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1 handwiki Camila Xu -- 2099 2022-11-02 01:44:02

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HandWiki. Fuzzy Control. Encyclopedia. Available online: https://encyclopedia.pub/entry/32477 (accessed on 14 October 2026).
HandWiki. Fuzzy Control. Encyclopedia. Available at: https://encyclopedia.pub/entry/32477. Accessed October 14, 2026.
HandWiki. "Fuzzy Control" Encyclopedia, https://encyclopedia.pub/entry/32477 (accessed October 14, 2026).
HandWiki. (2022, November 02). Fuzzy Control. In Encyclopedia. https://encyclopedia.pub/entry/32477
HandWiki. "Fuzzy Control." Encyclopedia. Web. 02 November, 2022.
Fuzzy Control
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Fuzzy logic is derived from fuzzy set theory dealing with reasoning that is approximate rather than precisely deduced from classical predicate logic. It can be thought of as the application side of fuzzy set theory dealing with well thought out real world expert values for a complex problem (Klir 1997). Degrees of truth are often confused with probabilities. However, they are conceptually distinct; fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition. To illustrate the difference, consider this scenario: Bob is in a house with two adjacent rooms: the kitchen and the dining room. In many cases, Bob's status within the set of things "in the kitchen" is completely plain: he's either "in the kitchen" or "not in the kitchen". What about when Bob stands in the doorway? He may be considered "partially in the kitchen". Quantifying this partial state yields a fuzzy set membership. With only his big toe in the dining room, we might say Bob is 99% "in the kitchen" and 1% "in the dining room", for instance. No event (like a coin toss) will resolve Bob to being completely "in the kitchen" or "not in the kitchen", as long as he's standing in that doorway. Fuzzy sets are based on vague definitions of sets, not randomness. Fuzzy logic allows for set membership values to range (inclusively) between 0 and 1, and in its linguistic form, imprecise concepts like "slightly", "quite" and "very". Specifically, it allows partial membership in a set. It is related to fuzzy sets and possibility theory. It was introduced in 1965 by Lotfi Zadeh at the University of California, Berkeley. Fuzzy logic is controversial in some circles, despite wide acceptance and a broad track record of successful applications. It is rejected by some control engineers for validation and other reasons, and by some statisticians who hold that probability is the only rigorous mathematical description of uncertainty. Critics also argue that it cannot be a superset of ordinary set theory since membership functions are defined in terms of conventional sets.

mathematical description fuzzy set theory validation
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