Professor
Renkuan Guo Ph.D. in Statistics
Call for
Papers for the
Special Issue of the Journal of Uncertain Systems
|
CONTACT
INFORMATION |
 |
|
|
|
|
 |
Uncertainty modeling in quality
and reliability, particularly, repairable systems. |
 |
Unified Fuzzy spatial models and
GIS applications. |
 |
Grey Differential Geometry
Modeling. |
 |
Stochastic process modeling,
particularly, financial markets. |
 |
Mathematical Foundation of
uncertainty theory, including random, fuzzy, rough and grey. | |
|
|
|
 |
1964-1970
Tsinghua University
Beijing, China
B.Sc. in Mathematical Mechanical
Engineering
Majored in Heat Physics | |
|
 |
1985-1986
Iowa State University
Ames, Iowa, U.S.A.
M.Sc. in Statistics
Statistical Quality Control | |
|
 |
1986-1989
Iowa State University
Ames, Iowa, U.S.A.
Ph.D. in Statistics
Bayesian Reliability Modeling | |
|
|
|
 |
1978-1983: Teaching at Dalian University of Technology. |
 |
1985-1988: Teaching and research assistant at Iowa State
University. |
 |
1989-1998: Teaching at University of Cape Town involving
courses Stochastic processes, Derivative trading, Decision Theory
for third year students. Teaching
Quality control, Dynamic Programming at Honours level. |
 |
1998-2004: Teaching at the University of Cape Town
involving courses in Stochastic
Processes to Taught Master
program in Mathematical Finance. Teaching Stochastic Analysis (Calculus) with Financial
Applications to the third year
and fourth year students (majoring in Actuarial Science and
Finance). Teaching Financial
Market Non-linear Modelling at
MSc level and Dynamic Programming
for Honors. |
 |
2005-present: Teaching Markov
Processes Theory for Actuarial
Science third year students (STA 345F and Bus 318F). Teaching
Stochastic Calculus
in Financial Economics (Bus 428F) for the Actuarial Science
fourth year students. Teaching Honors
Dynamic Programming (in
Operations Research course). Teaching two MSc level courses:
Probability theory
and Stochastic Optimal Control courses for STAT Taught MSc program (STA 503W),
and Financial Mathematics for MSc programme. | |
|
|
|
 |
Serving in the Editorial Board of
Economic Quality Control as an associate editor. |
 |
Serving in the Editorial Board of
the International Journal of Industrial Engineering – Theory,
Applications and Practice. | |
|
|
|
 |
Love, C.E. and Guo, R. (1991).
Using Proportional Hazard
Modelling in Plant Maintenance.
Quality and Reliability Engineering International, 7: 7-17. |
 |
Love, C.E. and Guo, R. (1991).
Application of Weibull
Proportional Hazards Modelling to Bad-As-Old Failure Data.
Quality and Reliability Engineering International, 7: 149-157. |
 |
Guo, R. and Love, C.E. (1992).
Statistical Analysis of An Age
Model for Imperfectly Repaired System. Quality and Reliability Engineering
International, 8: 133-146. |
 |
Love, C.E. and Guo, R. (1993).
An Application of A Bathtub
Failure Model to Imperfectly Repaired Systems Data.
Quality and Reliability Engineering International, 9: 127-135. |
 |
Love, C.E. and Guo, R. (1994).
Simulation Strategies to
Identify the Failure Parameters under the Influence of General
Repair. Quality and Reliability
Engineering International, 10: 34-37. |
 |
Guo, R. and Love, C.E. (1994).
Simulating Nonhomogeneous
Poisson Processes with Proportional Intensities.
Naval Research Logistics, 41: 507-522. |
 |
Love, C.E., Guo, R., and Irwin,
K.H. (1995). Acceptable Quality
Level vs. Zero Defects: Some Empirical Evidence.
Journal of Computers and Operational Research: Special Edition
on Quality and Reliability. |
 |
Love, C.E., Guo, R., and Irwin,
K.H. (1995). Utilizing Weibull
Failure Rates in Repair Limit Analysis for Vehicle Replacement.
Journal of Operational Research Society. |
 |
Guo, R. and Love, C.E. (1996).
A Linear Spline Approximation
for Semi-Parametric Intensities. IEEE Transactions on Reliability, 45(2):
261-266. |
 |
Love, C.E., Zhang, Z.G., Zitron,
M.A., and Guo, R. (2000). A
Discrete Semi-Markov Decision Model to Determine the Optimal
Repair/Replacement Policy under General Repairs.
