Publications

 

1.      Sur les mesures d'information de type Inf. (1974.) In Lectures Notes in Mathematics, #398, Springer-Verlag, 62-75.

2.      Estimation de la densite' d'un processus de Markov a temps continu (1977.) Comptes Rendus. Acad. Sci. Paris, A-284, 1397-1400.

3.      On fuzziness and linguistic probabilities (1977.) J. Math. Anal. and Appl., (61), 658-671.

4.      Sur l'estimation dans les processus de Markov (1978.) Comptes Rendus Acad. Sci. Paris, A-287, 1129-1132.

5.      A note on the extension principle for fuzzy sets (1978.) J. Math.Anal.and Appl., (64), 369-380.

6.      On random sets and belief functions (1978.) J. Math.Anal. and Appl., (65), 531-542.

7.      On conditional possibility distributions (1978.) J. Fuzzy Sets and Systems, (1), 299-309.

8.      Loi des grands nombres pour les martingales et applications a la statistique (1979)/with T. D. Pham. Comptes Rendus Acad. Sci. Paris, A-288, 303-305.

9.      Density estimation in a continuous-time, stationary Markov process. (1979.) Annals of Statistics, 7(2), 341-348.

10.  Some mathematical tools for linguistic probabilities (1979.) J. Fuzzy Sets and Systems, (2), 53-65.

11.  Sur l'utilisation du temps local en statistique des processus (1980)/with T. D. Pham. Comptes Rendus Acad. Sci. Paris, A-290, 165-168.

12.  Asymptotic normality of recursive density estimators in Markov processes (1981.) Pub. Inst. Statist. Univ. Paris, 73-79.

13.  Recursive estimation in diffusion model (1981)/with G. Banon. SIAM J. Control and Optimization, 19(5), 676-685.

14.  Identification of non-stationary diffusion model by the method of sieves. (1982)/with T.D.Pham. SIAM J. Control and Optimization, 20(5), 603-611.

15.  On the law of large numbers for continuous-time martingales and applications to statistics (1982)/with T. D. Pham. J. Stochastica, 6(1), 5-23.

16.  Recursive non-parametric estimation in stationary Markov processes. (1984.) Pub. Inst. Statist. Univ. Paris, 65-84.

17.  Estimation in change-point hazard rate models (1984)/with G. S. Rogers and E. A. Walker. Biometrika, 71(2), 299-304.

18.  Simulation studies of recursive estimators of the density and the drift term for diffusion processes (1984)/with G. Banon. Matematica Aplicade e Computacional, 3(1), 65-92.

19.  On modeling of linguistic information using random sets (1984.) J. Information Sciences, (34), 265-274.

20.  On point process sampling in continuous-time models (1985.) Pub. Inst. Statist. Univ. Paris, 73-95.

21.  Delayed exponential models in survival analysis (1985)/with G. S. Rogers and E. A. Walker. Pub. Inst. Statist. Univ. Paris, 59-85.

22.  On the modeling of expert knowledge and admissibility of uncertainty measures (1985.) J. Mathematical Modeling, (8), 222-226.

23.  On the entropy of random sets and possibility distributions (1987.) In The Analysis of Fuzzy Information (J. Bezdek, Ed.), Volume I, CRC Press, 145-156.

24.  Conditional objects and the modeling of uncertainties (1988)/with I. R. Goodman. In Fuzzy Computing (M. Gupta et al, Eds.), North Holland, 119-138.

25.  Nearest neighbor density estimation under serial dependence (1988)/with T. L. Tran. Pub. Inst. Statist. Univ. Paris, (1), 65-84.

26.  Strong consistency of maximum likelihood estimator in a change-point hazard rate model (1990)/with T. D. Pham. J. Statistics, 2(2), 203-216.

27.  Foundations of an algebraic theory of conditioning (1991)/with I. R. Goodman. J. Fuzzy Sets and Systems, (42), 103-117.

28.  On the scoring approach to admissibility of uncertainty measures in expert systems (1991)/with I. R. Goodman and G. S. Rogers. J. Math. Anal. and Appl., 159(2), 550-594.

29.  A random set formalism for evidential reasoning (1991)/with K.Hestir and G.S.Rogers. In Conditional Inference in Expert Systems (I. R. Goodman et al, Eds.), North Holland, 309-344.

30.  Intervals in Boolean rings: Approximation and Logic (1992.) J. Foundations of Computing and Decision Sciences, 17(3), 131-138.

