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Fuzzy logic
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====Defuzzification==== {{Main|Defuzzification}} The goal is to get a continuous variable from fuzzy truth values.<ref>{{cite book|last1=Hájek|first1=Petr|authorlink = Petr Hájek|title=Metamathematics of fuzzy logic|year=1998|publisher=Springer Science & Business Media|edition=4}}</ref><ref name="FuzzyLogic2017">{{cite journal | title = Fuzzy Logic | author1 = Kaveh Hariri Asli | author2 = Soltan Ali Ogli Aliyev | author3 = Sabu Thomas | author4 = Deepu Gopakumar | author5 = Hossein Hariri Asli | date = November 2017 | url = https://www.researchgate.net/publication/363039600 | journal = ResearchGate | access-date = 15 December 2024 }}</ref> This would be easy if the output truth values were exactly those obtained from fuzzification of a given number. Since, however, all output truth values are computed independently, in most cases they do not represent such a set of numbers.<ref name="FuzzyLogic2017"></ref> One has then to decide for a number that matches best the "intention" encoded in the truth value. For example, for several truth values of fan_speed, an actual speed must be found that best fits the computed truth values of the variables 'slow', 'moderate' and so on.<ref name="FuzzyLogic2017"></ref> There is no single algorithm for this purpose. A common algorithm is # For each truth value, cut the membership function at this value # Combine the resulting curves using the OR operator # Find the center-of-weight of the area under the curve # The x position of this center is then the final output.
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