European Journal of Operational Research, 125: 398-409.  |
 |
Guo, R., Ascher, H., and Love,
C.E. (2000). Generalised Models of
Repairable Systems-A survey via stochastic processes formalism.
ORION, 16(2): 87-128. |
 |
Guo, R., Ascher, H., and Love,
C.E. (2001). Towards Practical and
Synthetic Modelling of Repairable Systems. Economic Quality Control, 16(2): 147-182. |
 |
Guo, R. and Love, C.E. (2003).
Reliability Modelling with Fuzzy
Covariates. International Journal
of Reliability, Quality and Safety Engineering, 10(2): 131-157. |
 |
Guo, R. and Love, C.E. (2003).
Reliability Modelling with Fuzzy
Covariates. International Journal
of Industrial Engineering – Theory, Applications, and Practice,
10(4): 511-518. |
 |
Guo, R. and Love, C.E. (2004).
Fuzzy Covariate Modelling an
Imperfectly Repaired System.
Quality Assurance, 10(37): 7-15. |
 |
Guo, R. and Love, C.E. (2004).
Repairable System Modelling with
Fuzzy Covartates. Progresses in
Quality and Dependability. Bacivarov, I. (Editor). |
 |
Guo, R. (2005). Repairable System Modelling Via Grey
Differential Equations. Journal
of Grey System, 8(1): 69-91. |
 |
Guo, R. (2005). A Repairable System Modelling by Combining Grey
System Theory with Interval-Valued Fuzzy Set Theory.
International Journal of Reliability, Quality and Safety
Engineering, 12(3): 241-266. Kimura, M., Dohi, T., and Yun, W.Y.
(Guest Editors). |
 |
Guo, R. and Love, C.E. (2005).
Fuzzy Set-Valued and Grey
Filtering Statistical Inferences on a System Operation Data.
International Journal of Quality in Maintenance Engineering –
Advanced reliability modelling, 11(3): 267-278. Dohi, T., Kaio,
N., and Yun, W.Y. (Guest Editors).  | |
|
|
|
 |
Cressie, N.A.C. and Guo, R.
(1987). Mapping Variables.
Proceedings of the National Computer Graphic Association
Conference, Computer Graphic III, pp. 521-530. |
 |
Labuschagne, B.C.J., Wheelock,
T.D., Guo, R.K., and Markuszewski, R. (1988). Prediction of Coal Hydrophobicity.
Proceedings of the 5th Annual International Pittsburgh Coal
Conference, Pittsburgh, Pennsylvania, pp. 417-429. |
 |
Labuschagne, B.C.J., Wheelock,
T.D., Guo, R.K., and Markuszewski, R. (1988). Moisture Content As a Predictor of Coal
Hydrophobicity. Proceedings of
the 13th International Conference on Coal & Supply Technology,
Denver, Colorado, pp. 415-425. |
 |
Labuschagne, B.C.J. and Guo, R.K.
(1990). Variation Analysis of Coal
Hydrophobicity. Proceedings of
the 7th Annual International Pittsburgh Coal Conference,
Pittsburgh, Pennsylvania, pp. 999-1011. |
 |
Love, C.E. and Guo, R. (1991).
Modelling with Proportional
Hazard Structures: Some Goodness of Fit Test. Proceedings of the ASAC, Niagara Falls. |
 |
Guo, R. and Bradley, E. (1993).
Statistical Analysis of
Repairable Systems with General Repair. Proceedings of the 2nd Asian Congress on
Quality and Reliability, Beijing, China. |
 |
Guo, R., Love, C.E., and Bradley,
E. (1995). Bad-AS-Old Modelling of
Complex Systems with Imperfectly Repaired Subsystems.
Proceedings of the International Conference on Statistical
Methods and Statistical Computing for Quality Productivity
Improvement, Seoul, Korea. |
 |
Love, C.E. and Guo, R. (1995).
Statistical Analysis of a
General Covariate Structure in Good-As-New Cases.
Proceedings of the International Conference on Statistical
Methods and Statistical Computing for Quality Productivity
Improvement, Seoul, Korea. |
 |
Guo, R. and Labuschagne, B.C.J.
(1998). Basic elements of Chinese
Feng Shui and the Quality of Human Life.
Proceedings of the Ergonomics Conference: Global Ergonomics,
Cape Town, South Africa, pp. 645-650. |
 |
Labuschagne, B.C.J., Geldenhuys,
K.M., and Guo, R. (2000). Oral
versus written evaluations for the second year medical students
in anatomy. Proceedings of the
9th International Ottawa Conference on Medical Education, Cape
Town, South Africa. |
 |
Guo, R. and Love, C.E. (2002).
