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Fuzzy Approach

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**Crisp Vs Fuzzy Crisp boundary Membership value 1 young old 25 age**

25 age CS 331/531 Dr M M Awais

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**Crisp Vs Fuzzy young Fuzzy boundary Membership value 1 old 30 25 age**

25 age CS 331/531 Dr M M Awais

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**Crisp Vs Fuzzy MV of young is 1 young MV of old is 0 Membership value**

30 25 age Fuzzy Young CS 331/531 Dr M M Awais

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**Crisp Vs Fuzzy Some what young MV varies from 0.5 to 1 young**

Membership value 0.5 old 30 25 age CS 331/531 Dr M M Awais

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**Crisp Vs Fuzzy Some what young young Nearly old Membership value**

MV varies from 0.5 to 0 1 Membership value 0.5 old 30 25 age CS 331/531 Dr M M Awais

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**Fuzzy Rule Base System Fuzzify each antecedent**

Find the fuzzy value for the conclusion Defuzzify this value CS 331/531 Dr M M Awais

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**Fuzzify the conditions**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Fuzzify the conditions CS 331/531 Dr M M Awais

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**Fuzzify the conditions**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value Fuzzify the conditions CS 331/531 Dr M M Awais

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**Fuzzify the conclusion**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value THERMO Membership value Fuzzify the conclusion CS 331/531 Dr M M Awais

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**Find the membership for Temp 20**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value THERMO Membership value 0.6 20 Find the membership for Temp 20 CS 331/531 Dr M M Awais

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**Find the membership for humidity 20%**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH Hum Membership value THERMO Membership value temp Membership value 0.6 0.3 20 20 Find the membership for humidity 20% CS 331/531 Dr M M Awais

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**Transfer the values to find the membership value of Thermo**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH Transfer the min value as and operator exists between conditions temp Membership value Hum Membership value THERMO Membership value 0.6 0.3 20 20 Transfer the values to find the membership value of Thermo CS 331/531 Dr M M Awais

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**Transfer the values to find the membership value of Thermo**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH Transfer the min value as and operator exists between conditions temp Membership value Hum Membership value THERMO Membership value 0.6 0.3 20 20 Min(0.3,0.6) Transfer the values to find the membership value of Thermo CS 331/531 Dr M M Awais

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**Transfer the values to find the membership value of Thermo**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value THERMO Membership value 0.6 0.3 0.3 20 20 Transfer the values to find the membership value of Thermo CS 331/531 Dr M M Awais

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**Defuzzify the membership value of Thermo**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value THERMO Membership value 0.6 0.3 0.3 25 20 20 Defuzzify the membership value of Thermo CS 331/531 Dr M M Awais

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**The new thermo setting is 25 after this rule fires**

IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH temp Membership value Hum Membership value THERMO Membership value 0.6 0.3 0.3 25 20 20 The new thermo setting is 25 after this rule fires CS 331/531 Dr M M Awais

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Fuzzy Inference Systems. Fuzzy inference (reasoning) is the actual process of mapping from a given input to an output using fuzzy logic. The process involves.

Fuzzy Inference Systems. Fuzzy inference (reasoning) is the actual process of mapping from a given input to an output using fuzzy logic. The process involves.

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