Fuzzy logic is a form of many-valued logic derived from fuzzy set theory, where truth values of variables can be any real number between 0 and 1, representing the notion of partial truth. Unlike classical Boolean logic (true/false), fuzzy logic allows reasoning with degrees of truth (e.g., “the water is moderately hot” could be represented with a truth value 0.6 on a scale of “hotness”). It’s useful for approximate reasoning, often in control systems. A fuzzy logic system has: fuzzy sets (like tall, which has a membership function mapping heights to [0,1]), fuzzy rules (if-then rules using linguistic variables, e.g., IF temperature is high AND humidity is low THEN fan_speed is high), fuzzification (mapping crisp inputs to fuzzy sets), and defuzzification (mapping fuzzy conclusions back to crisp outputs). Fuzzy logic is used in various applications like washing machines (adjusting for “a little dirty” vs “very dirty” laundry), camera auto-focus, and many control systems, providing a way to incorporate human-like reasoning.
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