Reliability Modelling with Fuzzy
Covariates. Proceedings of the
7th Annual International Conference on Industrial Engineering –
Theory, Applications and Practice, Busan, Korea, pp. 5-8.  |
 |
Guo, R. and Love, C.E. (2003).
Statistical Modelling of System
Ages. Proceedings of the 8th
International Conference on Industrial Engineering – Theory,
Applications and Practice, Las Vegas, Nevada, U.S.A., pp.
380-385.  |
 |
Guo, R. and Dunne, T. (2003).
Philosophical and Statistical
Foundation of Time and System Age Modelling. Proceedings of the 8th International
Conference on Industrial Engineering – Theory, Applications and
Practice, Las Vegas, Nevada, U.S.A., pp. 986-991.  |
 |
Guo, D., Guo, R., and Thiart, C.
(2004). Integrating GIS with Fuzzy
Logic and Geostatistics: Predicting Air Pollutant PM10 for
California, Using Fuzzy Kriging. Proceedings of the Geographical Information
Systems Research UK (GISRUK 2004), University of East Anglia,
Norwich, U.K., pp. 375-380.  |
 |
Guo, R. and Dunne, T. (2004).
Developing Diligence in Today’s
Education – Some Thoughts on Teaching in the IT Age.
Proceedings of International Conference on Education and
Information Systems, Technologies and Applications and the
International Conference on Cybermetics and Technologies and
Applications, Orlando, Florida, U.S.A., pp. 254-259.  |
 |
Guo, R. (2004). Interval-Valued Fuzzy Set Modelling of System
Reliability. Proceedings of the
2004 Asian International Workshop on Advanced Reliability
Modelling, Hiroshima City, Japan, pp. 157-164.  |
 |
Guo, R. and Love, C.E. (2004).
Fuzzy Set-Valued Statistical
Inferences on a System Operating Data. Proceedings of the 2004 Asian International
Workshop on Advanced Reliability Modelling, Hiroshima City,
Japan, pp. 165-172.  |
 |
Guo, R. and Love, C.E. (2004).
A Fuzzy Semi-Statistical Model
for Repairable System.
Proceedings of the 9th International Conference on Quality and
Dependability (CCF’2004). |
 |
Guo, R. and Love, C.E. (2004).
A Virtual State Analysis of
Repairable System via Fuzzy Logical Functions. Proceedings of the 9th International
Conference on Industrial Engineering – Theory, Applications and
Practice, Auckland, New Zealand, pp. 140-145.  |
 |
Guo, R. (2004). A Fuzzy System Age Analysis of Repairable System
via Interval-Valued Fuzzy Sets Approach. Proceedings of 9th International Conference on
Industrial Engineering – Theory, Applications and Practice,
Auckland, New Zealand, pp. 146-151.  |
 |
Guo, D., Guo, R., and Thiart, C.
(2005). Grey GIS. Proceedings of the Geographical Information
Systems Research UK (GISRUK 2005), Glasgow, Scotland, pp.
379-387.  |
 |
Wabiri, N., Guo, R., and Thiart,
C. (2005). Interval-Spatial
Methods. Proceedings of the
Geographical Information Systems Research UK (GISRUK 2005),
Glasgow, Scotland, pp. 121-129. |
 |
Guo, R. and Dunne, T. (2005).
Stochastic Age Processes.
Proceedings of the European Safety and Reliability Conference
(ESREL 2005): Advances in Safety and Reliability, Tri City
(Gdynia-Sopot-Gdansk), Poland, Vol. 1, pp. 745-752.  |
 |
Guo, R. and Love, C.E. (2005).
Grey Repairable System Analysis.
Plenary Lecture. Proceedings of the European Safety and
Reliability Conference (ESREL 2005): Advances in Safety and
Reliability, Tri City (Gdynia-Sopot-Gdansk), Poland, Vol. 1.
pp753-766.  |
 |
Guo, R. and Dunne, T. (2005).
Grey Predictive Process Control
Charts. Proceedings of the 4th
International Conference on Quality and Reliability (ICQR 2005),
Beijing, China, pp. 55-62.  |
 |
Guo, R. (2005). A Grey Semi-Statistical Fuzzy Modeling of an
Imperfectly Repaired System.