31.  Bootstrapping the change-point in a hazard rate model (1993)/with T. D. Pham. J. Inst. Statist. Math., 45(2), 331-340.

32.  On dynamics of cautious belief and conditional objects (1993)/with P. Smets. J. Approximate Reasoning, (8), 89-104.

33.  Maximum entropy algorithms for uncertainty measures (1993)/with Y. Maeda and H. Ichihashi. J. Uncertainty, Fuzziness and Knowledge-Based Systems, (1), 69-93.

34.  A Theory of Conditional Information for Probabilistic Inference in Intelligent Systems/with I. R. Goodman. Part I (1993), In Advances in Fuzzy Theory and Technology (P. Wang, Ed.), 137-159; Part II (1994), J. Information Sciences, (76), 13-42: Part III (1993), J. Information Sciences, (75), 253-277.

35.  On decision-making using belief functions (1994)/with E. A. Walker. In Advances in The Dempster-Shafer Theory of Evidence (R.Yager et al, Eds.), J. Wiley, 311-330.

36.  On modeling of it-then rules for probabilistic inference (1994)/with I. R. Goodman. J. Intelligent Systems, (9), 411- 418.

37.  A history and introduction to the algebra of conditional events and probability logic (1994)/with E. A. Walker. IEEE Transactions of Man,Systems and Cybernetics, 24(2), 1671-1675.

38.  An average measure of sensitivity for fuzzy logics (1994)/with V. Kreinovich. J. Uncertainty,Fuzziness and Knowledge-Based Systems, 2(4), 361-375.

39.  Some mathematical tools for decision-making under partial knowledge. (1995.) Invited paper. In Mathematical Models for Handling Partial Knowledge in Artificial Intelligence (G. Coletti et al, Eds), Plenum Press, 129-156.

40.  Mathematical foundations of conditionals and their probabilistic assignments (1995)/with I. R. Goodman. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 3(3), 247-339.

41.  Towards theoretical foundations of soft computing applications (1995)/with V. Kreinovich. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 3(3), 341-373.

42.  On fuzzy inference based on alpha-level sets (1995)/with Y. Maeda. In Future Directions of Fuzzy Theory and Systems (Y.Lam et al, Eds), World Scientific, 142-150.

43.  On approximation of controls in distributed systems by fuzzy controllers (1996)/with V. Kreinovich and O. Sirisaengtaksin. In Fuzzy Logic and Soft Computing (B. Bouchon-Meunier et al, Eds), World Scientific, 137-145.

44.  Nested intervals and sets: Concepts, relations to fuzzy sets and applications (1996)/with V. Kreinovich. In Applications of Interval Computations (R. Kearfott et al, Eds), Kluwer Academic, 245-290.

45.  Is the success of fuzzy logic really paradoxical? (1996)/with O. Kosheleva and V. Kreinovich. J. of Intelligent Systems, 11(5), 295-326.

46.  Fuzzy control as a universal control tool (1996)/with V. Kreinovich and O. Sirisaengtaksin. J. Fuzzy Sets and Systems, (80), 71-86.

47.  On the formalization of optimization under elastic constraints (1996)/with B. Bouchon-Meunier, V. Kreinovich and A. Lokshin. J. Fuzzy Sets and Systems, (81), 5-29.

48.  Maximum entropy method in expert systems and intelligent control: new possibilities and limitations (1996)/with V. Kreinovich and E. A. Walker. In Maximum Entropy and Bayesian Methods (K. M. Hanson and R. N. Silver, Eds), Kluwer Academic, 93-100.

49.  From numerical intervals to set-intervals (1997)/with V. Kreinovich. J. Reliable Computing, (3), 1-8.

50.  On capacity functionals in interval probabilities (1997)/with N. Nguyen. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 5(3), 359-377.

51.  Intelligent control in space exploration: Interval computations are needed (1997)/with V. Kreinovich. SIGNUM, Newsletter, 32(1&2), 17-36.

52.  Kolmogorov's theorem and its impact on soft computing (1997)/with V. Kreinovich. In The Ordered Weighted Averaging Operators (R. Yager and J. Kacprzyk, Eds), Kluwer Academic, 3-17.

53.  On hardware support for interval computations and for soft computing: Theorems. (1997)/with V. Kreinovich, V. Nesterov and M. Nakamura. IEEE Transactions on Fuzzy Systems, 5(1), 108-127.

