Fuzzy/probability ∼ Fractal/smooth

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 7, Issue 4, 1999, Pages 363-370

  Nguyen, Hung T ^a   Kreinovich, Vladik ^b   Wu, Berlin ^c  

^a NEW MEXICO STATE UNIVERSITY   (United States)

^b University of Texas at El Paso   (United States)

^c NATIONAL CHENGCHI UNIVERSITY   (Taiwan)

Author keywords

Fractal; Fuzzy; Multi D degrees of belief; Probability

Indexed keywords

EID: 0000902921     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488599000313     Document Type: Article

References (16)

1. J. M. Blin, "Fuzzy relations in group decision theory", J. of Cybernetics 4 (1974) 17-22.
2. J. M. Blin and A. B. Whinston, "Fuzzy sets and social choice", J. of Cybernetics 3 (1973) 28-36.
3. B. Bouchon-Meunier et al., "On the formulation of optimization under elastic constraints (with control in mind)", Fuzzy Sets and Systems 81 (1996) 5-29.
4. D. Dubois and H. Prade, Fuzzy sets and systems: theory and applications (Academic Press, N.Y., London, 1980).
5. A. Finkelstein, O. Kosheleva, and V. Kreinovich, "Astrogeometry: towards mathematical foundations", International Journal of Theoretical Physics 36 (1997) No. 4, 1009-1020.
6. A. M. Finkelstein, V. Kreinovich, and R. R. Zapatrin, "Fundamental physical equations uniquely determined by their symmetry groups," Lecture Notes in Mathematics, (Springer-Verlag, Berlin-Heidelberg-N.Y., Vol. 1214, 1986) 159-170.
7. A. Frank and K. B. Wolf, Symmetries in physics (Springer-Verlag, Berlin, N.Y., 1992).
8. G. Klir and B. Yuan, Fuzzy sets and fuzzy logic: theory and applications (Prentice Hall, Upper Saddle River, NJ, 1995).
9. V. Kreinovich, C. Quintana, and R. Lea, "What procedure to choose while designing a fuzzy control? Towards mathematical foundations of fuzzy control", Working Notes of the 1st International Workshop on Industrial Applications of Fuzzy Control and Intelligent Systems (College Station, TX, 1991) 123-130.
10. V. Kreinovich et al., "What non-linearity to choose? Mathematical foundations of fuzzy control", Proceedings of the 1992 International Conference on Fuzzy Systems and Intelligent Control (Louisville, KY, 1992) 349-412.
11. C. Langrand, V. Kreinovich and H. T. Nguyen, "Two-dimensional fuzzy logic for expert systems", Sixth International Fuzzy Systems Association World Congress (San Paulo, Brazil, July 22-28, 1995) 1 221-224.
12. B. B. Mandelbrot, The fractal geometry of Nature (Freeman, San Francisco, 1982).
13. H. T. Nguyen and V. Kreinovich, "Towards theoretical foundations of soft computing applications", Int'l J. on Uncertainty, Fuzziness, and Knowledge-Based Systems 3 (1995) No. 3, 341-373.
14. H. T. Nguyen and V. Kreinovich, Applications of continuous mathematics to computer science (Kluwer, Dordrecht, 1997).
15. E. R. Scerri, V. Kreinovich, P. Wojciechowski, and R. R. Yager, "Ordinal explanation of the periodic system of chemical elements", International Journal of Uncertainty, Fuzziness, and Knowledge-Based Systems (IJUFKS) 6 (1998) No. 4, 387-399.
16. M. H. Smith and V. Kreinovich, "Optimal strategy of switching reasoning methods in fuzzy control", In H. T. Nguyen et al. (eds.), Theoretical aspects of fuzzy control (J. Wiley, N.Y., 1995) 117-146.