Proceedings of the 4th International Conference on Quality and
Reliability (ICQR 2005), Beijing, China, pp. 391-399.  |
 |
Guo, R. (2005). Fuzzy Stochastic Age processes. Proceedings of the 4th International
Conference on Quality and Reliability (ICQR 2005), Beijing,
China, pp. 471-476.  |
 |
Guo, R. (2005). A Grey Modeling of Covariate Information in
Repairable System. Proceedings of
the 4th International Conference on Quality and Reliability
(ICQR 2005), Beijing, China, pp. 667-674.  |
 |
Guo, D., Guo, R., and Thiart, C.
(2005). Grey Spatial Prediction of
Fuzzy Air Quality Index.
Proceedings of the 4th International Conference on Quality and
Reliability (ICQR 2005), Beijing, China, pp. 71-78. |
 |
Guo, D., Guo, R., and Thiart, C.
(2005). A New Very Small-Sample
Based Non-Linear Statistical Estimation Method. Proceedings of the International Workshop on
Recent Advances Stochastic Operations Research, Canmore,
Alberta, Canada, pp. 50-57. |
 |
Hossain, N., Troskie, C., and Guo,
R. (2005). GARCH(1,1) Volatility
Modeling in Modern Portfolio Optimization. Proceedings of the International Workshop on
Recent Advances Stochastic Operations Research, Canmore,
Alberta, Canada, pp. 80-87. |
 |
Wabiri, N., Guo, R., and Thiart,
C. (2005). Interval-Kriging under
Generalized Metric. Proceedings
of the International Workshop on Recent Advances Stochastic
Operations Research, Canmore, Alberta, Canada, pp. 290-297. |
 |
Kao, T. and Guo, R. (2005).
Empirical Evidences of
Non-equilibrium in Johannesburg Stock Exchange System.
Proceedings of the Second Brazilian Conference on Statistical
Modeling in Insurance and Finance, Institute of Maths and Stats,
University of Sao Paulo, Sao Paulo, Brazil, pp. 132-137. |
 |
Guo, R. and Guo, D. (2005).
Grey Reliability Analysis of
Complex System. Proceedings of
the 10th International Conference on Industrial Engineering –
Theory, Applications and Practice, Clearwater, Florida, U.S.A.,
pp. 432-437.  |
 |
R. Guo, T. Dunne and Y. H. Cui.
(2005). The Investigation on the
Rationale of GM(1,1) Model.
Proceedings of the 10th International Conference on Industrial
Engineering – Theory, Applications and Practice, Clearwater,
Florida, U.S.A., pp. 438-443.  |
 |
Guo, D., Guo, R., Thiart, C., and
Cui, Y.H. (2005). Optimal Data
Transformations in Grey Analysis. Proceedings of the 10th International
Conference on Industrial Engineering – Theory, Applications and
Practice, Clearwater, Florida, U.S.A., pp. 426-431.  |
 |
Wabiri, N., Guo, R., and Thiart,
C. (2005). Spatial Interval Kernel
Regression. Proceedings of the
10th International Conference on Industrial Engineering –
Theory, Applications and Practice, Clearwater, Florida, U.S.A.,
pp. 406-411.  |
 |
Hossain, N., Troskie, C., and Guo,
R. (2005). Comparisons of the Ex
Post Efficient Portfolios under Garch(1,1) Modeling and Garch
Model Extensions. Proceedings of
the 10th International Conference on Industrial Engineering –
Theory, Applications and Practice, Clearwater, Florida, U.S.A.,
pp. 419-425.  |
 |
Hossain, N., Troskie, C., and Guo,
R. (2005). Comparisons of the Ex
Post Efficient Portfolios Generated from Sharpe and
Troskie-Hossain Index Models.
Proceedings of the 10th International Conference on Industrial
Engineering – Theory, Applications and Practice, Clearwater,
Florida, U.S.A., pp. 412-418.  | |
|
|
|
 |
Guo, R. and Love, C.E. (2006).
Grey Repairable System Analysis.
International Journal of Automation and Computing (IJAC).
(Accepted). |
 |
Guo, D., Guo, R., and Thiart, C.
Predicting Air Pollution Using
Fuzzy Membership Grade Kriging.
Computers, Environment and Urban Systems, Special Editions.
(Accepted). |
 |
Guo, R. Modeling Imperfectly Repaired System Data Via
Grey Differential Equations with Unequal-Gapped Times.
