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Fuzzy Approach in Crisp vs. Fuzzy Boundary Modeling

Explore the concept of crisp versus fuzzy boundary in modeling using membership values. Understand the differences between crisp and fuzzy systems in a computational science course.

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Fuzzy Approach in Crisp vs. Fuzzy Boundary Modeling

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  1. Fuzzy Approach

  2. Crisp Vs Fuzzy Crisp boundary 1 Membership value young old 25 0 age CS 331/531 Dr M M Awais

  3. Crisp Vs Fuzzy young Fuzzy boundary 1 Membership value old 30 25 0 age CS 331/531 Dr M M Awais

  4. Crisp Vs Fuzzy MV of young is 1 MV of old is 0 young 1 Membership value old 30 25 0 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 1 Membership value 0.5 old 30 25 0 age CS 331/531 Dr M M Awais

  6. Crisp Vs Fuzzy Some what young young Nearly old MV varies from 0.5 to 0 1 Membership value 0.5 old 30 25 0 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. Membership value temp IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH Fuzzify the conditions CS 331/531 Dr M M Awais

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

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

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

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

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

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

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

  17. Membership value Membership value Membership value THERMO Hum temp IF TEMP. 20C and HUMDITY 20% THEN THERMOSTAT HIGH 0.3 0.6 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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