Logic frameworks (fuzzy vs. crisp)

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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
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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
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2. Crisp logic vs. fuzzy logic 1) Crisp
logic Definition Example tall
people (height gt 6 ft) Determination
Example Limitations
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2) Fuzzy logic Definition
Example tall people if xlt
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)
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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