International Journal of Reliability, Quality and Safety
Engineering. (Accepted and under reversion). |
 |
Guo, R. Grey Predictive Control Charts. Communications in Statistics – Simulation and
Computation. (Under review). |
 |
Wabiri, N., Guo, R., and Thiart,
C. Nonparametric Estimation of
Belief-Plausibility Interval Probability. International Journal of Approximate
Reasoning, Special Issue on Random Sets and Imprecise
Probabilities. (To be submitted). |
 |
Guo, R. Mathematical Foundation of Grey Theory.
Journal of Grey System. (To be submitted). | |
|
|
|
 |
Guo, R. (2006). Credibility Theory Based Fuzzy Quality Control.
Proceedings of the 3rd IEEE International Conference on
Management of Innovation and Technology (ICMIT 2006), Singapore. |
 |
Guo, R. (2006). Grey Differential Equation Models in Quality
Control. Proceedings of the 3rd
IEEE International Conference on Management of Innovation and
Technology (ICMIT 2006), Singapore. |
 |
Guo, R. (2006). Axiomatic Foundation Based Fuzzy Reliability
Analysis. Proceedings of the
Asian International Workshop on Advanced Reliability Modeling
(AIWARM 2006), Busan, Korea. |
 |
Guo, R. (2006). Credibility Theory Based Fuzzy Repairable System
Modeling. Proceedings of the
Asian International Workshop on Advanced Reliability Modeling
(AIWARM 2006), Busan, Korea. |
 |
Guo, R. (2006). Credibility Measure Based Grey Modeling of
Repairable System. Proceedings of
the Asian International Workshop on Advanced Reliability
Modeling (AIWARM 2006), Busan, Korea. |
 |
Guo, R. (2006). Foundation of Grey Inference with Application to
Repairable System Modeling.
Proceedings of the Asian International Workshop on Advanced
Reliability Modeling (AIWARM 2006), Busan, Korea. |
 |
Guo, R. (2006). Rough Sets Based Fuzzy Reliability Modeling.
Proceedings of the Asian International Workshop on Advanced
Reliability Modeling (AIWARM 2006), Busan, Korea. |
 |
Guo, R., Love, C.E., and Li, X.
(2006). Maximum Likelihood
Estimation on System Age Processes. Proceedings of the European Safety and
Reliability Conference (ESREL 2006), Estoril, Portugal. |
 |
Guo, R. (2006). The Unified Fuzzy Theory with Applications in
Reliability Modeling. Proceedings
of the European Safety and Reliability Conference (ESREL 2006),
Estoril, Portugal. |
 |
Guo, R. and Li, X. (2006).
Hidden Markov Modeling of
Repairable System. Proceedings of
the European Safety and Reliability Conference (ESREL 2006),
Estoril, Portugal. |
 |
Guo, R., Dunne, T., and Li, X.
(2006). Copula-based Point
Processes in Repairable System Modeling. Proceedings of the European Safety and
Reliability Conference (ESREL 2006), Estoril, Portugal. |
 |
Guo, R. (2006). CVAR in Safety and Reliability Optimizations.
Proceedings of the European Safety and Reliability Conference
(ESREL 2006), Estoril, Portugal. |
 |
Guo, D., Guo, R., and Thiart, C.
(2006). Credibility Measure Based
Fuzzy Kriging. Proceedings of the
Geographical Information Systems Research UK (GISRUK 2006),
University of Nottingham, U.K. (To be submitted). |
 |
Guo, D., Guo, R., and Thiart, C.
(2006). Grey Spatial Prediction
with Moving Frame. Proceedings of
the Geographical Information Systems Research UK (GISRUK 2006),
University of Nottingham, U.K. (To be submitted). |
 |
Wabiri, N., Guo, R., and Thiart,
C. (2006). Belief-Plausibility
functions based Interval Probability Kriging. Proceedings of the Geographical Information
Systems Research UK (GISRUK 2006), University of Nottingham,
U.K. (To be submitted). |
 |
Hossain, N., Troskie, C., and Guo,
R. (2006). Troskie-Hossain-Guo
Index Models in Portfolio Optimization. Proceedings of the Stochastic Modeling
Symposium, Canadian Institute of Actuaries, Toronto, Ontario,
Canada. |
 |
Hossain, N., Troskie, C., and Guo,
R. (2006). Principle Component
Models in Portfolio Optimization. Proceedings of the Stochastic Modeling
Symposium, Canadian Institute of Actuaries, Toronto, Ontario,
Canada. |
 |
Guo, R., Guo, D., and Thiart, C.
