. See also Category:Publications on fuzzy probabilities