f-correlated fuzzy numbers applied to HIV model with protease inhibitor therapy

• Autores: V M Cabral, R A C Prata, L C Barros
• Localización: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology, ISSN-e 1134-5632, Vol. 22, Nº. 1, 2015, págs. 46-51
• Idioma: inglés
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• Resumen

  • This paper presents the concept of $f$-correlated fuzzy numbers, which generalizes the concept of completely correlated numbers fuzzy, whose correlation is established from a straight line. In our case, the formulation is made with the aid of an injective monotone function. We include the case in which the correlation function is hyperbolic and get to addition and multiplication operations between correlated hyperbolic fuzzy numbers. Some properties of correlated fuzzy numbers are presented. Finally, we study a model with delay for the evolution of HIV in which the delay and the mortality rate of the virus, due to the action of the drug, are hyperbolically correlated parameters.