fuzzy approach
DESCRIPTION
Fuzzy Approach. Crisp Vs Fuzzy. Crisp boundary. 1. Membership value. young. old. 25. 0. age. Crisp Vs Fuzzy. young. Fuzzy boundary. 1. Membership value. old. 30. 25. 0. age. Crisp Vs Fuzzy. MV of young is 1 MV of old is 0. young. 1. Membership value. old. 30. 25. 0. - PowerPoint PPT PresentationTRANSCRIPT
Fuzzy Approach
CS 331/531 Dr M M Awais 2
RBS
Crisp Vs Fuzzy
young
25
age
Mem
bers
hip
valu
e
1
0
Crisp boundary
old
CS 331/531 Dr M M Awais 3
RBS
Crisp Vs Fuzzy
25
age
Mem
bers
hip
valu
e
1
0
Fuzzy boundary
old
30
young
CS 331/531 Dr M M Awais 4
RBS
Crisp Vs Fuzzy
25
age
Mem
bers
hip
valu
e
1
0
old
30
young MV of young is 1 MV of old is 0
Fuzzy Young
CS 331/531 Dr M M Awais 5
RBS
Crisp Vs Fuzzy
25
age
Mem
bers
hip
valu
e
1
0
old
30
young
Some what youngMV varies from 0.5 to 1
0.5
CS 331/531 Dr M M Awais 6
RBS
Crisp Vs Fuzzy
25
age
Mem
bers
hip
valu
e
1
0
Nearly oldMV varies from 0.5 to 0
old
30
young
Some what young
0.5
CS 331/531 Dr M M Awais 7
RBS
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
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Fuzzify the conditions
CS 331/531 Dr M M Awais 9
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
Fuzzify the conditions
CS 331/531 Dr M M Awais 10
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
Fuzzify the conclusion
CS 331/531 Dr M M Awais 11
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
Find the membership for Temp 20
CS 331/531 Dr M M Awais 12
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3
Find the membership for humidity 20%
CS 331/531 Dr M M Awais 13
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3
Transfer the min value as and operator exists between conditions
Transfer the values to find the membership value of Thermo
CS 331/531 Dr M M Awais 14
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3
Transfer the min value as and operator exists between conditions
Min(0.3,0.6)
Transfer the values to find the membership value of Thermo
CS 331/531 Dr M M Awais 15
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3 0.3
Transfer the values to find the membership value of Thermo
CS 331/531 Dr M M Awais 16
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3 0.3
25
Defuzzify the membership value of Thermo
CS 331/531 Dr M M Awais 17
RBS
temp
Mem
bers
hip
valu
e
IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH
Hum
Mem
bers
hip
valu
e
THERMO
Mem
bers
hip
valu
e
20
0.6
20
0.3 0.3
25
The new thermo setting is 25 after this rule firesThe new thermo setting is 25 after this rule fires