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• [P415] Interval type-2 fuzzy logic system to simulate the environment resources stochasticity inducing the population growth shape
  Author(s): Oscar Castillo, Cecilia Leal-Ramirez, Patricia Melin, Antonio Rodriguez
  
  

  Abstract
  There exists, at the moment, many ways to model population growth. We used a fuzzy cellular model to simulate the population growth affected by the environment in space and at the time. An interval type-2 fuzzy system (IT2-FS) was designed to manage the degree of impact that the environmental factors have on the population's behaviour given by the consumption of its resources. In this work, we used the interval type-2 fuzzy sets to measure the uncertainties of the stochastic environment in dynamic systems. The main goal of this work was to demonstrate how population size fluctuates around of the system carrying as consequence of insufficient space or food supply, and when the population size does not reaches the carrying capacity it fluctuates around of an equilibrium level smaller than carrying capacity. This level changes when the degree of impact that the environment factors have on the population's behaviour changes by definition within IT2-FLS. Even when the degree of impact is not changed, other conditions on fuzzy cellular model exist, which determine the shape of growth of the population and consequently their level of equilibrium. In addition, the consumption of resources by population also determines the degree of impact of the environment factors.

  
   

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