54.  Interval-valued degrees of belief: Applications of interval computations to expert systems and intelligent control (1997)/with V. Kreinovich and Q. Zuo. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 5(3), 317-358.

55.  Multi-criteria optimization: An important foundation of fuzzy system design.(1998) (with V. Kreinovich.) In Fuzzy Systems Design (L. Resnik, V. Dimitrov and J. Kacprzyk, Eds), Physica-Verlag, Heidelberg, 24-35.

56.  Methodology of fuzzy control (1998) (with V. Kreinovich.) In Fuzzy Systems: Modeling and Control (H. T. Nguyen and M.Sugeno, Eds..) Kluwer Academic, Boston, 19-62.

57.  Fuzzy rule based modeling as a universal approximation tool (1998) (with V. Kreinovich and G. Mouzouris.) In Fuzzy Systems: Modeling and Control (H. T. Nguyen and M. Sugeno, Eds.) Kluwer Academic, Boston, 135-195.

58.  A negative version of Choquet theorem for polish spaces (1998) (with N. Nguyen.) East-West Journal of Mathematics, vol. 1, no. 1, 61-71.

59.  On the possibility of using complex values in fuzzy logic for representing inconsistencies (1998) (with V. Kreinovich and V. Shekhter.) Intern. J. Intelligent Systems, vol. 13, 683-714.

60.  Strict archimedian t-norms and t-conorms as universal approximators (1998) (with V. Kreinovich and P. Wojciechowski.) Intern. J. Approximate Reasoning, vol. 18, 239-249.

61.  Justification of heuristic methods in data processing using fuzzy theory with applications to detection of business cycles from fuzzy data (1999) (with V. Kreinovich and B. Wu), East-West Journal of Mathematics, vol 1, No 2, 147 - 157.

62.  How to divide a territory? A new simple differential formalism for optimization of set-functions (with V. Kreinovich.) Intern. J.of Intelligent Systems, vol. 14, 223-251 (1999.)

63.  Probability updating using second order probabilities and conditional event algebra (with I. R. Goodman). Information Sciences, no. 121 (1999), 295-347.

64.  Chu spaces in uncertainty analysis (2000) (with N. Nguyen.) To appear in Intern. Journal of Intelligent Systems.

65.  Some mathematical structures for computational information. Information Sciences, no. 128 (2000), 67-89.

66.  Fuzzy Systems are universal approximators for a smooth function and its derivative. (with V. Kreinovich and Y. Yam.) Intern. Journal of Intelligent Systems, vol. 15, 565-574, (2000).

67.  Gaussian processes and martingles for fuzzy-valued random variables with continuous parameter, (with S. Li and Y. Ogura). Journal of Information Sciences, Vol. 133:7-21, 2001.

68.  Fuzziness and randomness (with I. R. Goodman). In Statistical Modeling, Analysis and Management of Fuzzy Data (C. Bertoluzza et al, Eds.), 3-21, Physica-Verlag.

69.  Unimodality, independence lead to NP-Hardness of interval probability problems, (with Daniel J. Berleant, Olga Kosheleva, Vladik Kreinovich). Reliable Computing, Vol. 13, 261-282, 2007.

70.  On a continuous lattice approach to modeling of coarse data in system analysis, Journal of Uncertain Systems, 1(1), 62-73, 2007.

71.  Asymmetric information measures: how to extract knowledge from an expert so that the expertís effort is minimal, (with Vladik Kreinovich and Elizabeth Kamoroff). Int. J. Automation and Control, Vol. 2, Nos. 2/3, 2008.

72.  Statistical hypothesis testing under interval uncertainty: an overview, (with Vladik Kreinovich and Sa-aat Niwitpong). International Journal of Intelligent technology and Applied Statistics, Vol.1, No. 1, pp. 1-33, 2008.

73.  Logit discrete choice model: a new distribution-free justification, (with Ruey L. Cheu, Tanja Magoc, and Vladik Kreinovich). Soft Computing, Vol. 13: 133-137, 2009.

74.  Random Fuzzy Sets, (with Vladik Kreinovich and Gang Xiang). In Intelligent Data Analysis (H.F. Wang, ed.), Information Science Reference, pp:18-44, 2009.

75.  A new justification of Wang transform operator in financial risk analysis. International Journal of Intelligent Technologies and Applied Statistics, 2(1), 45-57, 2009.