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Nearly all applications of Fuzzy logic rely on the notion of |
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linguistic variables. These are variables whose values are words rather than |
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cold hard numbers. Something like "it is nice outside" is an examples of a linquistic |
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variable. These are values which don't necessarily directly relate to |
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cold hard numbers, but, they do in a roundabout way. When I say that it is nice |
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outside, that is subjective to my opinion; other people may have different opinions |
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on what is considered nice outside. That is why this is called fuzzy logic: each |
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fuzzy set carries some tolerance for imprecision. The tolerance for ambiguity helps us model |
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the world in a more realistic form by using language rather than cold hard numbers. |
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With words we can quickly convey ideas like "young" and "old" and quickly make actions |
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based on this knowledge. Since there is no definitive answer on what is the |
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cut of for being old/young, we can use fuzzy logic to deal with partial truth values. |
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# Fuzzy Sets |
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Classical sets are mutually exclusive. In other words: things can only belong |
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to one set at a time. |
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In a fuzzy set, elements can belong to multiple sets with some degree of membership. |
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As an example, someone who is 30 may be 33% in the young set and 66% in the old set. |
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Fuzzy sets are usually are represented by trapezoids; however, other shapes such as gaussian can |
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be used. |
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## Temperature Example |
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# Fuzzy Rules |
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# Fuzzy Logic System |
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# Example |