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The following rules are defined for a Mamdani fuzzy inference system with two inputs and one output: If e is EP then u is DUIP

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The following rules are defined for a Mamdani fuzzy inference system with two inputs and one output: If e is EP then u is DUIP If e is EN then u is DUN If e is EZ and e is DES then u is DUZ If e is EZ and e is DEZ then u is DUS EN The fuzzy sets are: EN-trapmf (e:-5,-5,-2.5,0) EZ-trimf (e:-2.5, 0,2.5)25 EP-trapmf (e:0,2.5,5,5) '25 ? C2 DES-trapmf (ei-1,-0.1,0.1,1) DEZ-trimf (ei-0.1,0,0.1) DUN-trapmf (ui-1,-1,-0.8,0) Dus-trinflu:-0.5,0,0.5) DUZ-trimf (ui-0.1,0,0.1) DUP-trapmf (u:0,0.8,1,1) -? EP 2s S Apply the following techniques Use the 'min' operator for the 'and' operation. Use the 'max' operator for the or' operation. Use the 'min' operator for the iplication' operation. Use the 'max' operator for the 'aggregation' operation. Use the 'mean of maximum' operator for the 'defuzzification operation. Determine u when e#1.5 and e 0.5 The following rules are defined for a Mamdani fuzzy inference system with two inputs and one output: If e is EP then u is DUIP If e is EN then u is DUN If e is EZ and e is DES then u is DUZ If e is EZ and e is DEZ then u is DUS EN The fuzzy sets are: EN-trapmf (e:-5,-5,-2.5,0) EZ-trimf (e:-2.5, 0,2.5)25 EP-trapmf (e:0,2.5,5,5) '25 ? C2 DES-trapmf (ei-1,-0.1,0.1,1) DEZ-trimf (ei-0.1,0,0.1) DUN-trapmf (ui-1,-1,-0.8,0) Dus-trinflu:-0.5,0,0.5) DUZ-trimf (ui-0.1,0,0.1) DUP-trapmf (u:0,0.8,1,1) -? EP 2s S Apply the following techniques Use the 'min' operator for the 'and' operation. Use the 'max' operator for the or' operation. Use the 'min' operator for the iplication' operation. Use the 'max' operator for the 'aggregation' operation. Use the 'mean of maximum' operator for the 'defuzzification operation. Determine u when e#1.5 and e 0.5

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