Methodology to determine the evolution of asymptomatic HIV population using fuzzy set theory

International Journal of Uncertainty, Fuzziness and Knowldege-Based Systems

Volumn 13, Issue 1, 2005, Pages 39-58

  Jafelice, Rosana Motta ^a   De Barros, Laécio Carvalho ^b   Bassanezi, Rodney Carlos ^b   Gomide, Fernando ^b  

^a FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Dynamic fuzzy modeling; Epidemiological modeling; Fuzzy set theory; HIV population model

Indexed keywords

DATA ACQUISITION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; POPULATION STATISTICS; PUBLIC POLICY;

ACQUIRED IMMUNODEFICIENCY SYNDROME (AIDS); DYNAMIC FUZZY MODELING; EPIDEMIOLOGICAL MODELING; HIV POPULATION MODEL;

FUZZY SETS;

EID: 17444384917     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488505003308     Document Type: Article

References (24)

1. L. Zadeh, "Fuzzy sets", Information and Control 8 (1965) 338-353.
2. H. T. Nguyen and E. A. Walker, A First Course in Fuzzy Logic (CRC Press, New York, 2000).
3. D. Dubois and H. Prade, Fuzzy sets and systems - Theory and applications (Academic press, New York, 1980).
4. W. Pedrycz and F. Gomide, An Introduction to Fuzzy Sets: Analysis and Design (Massachusetts Institute of Technology, Cambridge, 1998).
5. E. Sanchez, "Solutions in composite fuzzy relation equations: application to medical diagnosis in brouwerian logic", in Fuzzy Automata and Decision Processes, eds. M. M. Gupta, (North-Holland, Amsterdam, 1977) pp. 221-234.
6. E. Sanchez and R. Bartolin, "Fuzzy inference and medical diagnosis, a case study", Int. J. Biom. Fuzzy Systems Ass. 1 (1990) 4-21.
7. L. Barros, M. B. Leite and R. C. Bassanezi, "The SI epidemiological models with a fuzzy transmission parameter", Int. J. Computers and Mathematics with Applications 45 (2003) 1619-1628.
8. R. M. Jafelice, L. C. Barros, R. C. Bassanezi and F. Gomide, "Fuzzy rules in asymptomatic HIV virus infected individuals model", in Frontiers in Artificial Intelligence and Applications 85 (IOS Press Ohmsha, 2002) pp. 208-215.
9. R. M. Jafelice, L. C. Barros, R. C. Bassanezi and F. Gomide, "Fuzzy modeling in asymptomatic HIV virus infected population", Bulletin of Mathematical Biology 66 (2004) 1463-1942.
10. E. Massad, M. Burattini and N. Ortega, "Fuzzy logic and measles vacination: Designing a control strategy", International Journal of Epidemiology 28 (1999) 550-557.
11. E. Massad, N. Ortega, C. Struchiner and M. Burattini, "Fuzzy epidemiology", Artificial Intelligence in Medicine 29 (2003) 241-259.
12. K. Sadegh-Zadeh, "The fuzzy revolution: Goodbye to the Aristotelian Weltanshauung", Artificial Intelligence in Medicine 21 (1-3) (2001) 1-25.
13. J. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1990).
14. J. Murray, Mathematical Biology I: An Introduction (Springer-Verlag, Berlin, 2002).
15. J. Murray, Mathematical Biology II: Spatial Models and Biomedical Applicatons (Springer-Verlag, Berlin, 2003).
16. M. Novak and C. R. M. Bangham, "Population dynamics of immune responses to persistene viruses", Science 272 (1996) 74-79.
17. T. Peterman, D. P. Drotman and J. W. Curran, "Epidemiology of the acquired immunodeficiency syndrome AIDS", Epidemiology Reviews 7 (1985) 7-21.
18. M. Caetano and T. Yoneyama, "A comparative evaluation of open loop and closed loop drug administration strategies in the treatment of AIDS", Academia Brasileira de Ciências 71 (1999) 589-597.
19. F. Coutinho, L. F. Lopez, M. N. Burattini and E. Massad, "Modelling the natural history of HIV infection in individuals and its epidemiological implications", Bulletin of Mathematical Biology 63 (2001) 1041-1062.
20. A. Perelson and P. W. Nelson, "Mathematical analysis of HIV-1 dynamics in vivo", SIAM Review 41 (1999) 3-44.
21. M. Saag, "Diagnóstico laboratorial da AIDS presente e futuro", in Tratamento Clínico da AIDS (in Portuguese), eds. M. Sande and P. A. Volberding, (3rd Edition, Revinter, 1995) pp. 27-43.
22. E. Hüllermeier, "An approach to modelling and simulation of uncertain dynamical systems", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 5 (2) (1997) 117-137.
23. M. Oberguggenberger and S. Pittschmann, "Differential equations with fuzzy parameters", Math. and Computer Modelling of Dynamical Systems 5 (1999) 181-202.
24. M. T. Mizukoshi, Y. Chaco-Cano, L. Barros and R. Bassanezi, "Differential equation: fuzzy parameter", 58° Seminário Brasileiro de Análise (2003) 348-355.