TABLE 1
Definition of the triangular membership functions of fuzzy sets Low (L), Medium (M) and High (H) for the input variables Irrigation and Salinity.
TABLE 2
Definition of the percentiles delimiters with of the triangular membership functions of fuzzy sets Low 1 (L1), Low 2 (L2), Low 3 (L3), Medium 1 (M1), Medium 2 (M2), Medium 3 (M3), High 1 (H1), High 2 (H2) and High 3 (H3) for the output variables.
TABLE 3
Combinations of input variables Irrigation and Salinity with the points of degree pertinence 1 associated with the fuzzy sets Low (L), Medium (M) and High (H) for the development of the fuzzy rules base.
TABLE 4
Intervals of points with greater pertinence degree associated with the fuzzy sets Low 1 (L1), Low 2 (L2), Low 3 (L3), Medium 1 (M1), Medium 2 (M2), Medium 3 (M3), High 1 (H1), High 2 (H2) and High 3 (H3) for the output variables.
TABLE 5
Generalization of the intervals of points with greater pertinence degree associated with the fuzzy sets O1, O2, O3, O4, O5, O6, O7, O8 and O9, representing respectively the fuzzy sets Low 1, Low 2, Low 3, Medium 1, Medium 2, Medium 3, High 1, High 2 and High 3 for the output variables.
TABLE 6
Percentiles P(12.5%.i), i=0,1,..8, of the output variables plant height (PH, cm), stem diameter (SD, cm), leaf area (LA, cm2), green biomass (GB, g), dry biomass (DB, g), fruit number (FN, units), average fruit weight (AFW, g) and percentage of disabled fruits (PDF, %).
TABLE 7
Intervals of points with greater pertinence degree associated with the fuzzy sets Low 1 (L1), Low 2 (L2), Low 3 (L3), Medium 1 (M1), Medium 2 (M2), Medium 3 (M3), High 1 (H1), High 2 (H2) and High 3 (H3) of the output variables plant height (PH), stem diameter (SD), leaf area (LA), green biomass (GB), dry biomass (DB), fruit number (FN), average fruit weight (AFW) and percentage of disabled fruits (PDF).
TABLE 8
Fuzzy rules relating all combinations between the fuzzy sets Low (L), Medium (M) and High (H) of input variables Irrigation and Salinity, and the fuzzy sets Low 1 (L1), Low 2 (L2), Low 3 (L3), Medium 1 (M1), Medium 2 (M2), Medium 3 (M3), High 1 (H1), High 2 (H2) and High 3 (H3) of output variables plant height (PH), stem diameter (SD), leaf area (LA), green biomass (GB), dry biomass (DB), fruit number (FN), average fruit weight (AFW) and percentage of disabled fruits (PDF).
TABLE 9
Fuzzy rules relating all combinations between the fuzzy sets Low (L), Medium (M) and High (H) of input variables Irrigation and Salinity, and the fuzzy sets the fuzzy sets O1, O2, O3, O4, O5, O6, O7, O8 and O9, representing respectively the fuzzy sets Low 1 (L1), Low 2 (L2), Low 3 (L3), Medium 1 (M1), Medium 2 (M2), Medium 3 (M3), High 1 (H1), High 2 (H2) and High 3 (H3) for the output variables plant height (PH), stem diameter (SD), leaf area (LA), green biomass (GB), dry biomass (DB), fruit number (FN), average fruit weight (AFW) and percentage of disabled fruits (PDF).
TABLE 10
Procedure performed to the elaboration the fuzzy rules for some combinations of the input fuzzy sets Low Irrigation and Low, Medium and High Salinity of plant height output variable.