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