Rule 1: Rule 4: Rule 7: If is If is If is x A1 x A2 x A3 AND is AND is AND is y B1 y B1 y B1 Then is Then is Then is z C1 z C2 z C4 Rule 2: Rule 5: Rule 8: If is If is If is x A1 x A2 x A3 AND is AND is AND is y B2 y B2 y B2 Then is Then is Then is z C2 z C2 z C2 Rule 3: Rule 6: Rule 9: If is If is If is x A1 x A2 x A3 AND is AND is AND is y B3 y B3 y B3 Then is Then is Then is z C3 z C2 z C5 The basic structure of Mamdani method for this problem is shown in Figure 3.11 below: Figure . Basic Structure of Fuzzy Mamdani Method Fuzzification The first step is take the crisp inputs, and and determine the degree for each input in x1 y1, appropriate fuzzy sets. The crisp input is a numerical value limited to the universe of discourse. In our case, values of and are limited to the universe of discourses and x1 y1 X
Rule 1: If x is A1 AND y is B1 Then z is C1 Rule 2: If x is A1 AND y is B2 Then z is C2 Rule 3: If x is A1 AND y is B3 Then z is C3 Rule 4: If x is A2 AND y is B1 Then z is C2 Rule 5: If x is A2 AND y is B2 Then z is C2 Rule 6: If x is A2 AND y is B3 Then z is C2 Rule 7: If x is A3 AND y is B1 Then z is C4 Rule 8: If x is A3 AND y is B2 Then z is C2 Rule 9: If x is A3 AND y is B3 Then z is C5 The basic structure of Mamdani method for this problem is shown in Figure 3.11 below: Figure . Basic Structure of Fuzzy Mamdani Method Fuzzification The first step is take the crisp inputs, x1 and y1, and determine the degree for each input in appropriate fuzzy sets. The crisp input is a numerical value limited to the universe of discourse. In our case, values of x1 and y1 are limited to the universe of discourses X and