Fuzzy logic

Fuzzy logic is a form of <a href="/facts/Many-valued_logic/qNI26RdF">many-valued logic</a> in which the <a href="/facts/Truth_value/SY4e2w8l">truth value</a> of variables may be any <a href="/facts/Real_number/R02gw5Pb">real number</a> between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely false. By contrast, in <a href="/facts/Boolean_algebra/VkCToAmg">Boolean logic</a>, the truth values of variables may only be the <a href="/facts/Integer/PUwwrawx">integer</a> values 0 or 1.
The term fuzzy logic was introduced with the 1965 proposal of <a href="/facts/Fuzzy_set_theory/BGWudHJq">fuzzy set theory</a> by mathematician <a href="/facts/Lotfi_A._Zadeh/WojTlG4Y">Lotfi Zadeh</a>. Fuzzy logic had, however, been studied since the 1920s, as <a href="/facts/%25C5%2581ukasiewicz_logic/PTfTcuNw">infinite-valued logic</a>—notably by <a href="/facts/Jan_%25C5%2581ukasiewicz/1rlu9ej8">Łukasiewicz</a> and <a href="/facts/Alfred_Tarski/7h6NySAj">Tarski</a>.
Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical information. Fuzzy models or fuzzy sets are mathematical means of representing <a href="/facts/Vagueness/BUlktmmr">vagueness</a> and imprecise information (hence the term fuzzy). These models have the capability of recognising, representing, manipulating, interpreting, and using data and information that are vague and lack certainty.
Fuzzy logic has been applied to many fields, from <a href="/facts/Control_theory/aIuERpn6">control theory</a> to <a href="/facts/Artificial_intelligence/lJGauQwX">artificial intelligence</a>.

Fuzzy logic open-in-new

Fuzzy logic