The Modeling by Fuzzy Least Squares Regression Approach Relationships between Copper Values in the Soil, Vegetables, Fruits and Human Tissue

Abstract

Objective: The aim of this study is to determine whether the potential toxic copper element values measured in soils (X1), vegetables (X2) and waters (X3) have an effect on the copper elements in the stomach and intestinal tissue (Yi) (ppm) of individuals in an area of approximately 2400 km2 covering the east of Erciyes strato volcano. Methods: We applied Diamond’s fuzzy least squares (FLS) method, which assumes that the deviation between the observed and the predicted values is due to the fuzziness of the coefficients. We calculated many uncertainties and errors during the calculation of the estimator of each coefficient of the model based on the minimum blur criteria. Results: The turbidity level of the model, which was created with an approach of h = 0.5 tolerance level, was calculated as Z(x) = 74104. Goodness of fit test criteria of fuzzy model were calculated with the mean squared error (Mean Squared Error, MSE = 47), the square root of the mean squared error (Root Mean Squared Error, RMSE = 22) and the coefficient of determination (R2 = 0.02). Conclusion: As a result of the calculations, statistically, rTissue-Soil = 0.5, rTissue-Vegetable = 0.3, rTissue-Vater = 0.1 levels were determined between the potential toxic copper elements in the soil, vegetables and water and the potential toxic copper element value in the stomach and intestinal tissue. Applications to determine whether there is a relationship between potential toxic copper elements related to the study area and potential toxic copper element value in stomach and intestinal tissue are discussed for the first time in this study.