Hung Nguyen

Department of Mathematical Sciences
New Mexico State University
Las Cruces, NM 88003-8001
hunguyen@nmsu.edu
Phone: 575-646-2105
Fax: 575-646-1064

A. PROFESSIONAL INFORMATION
1. Personal data: Born: March 10, 1944. Citizen of the USA.

2. Education:
Bachelor of Science (Mathematics): University of Paris XI (France), 1967.
Master of Science (Probability): University of Paris VI (France), 1968.
Third Cycle Thesis (Probability): University of Paris VI (France), 1970.
Ph.D. (Mathematics): University of Lille (France), 1975.

3. Academic positions:
1975 - 1977: Research Associate, University of California, Berkeley.
1977 - 1981: Visiting Assistant Professor of Mathematics and Statistics, University of Massachusetts, Amherst.
1981 - 1983: Assistant Professor of Mathematical Sciences, New Mexico State University, Las Cruces.
1983 - 1988: Associate Professor of Mathematical Sciences, New Mexico State University, Las Cruces.
1988 - present: Professor of Mathematical Sciences, New Mexico State University, Las Cruces.

4. Awards and recognition:
Distinguished Faculty Fellow (summers 2002 and 2003): US NAVY/ASEE Summer Faculty Research Programs.
Distinguished Lukacs Professor of Statistics (Spring 2002): Bowling Green State University, Ohio.
Westhafer Award for Excellence in Research and Creativity (2000): New Mexico State University, Las Cruces.
Chair of Fuzzy Theory (1992-93): Tokyo Institute of Technology, Japan.

5. Short term visiting positions:
Visiting Researcher (summer 1979): LAAS/CNRS, Toulouse, France.
Fulbright Researcher (winter 1987): University of Palma de Mallorca, Spain.
Visiting Professor: Free University of Brussels, Belgium (summer 1991); Tokyo Institute of Technology, Japan (academic year 1992-1993, on the endowed Chair of Fuzzy Theory); LAFORIA, University of Paris VI, France (summer 1994); University of Perugia, Italy (summer 1996); The Chinese University of Hong Kong, Hong Kong (winter 1997), City University, London, UK (September 2001), Assumption University, Bangkok, Thailand (winter 2001).
Summer Faculty Research Programs ONR/ASEE (summers of 1991- 2003): Navy Research Laboratories in San Diego, California.
Sabbatical leaves: Harvard University (fall 1987); University of Southern California, Los Angeles (spring 1995), City University of London and University of Paris VI (fall 2001), Ohio State University at Bowling Green (spring 2002).

6. Professional service
* Member of:
The Institute of Mathematical Statistics (IMS).
The North American Fuzzy Information Processing Society (NAFIPS).
Chihuahuan Desert International Chapter of the American Statistical Association.
* Associate Editor or Member of Editorial Advisory Board for the following Journals:
Soft Computing (Springer-Verlag)
International Journal of Approximate Reasoning (North Holland)
International Journal of Intelligent and Fuzzy Systems (John Wiley)
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (World Scientific)
Fuzzy Sets and Systems (North Holland)
* Co-Editor-in-Chief:
The newly created Taiwan Association of Intelligent Technologies and Applied Statistics (2002) has invited me to be one of the Editors-in-Chief for its Pacific Journal of Intelligent Technologies and Applied Statistics (which will be in production in the near future).

B. RESEARCH
1. Research interests.
Applied mathematics
(i) Probability and Statistics: Foundations of random set theory and its statistical analysis of imprecise observed data such as coarse data , with applications to biostatistics.
(ii) Uncertainty Analysis in Intelligent Systems: Exploring the connections between random sets and various types of uncertainty encountered in intelligent systems for decision analysis.
My actual research interests in applied mathematics center around statistics of imprecise observations. Specifically, my research efforts consist of studying mathematical modeling of random phenomena in which measurements or observations are not precise. Examples of such situations are in spatial statistics and biostatistics (coarsed data due to data grouping, missing data, ...). The building block for statistical inference in such situations is the concept of random sets generalizing classical stochastic modeling tools such as random vectors, stochastic point processes. This concept of random sets turns out to be also useful for modeling of various types of uncertainty encountered in the study of intelligent systems in computer science and engineering, such as fuzziness and possibility measures.
(iii) Multi- criteria decision-making under risk: Providing theory and computations for real-world problems of decision-making using Choquet integrals as non-linear operaors for data fusion. The research will have as outputs decision support tools for decision-makers in a variety of problems.

