| Title of paper:
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Sugeno integral with respect to intuitionistic fuzzy-valued measures
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| Author(s):
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| Adrian Ban
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| Department of Matematics, University of Oradea, str. Armatei Romane 5, 410087 Oradea, Romania
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| aiban@uoradea.ro
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| Presented at:
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9th ICIFS, Sofia, 7-8 May 2005
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 11 (2005) Number 2, pages 47—61
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| Download:
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 PDF (5830 Kb, Info)
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| Abstract:
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We introduce the Sugeno integral of intuitionistic fuzzy-valued mappings with respect to intuitionistic fuzzy-valued fuzzy measures. A decomposition theorem to Sugeno integral of real-valued mappings with respect to fuzzy measures, some properties and examples of calculus are given.
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| References:
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- Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
- Atanassov, K. T., Intuitionistic Fuzzy Sets: Theory and Applications, Springer-Physica Verlag, Heidelberg, 1999.
- Ban, A. I., Intuitionistic fuzzy-valued fuzzy measures, Proceedings of IEEE Second International Conference on Intelligent Systems, Varna, June 2004, 427-429.
- Liu, Xuecheng, Study on the dual problems in the theory of fuzzy measure and fuzzy integral, Journal of Fuzzy Mathematics, 2 (1994), 555-563.
- Sugeno, M., Theory of fuzzy integrals and its applications, Doctoral Thesis, Tokyo Institute of Technology, 1974.
- Wang, Z. and Klir, G., Fuzzy Measure Theory, Plenum Press, 1992.
- Zhang, Guangquan and Meng, Xianli, Lattice-valued fuzzy integrals of lattice-valued functions with respect to lattice-valued functions with respect to lattice-valued fuzzy measure, Journal of Fuzzy Mathematics, 1 (1993), 53-68.
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