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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:
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  2. K. Atanassov (1989). More on Intuitionistic Fuzzy Sets. In Fuzzy Sets and Systems, volume 33, pages 37-46.
  3. K. Atanassov (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Physica-Verlag.
  4. G. Choquet (1953-1954). Theory of capacities. In Ann. Inst. Fourier, volume 5, pages 131-295.
  5. 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.
  6. T. Gerstenkorn, Jacek Mańko (1991). Probability of Fuzzy Intuitionistic Sets. In BUSEFAL 45, pages 128-136.
  7. 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.
  8. 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.
  9. 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.
  10. G. Vitali (1925). Sulla definizione di integrale delle funzioni di una variabile. In Ann. Mat. Pura ed Appl. IV, 2, pages 111-121.
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See also

Category:Publications on fuzzy probabilities

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