Modelagem da dinâmica de um grupo de indivíduos HIV positivos com parâmetro Fuzzy do Tipo 2

Abstract

In this work we study the rate of return of a group of positive HIV (Human Immunodeficiency Virus) individuals, from symptomatic, if a person has opportunistic diseases, to asymptomatic, otherwise with antiretroviral treatment. We built a Fuzzy Rule-Based Systems (FRBS) for fuzzy sets of type-1 and type-2, in order to model the rate of return on positive HIV individuals of symptomatic to asymptomatic, depending on the viral load and CD4+ T lymphocyte level. The main lymphocyte attacked by the virus when it reaches the bloodstream is the CD4+ T lymphocyte. One of FRBS type-2 outputs is a real number and the other FRBS type-2 uses the Mamdani inference method and it has as output a singleton fuzzy set. From laboratory data CD4+ T lymphocyte and viral load in a group of positive HIV individuals, we obtain the values of the rates of return obtained by FRBS type-1 and the two FRBS of type-2, which are set by surfaces through the squares least method. The three surfaces are compared and we found that the two surfaces that best fit the values of the rates of return from symptomatic to asymptomatic are obtained by FRBS of type-2.