P-Fuzzy System Applied to Population Dynamics: A Case Study

The objective of this paper is to propose a Fuzzy Rule-Based Systems for elucidating the management of weed population dynamics, primarily from a theoretical standpoint. The input factor pertains to the categorization of weed populations into six discrete classes, namely: low, medium low, medium, medium high, high, very high. The resultant output corresponds to the rate of population variation, also discretized into four classes: low-negative, low-positive, medium-positive, high-positive. To regulate the weed population, we introduce a fuzzy control model, which is coupled to the partial p-fuzzy population model. The numerical results visually represent the progression of weed populations and our analysis leads us to the conclusion that the proposed p-fuzzy model demonstrates favorable results when compared to the weed dynamics model.