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Logic frameworks (fuzzy vs. crisp)

Lecture 02: Logic Frameworks. Topics:. Logic frameworks (fuzzy vs. crisp). References:. Chapter 11 in Burrough and McDonnell, 1998, pp. 265-291 Chapter 1 in Zimmermann, H.J. 1985. Lecture 02: Logic Frameworks. Outlines. Logic frameworks (fuzzy vs. crisp). 1. Set Definition:

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Logic frameworks (fuzzy vs. crisp)

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  1. Lecture 02: Logic Frameworks Topics: Logic frameworks (fuzzy vs. crisp) References: Chapter 11 in Burrough and McDonnell, 1998, pp. 265-291 Chapter 1 in Zimmermann, H.J. 1985

  2. Lecture 02: Logic Frameworks Outlines Logic frameworks (fuzzy vs. crisp) 1. Set Definition: Example: Definition of Pine Forests Determination: - classification Example: Determine if a patch is Pine Forests

  3. 2. Crisp logic vs. fuzzy logic 1) Crisp logic Definition: Example: tall people (height > 6 ft) Determination: Example: Limitations:

  4. 2) Fuzzy logic Definition: Example: tall people if x< 9’: [x, A(x)=(x-6)/3] otherwise: [x, A(x)=1] (diagram) Membership function (three basic forms) Determination: Example: [(6, 0.0); (7, 0.33); (7.5, 0.5); (8.0, 0.67)]

  5. 3) Crisp sets vs. fuzzy sets 3. Simple set operators The AND and OR operators for sets 1) under crisp logic 2) under fuzzy logic 4. The relevance to geography

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