Interval type-2 fuzzy logic system to simulate the environment resources stochasticity inducing the population growth shape

An interval type-2 fuzzy logic system (IT2-FLS) is designed to evaluate the parameters of a population growth model based on the environment resources stochasticity, in time and space. Interval type-2 fuzzy sets are used to measure the uncertainties of the environment resources. The main goal of this work is to demonstrate how the IT2-FLS integrated into a population growth model can make a suitable evaluation of the parameters required to make that the population size reach a stable equilibrium level on which it fluctuates into a time interval and after that, population size goes down as consequence of insufficient resources. The simulation results are compared against the results of others mathematical models made through the years in Ecology to study the population dynamics.