1. Fuzzy Approach

2. Crisp Vs Fuzzy Crisp boundary Membership value 1 young old 25 age25
age
CS 331/531 Dr M M Awais

3. Crisp Vs Fuzzy young Fuzzy boundary Membership value 1 old 30 25 age25
age
CS 331/531 Dr M M Awais

4. Crisp Vs Fuzzy MV of young is 1 young MV of old is 0 Membership value30 25
age
Fuzzy Young
CS 331/531 Dr M M Awais

5. 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

6. 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

7. Fuzzy Rule Base System Fuzzify each antecedent
Find the fuzzy value for the conclusion
Defuzzify this value
CS 331/531 Dr M M Awais

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

16. 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

17. 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