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From Citizendium, the Citizens' Compendium

Fuzzy logic denotes several topics which are associated with the notion of the fuzzy subset defined in 1965 by Lotfi Zadeh. The idea is that we can represent the extension of a vague property by a generalized characteristic function in which truth values within the interval [0,1] are admitted, e.g., 0.5.

We have to distinguish two possible interpretations of the expression "fuzzy logic". The first one is given by people interested to applications and to an informal utilization of the notion of fuzzy subset. In such a case should be better expressions as "fuzzy logic in the broad sense" or "fuzzy subset theory".

Another interpretation is given by people which consider fuzzy logic as a chapter of formal logic, more precisely of multi-valued logic. In such a case one uses expressions as "fuzzy logic in narrow sense" or "formal fuzzy logic".

See also

• Fuzzy subalgebra
• Fuzzy associative matrix
• FuzzyCLIPS expert system
• Fuzzy control
• Fuzzy set
• Multi-valued logic
• Neuro-fuzzy
• Paradox of the heap
• Pattern recognition
• Rough set
• Soft-computing