Explain briefly the following terms and concepts:

a. extension

b. fuzzy set

c. prototype

d. ostensive definition

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The extension principle extends crisp/defined domains to fuzzy ones. A fuzzy set is different from a crisp one in that in a fuzzy set the elements have degrees of membership. The protoype of a fuzzy set is the most central to the set. The ostensive definition is using examples to indicate the defined term.

Essentially the difference between a crisp and fuzzy domain is that in a crisp domain one knows where the boundaries lay, as opposted to a fuzzy one in which the boundary is not exactly known.

Fuzzy logic is essentially how you can represent uncertainty mathematically. Probabilty achieves the same goal.

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