Assume a system for washing eggs is controlled with the following variables, whose numeric values have been normalized to the interval [0, 1] with triangular membership functions. Linguistic input variables: Egg dirt with linguistic values as follows: Signal name: Low: Acceptable: High: egg_dirt for numeric values O to 0.5 for numeric values 0.25 to 0.75 for numeric values 0.5 to 1.0 Hot water flow rate sprayed by water washer on eggs with linguistic values as follows: Signal name: Low: High: flow_rate for numeric values O to 0.75 for numeric values 0.25 to 1.0 Linguistic output variable: Water-valve position with linguistic values as follows: Signal name: position Low: for numeric values 0 to 0.5 Medium: for numeric values 0.25 to 0.75 High: for numeric values 0.5 to 1.0 1 An experienced human operator described verbally his/her prior knowledge by the following rules: 1. IF (egg_dirt is low) AND (flow_rate is low) THEN (position is low) 2. IF (egg_dirt is low) AND (flow_rate is high) THEN (position is low) 3. IF (egg_dirt is acceptable) THEN (position is medium) 4. IF (egg_dirt is high) AND (flow_rate is low) THEN (Position is high) 5. IF (egg_dirt is high) AND (flow_rate is high) THEN (position is high) Tasks Create and draw triangular membership functions of input and output variables. Determine the resulting output of the water-valve position, if the state of variables egg_dirt = 0.3, flow_rate = 0.4. Show all steps of your solution in detail as discussed in class. Assume a system for washing eggs is controlled with the following variables, whose numeric values have been normalized to the interval [0, 1] with triangular membership functions. Linguistic input variables: Egg dirt with linguistic values as follows: Signal name: Low: Acceptable: High: egg_dirt for numeric values O to 0.5 for numeric values 0.25 to 0.75 for numeric values 0.5 to 1.0 Hot water flow rate sprayed by water washer on eggs with linguistic values as follows: Signal name: Low: High: flow_rate for numeric values O to 0.75 for numeric values 0.25 to 1.0 Linguistic output variable: Water-valve position with linguistic values as follows: Signal name: position Low: for numeric values 0 to 0.5 Medium: for numeric values 0.25 to 0.75 High: for numeric values 0.5 to 1.0 1 An experienced human operator described verbally his/her prior knowledge by the following rules: 1. IF (egg_dirt is low) AND (flow_rate is low) THEN (position is low) 2. IF (egg_dirt is low) AND (flow_rate is high) THEN (position is low) 3. IF (egg_dirt is acceptable) THEN (position is medium) 4. IF (egg_dirt is high) AND (flow_rate is low) THEN (Position is high) 5. IF (egg_dirt is high) AND (flow_rate is high) THEN (position is high) Tasks Create and draw triangular membership functions of input and output variables. Determine the resulting output of the water-valve position, if the state of variables egg_dirt = 0.3, flow_rate = 0.4. Show all steps of your solution in detail as discussed in class