(2006). Grey Differential Geometry
Model in Spatial Prediction. Proceedings of the 4th International
Conference on Geographic Information Science (GIScience 2006),
Münster, Germany. (To be submitted). |
 |
Guo, R., Guo, D., and Thiart, C.
(2006). A Rough Sets Based Fuzzy
Spatial Modeling. Proceedings of
the 4th International Conference on Geographic Information
Science (GIScience 2006), Münster, Germany. (To be submitted). |
 |
Wabiri, N., Guo, R., and Thiart,
C. (2006). A Rough Sets Based
Belief-Plausibility Function Interval Probability Kriging.
Proceedings of the 4th International Conference on Geographic
Information Science (GIScience 2006), Münster, Germany. (To be
submitted). | |
|
|
|
 |
Guo, R. Markov Processes for Actuarial Sciences.
Lecture Notes for undergraduate students. |
 |
Guo, R. Stochastic Calculus for Financial Economics.
Lecture Notes for senior undergraduate students. |
 |
Guo, R. Stochastic Optimal Control. Lecture Notes for MSc program. |
 |
Guo, R. Probability Theory. Lecture Notes for MSc program. | |
|
|
|
 |
Guo, R. Grey Differential Equation GM(1,1) Model in
Reliability Engineering. A
chapter in the book “Computational Intelligence in Reliability
Engineering”. Levitin, G. (Editor). Springer. (Accepted and
under revision). | |
|
|
|
 |
Guo, R. Unified Fuzzy Theory with Applications on
Quality and Reliability. Since
Zahed invented Fuzzy sets concept, hundreds of papers dealing
with its theoretical foundation and applications were published.
However, a major problem in fuzzy mathematical theory left there
undressed: self-duality, which exists in probability theory and
critical for a solid mathematical foundation and practical
applications. B. Liu (2004) proposed a set of axioms and
credibility measure and thus laid fuzzy theory on axiomatic
foundation. This book will review the recent unified fuzzy
theoretical developments and explore the applications to quality
control and reliability field. Book will have four chapters:
Chapter one, Axiomatic Foundation for Unified Fuzzy Theory,
Chapter two Principles of Fuzzy Quality Control Modelling,
Chapter Three, Principle of Fuzzy Reliability Modelling, Chapter
Four, Applications and Case Studies, Chapter Five, Fuzzy
Stochastic processes Theory in Reliability Engineering. |
 |
Guo, R. Grey Theory – Mathematical Foundation,
Differential Equation Models and Applications. Since Professor Deng Julong proposed Grey
System Theory in 1992, hundreds of successful applications in
various fields were reported, particularly grey relation
analysis and grey differential equation models. However, Grey
Theory was largely placed on philosophical foundations and thus
affected its acceptability to scientific and business
communities. In this book, we proposed a two-layer axiomatic
mathematical foundation based on the incidence calculus,
interval analysis, evidence theory, rough sets theory. Then the
grey differential equation theory is established on the new
axiomatic foundation and its applications are further explored. |
 |
Guo, R. and Guo, D.
Grey Differential Geometry –
Foundation and Applications. The
significance of the establishing the mathematical foundation for
grey differential geometry is that differential geometry will be
one of the focus in modern mathematics in the 21th century and
at the same time combining grey data analysis with the
theoretical developments in differential geometry will allow to
enjoy the mathematical theory powerful applications in physics,
chemistry, biology, social science, economics, political science
computer science and statistical sciences. Definitely, there is
a critical barrier to combine grey analysis and differential
geometric theories since intrinsic nature of grey analysis is
using the derivative concept in one variable and ordinary
differential equations but differential geometric theory engages
the usage of partial derivatives and partial differential
equations. This book is planning to merge the two fields
together to treat sparse data and the various applications. |
 |
Guo, R. and Freriches, L.
The Philosophical Foundation of
Traditional Chinese Medical Sciences. This drafted book examines the underlying
mechanism of human health based on the whole philosophical
foundation. The book challenge certain inefficient and incapable
aspects of modern medical sciences, food and drug industries,
which cause the deterioration of the quality of human life in
general. |
 |
Guo, R. The Mathematical Foundation of Traditional
Chinese Medical Sciences.
Traditional Chinese Medicine is largely treated as being
empirical and even superstitious in modern society. However,
Western medical society does gradually accept some of the
traditional Chinese medical treatments, for example,
acupuncture, and but intends to “modernize” them under Western
medical sciences. This book challenges such fruitless intention
and intends to establish a mathematical foundation based on
ancient Chinese ancient philosophy and modern approximate
reasoning theory. | |
Copyright
©2006 Danni Guo
|