| Title of paper:
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Fuzzy justification of heuristic methods in inverse problems and in numerical computations, with applications to detection of business cycles from fuzzy and intuitionistic fuzzy data
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| Author(s):
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| Vladik Kreinovich
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| Department of Computer Science University of Texas at El Paso, El Paso, TX 79968
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| Hung Nguyen
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| Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88003, USA
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| Berlin Wu
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| Department of Applied Mathematics National Chengchi University, Taipei, Taiwan, China
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| Krassimir Atanassov
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| CLBME - Bulgarian Academy of Sciences, Sofia-1113, P.O.Box 12, Bulgaria
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| Presented at:
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2nd ICIFS, Sofia, 3—4 Oct. 1998
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 4 (1998) Number 2, pages 47—56
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| Download:
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 PDF (5472 Kb, File info)
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| References:
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- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy sets and Systems, Vol. 20 (1986), No. 1, 87-96.
- G. Klir and B. Yuan, Fuzzy sets and fuzzy logic: theory and applications. Prentice Hall, Upper Saddle River, NJ, 1995.
- V. Kreinovich, C.-C. Chang, L. Reznik, and G. N. Solopchenko, "Inverse problem-s: fuzzy representation of uncertainty generates a regularization", In: Proceedings of NAFIPS'92: North American Fuzzy Information Processing Society Conference, Puerto Vallarta, Mexico, December 15-17, 1992, NASA Johnson Space Center, Hous¬ton, TX, 1992, pp. 418-426.
- H. T. Nguyen, V. Kreinovich, and B. Bouchon-Meunier, "Soft Computing Explains Heuristic Numerical Methods in Data Processing and in Logic Programming", Working Notes of the AAAI Symposium on Frontiers in Soft Computing and Decision Systems, Boston, MA, November 8-10, 1997, pp. 40-45.
- H. T. Nguyen, V. Kreinovich, and B. Bouchon-Meunier, "Soft Computing Explains Heuristic Numerical Methods in Data Processing and in Logic Programming", Heuristics: The Journal of Intelligent Technology, 1998 (to appear).
- H. T. Nguyen and E. A. Walker, A first course in fuzzy logic, CRC Press, Boca Raton, Florida, 1997.
- A. N. Tikhonov and V. Y. Arsenin. Solutions of ill-posed problems, V. H. Winston & Sons, Wasnington, DC, 1977.
- N. A. Zheludeva, V. Kreinovich, and G. N. Solopchenko, Applicability criteria and accuracy estimates for heuristic methods of solving inverse problems, Leningrad Center of New Technology "Informatika", Technical Report, Leningrad, 1989 (in Russian).
- B. Wu and S.-L. Hung, "Pattern recognition for nonlinear time series: with examples for distinguishing ARCH and bilinear models", Fuzzy Sets and Systems, 1998 (to appear).
- B. Wu and M.-C. Liaw, Application of fuzzy time series analysis to change period detection, Technical Report, Department of Mathematical Sciences and Statistics, National Chengchi University, Taipei, Taiwan, China, 1998.
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| Citations:
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