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A framework that deals with systems where categories are not crisp but graded, and where truth is a matter of degree rather than binary. Fuzzy systems use membership functions (partial belonging) and fuzzy logic to handle vagueness, uncertainty, and approximation. The theory is applied in control systems, artificial intelligence, and decision‑making where traditional binary logic fails. It acknowledges that many real‑world phenomena – “warm,” “tall,” “democratic” – are matters of degree.
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