Fuzzy Set Theory Applied to a Spatial Analysis Problem Concerning the Demographic Balance Data in the Municipalities of Cilento and Vallo di Diano National Park

We present a new approach based on fuzzy transforms and fuzzy relations for analyzing and forecasting problems in spatial analysis. Our method allows to predict the spatial distribution of assigned parameters of the problem under exam. Here, we test our method by exploring the demographical balance data measured every month in the period 01/01/2003–31/10/2014 in the municipalities of “Cilento and Vallo di Diano” National Park located in the district of Salerno (Italy). We use this method for predicting the value of the parameters “birthrate” and “deathrate” in November 2014. We apply this process in all the municipalities in the area of study; moreover, we present a fuzzification process for establishing the thematic map of the errors calculated between the real data and the predicted data. The thematic maps are constructed in a GIS environment.