2. Publications
(i) Research Books
1.Uncertainty Models for Knowledge-Based Systems (coauthored with I. R. Goodman), North Holland, 1985.
2.Conditional Inference and Logic for Intelligent Systems (coauthored with I. R. Goodman and E. A. Walker), North-Holland, 1991.
3.Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference (coauthored with M. Grabisch and E. A. Walker), Kluwer Academic Press, 1994.
4.Les Incertitudes dans les Systems Intelligents (coauthored with B. Bouchon-Meunier), Presses Universitaire de France, 1996.
5.Mathematics of Data Fusion (coauthored with I. R. Goodman and R. Mahler), Kluwer Academic Press, 1997.
6.Applications of Continuous Mathematics to Computer Science (coauthored with V. Kreinovich), Kluwer Academic Press, 1997.
(ii) Edited Books
7. Fuzzy Sets: Theory and Applications/ Selected papers by L. A. Zadeh (coeditor), J. Wiley, 1987.
8. Conditioning Logic in Expert Systems (coeditor), North-Holland, 1991.Theoretical Aspects of Fuzzy Control (coeditor), J. Wiley, 1994.
9. Random Sets: Theory and Applications (coeditor), Springer-Verlag, 1997.
10. Fuzzy Systems: Modeling and Control (coeditor), J. Wiley, 1998.
11. Fuzzy Modeling and Control/ Selected Works of M. Sugeno (coeditor), CRC Press, 1999.
12. Fundamentals of Statistics With Fuzzy Data (coauthored with Berlin Wu). Springer-Verlag, To appear 2005.
13. An Introduction to Random Sets . Chapman and Hall/CRCPress, To appear 2005.
(iii) Text Books
14. Fundamentals of Mathematical Statistics, Volume I: Probability for Statistics (coauthored with G. S. Rogers), Springer-Verlag University Text Book Series, 1989.
15. Fundamentals of Mathematical Statistics, Volume II: Statistical Inference (coauthored with G. S. Rogers), Springer-Verlag University Text Book Series, 1989.
16. A Course in Stochastic Processes: Stochastic Models and Statistical Inference (coauthored with D. Bosq), Kluwer Academic Press, 1996.
17. A First Course in Fuzzy Logic (coauthored with E. A. Walker), second Edition, Chapman and Hall/CRC, 2000.
18. Fuzzy Mathematics and Statistical Applications (coauthored with B. Wu), Wu-Nan Book Company, Taipei, 2000.
19. A First Course in Fuzzy and Neural Control (coauthored with R. Prasad, C. Walker, and E. Walker), Chapman and Hall/CRC, 2002.
20. A First Course in Probability and Statistics, Volume I : Essentials of Probability for Statistics (coauthored with T. Wang). Tsinghua University Press, To appear 2005.
21. A First Course in Probability and Statistics, Volume II : Essentials of Statistics (coauthored with T. Wang). Tsinghua University Press, To appear 2005.
(iii) Refereed Journal Papers
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). 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). 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). 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. 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. Intern. J. Approximate Reasoning, (8), 89-104.
33.Maximum entropy algorithms for uncertainty measures (1993), with Y. Maeda and H. Ichihashi. Intern. 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). 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. Intern. 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. Intern.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. Intern.J. Uncertainty, Fuzziness and Knowledge-Based Systems, 3(3), 247-339.
41.Towards theoretical foundations of soft computing applications (1995), with V. Kreinovich. Intern. J. Uncertainty, Fuzziness and Knowledge-Based Systems, 3(3), 341-373.
42.On fuzzy inference based on -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. Intern.J. of Intelligent Systems, 11(5), 295-326.
46.Fuzzy control as a universal control tool (1996), with V. Kreinovich and O. Sirisaengtaksin. 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. 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. Intern.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 harware 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. Intern.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,no1, 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 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 (1999), with V. Kreinovich. Intern. J. of Intelligent Systems, vol 14, 223-251.
63.Probability updating using second order probabilities and conditional event algebra (1999), with I. R. Goodman. Information Sciences (121), 195-347.
64.Chu spaces in uncertainty analysis (2000), with N. Nguyen. Intern. Journal of Intelligent Systems (15), 425-440.
65.Some mathematical structures for computational information (2000), Information Sciences (128), 67-89.
66.Fuzzy systems are universal approximators for a smooth function and its derivative (2000), with V. Kreinovich and Y. Yam. Intern. Journal of Intelligent Systems(15), 565-574.
67. Some practical applications of soft computing and data mining (2001), with N. Prasad, V. Kreinovich and H. Gassoumi. In Data Mining and Computational Intelligence (A. Kandel, M. Last and H. Bunke, Eds.), Physica-Verlag, 273-307.
68.Gaussian processes and martingales for fuzzy-valued random variables with continuous parameter (2001), with S. Li and Y. Ogura. Information Sciences (133), 7-21.
69.Fuzziness and Randomness (2002), with I. R. Goodman, in Statistical Modeling, Analysis and Management of Fuzzy Data (C. Bertoluzza et al. Eds.), 3-21, Physica-Verlag.
70.Probability of implication, logical version of Bayes theorem and fuzzy logic operations (2002), with M. Mukaidono and V. Kreinovich. Proceedings IEEE-FUZZ 2002, Volume 1, 530-535.
71.From computation with warranted intervals to computation with confidence intervals (2002), with V. Kreinovich et al., Proceedings NAFIPS 2002, 418-422.
72.New relations between Adams-Calabrese and product space conditional event algebras (2002), with D. Bamber and I. R. Goodman. Proceedings of the Workshop on Conditionals, Information and Inference, Hagen, Germany, 149-168.
73.Deduction from conditional knowledge (2003), with D. Bamber and I. R. Goodman. Soft Computing, Vol 8, No 4, 247-255.
74.Random sets and large deviation principle as a foundation for possibility measures (2003), with B. Bouchon-Meunier. Soft Computing, Vol 8, No 1, 61-70.
75.Which truth values in fuzzy logics are definable? (2003), with V. Kreinovich and A. Di Nola. International Journal of Intelligent Systems, Vol. 10, No. 10, 1057-1064.
76.Choquet weak convergenge of capacity functionals of random sets (2004). In Soft Methodology and Random Information Systems (Miguel Lopez-Diaz et al., Editors), Springer-Verlag , 19-31.
77.On statistical Inference with random sets (2004), with Ding Feng. In Soft Methodology and Random Information Systems (Miguel Lopez-Diaz et al., Editors), Springer-Verlag , 77-84.
78.Survey sampling revisited and coarse data analysis (2004), Thailand Statistician (4) , 1-19 .