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Lotfi Aliasker Zadeh [5] (/ ˈ z ɑː d eɪ /; Azerbaijani: Lütfi Rəhim oğlu Ələsgərzadə; [6] Persian: لطفی علیعسکرزاده; [2] 4 February 1921 – 6 September 2017) [1] [3] was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher, and professor [7] of computer science at the University of California, Berkeley.
The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by mathematician Lotfi Zadeh. [2] [3] Fuzzy logic had, however, been studied since the 1920s, as infinite-valued logic—notably by Łukasiewicz and Tarski. [4] Fuzzy logic is based on the observation that people make decisions based on imprecise and non-numerical ...
Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 after the publication of Lotfi Asker Zadeh's seminal work Fuzzy sets. [1]
A fuzzy set is a pair (,) where is a set (often required to be non-empty) and : [,] a membership function. The reference set (sometimes denoted by or ) is called universe of discourse, and for each , the value () is called the grade of membership of in (,).
A fuzzy relation is the cartesian product of mathematical fuzzy sets. [1] Two fuzzy sets are taken as input, the fuzzy relation is then equal to the cross product of the sets which is created by vector multiplication. Usually, a rule base is stored in a matrix notation which allows the fuzzy controller to update its internal values. [2] [3]
Jeff Bonwick – invented slab allocation and ZFS; Grady Booch – Unified Modeling Language, Object Management Group; George Boole – Boolean logic; Andrew Booth – developed the first rotating drum storage device; Kathleen Booth – developed the first assembly language
Mary Wynne Warner (née Davies; [1] 22 June 1932 – 1 April 1998) was a Welsh mathematician, specializing in fuzzy mathematics. [2] [3] Her obituary in the Bulletin of the London Mathematical Society noted that fuzzy topology was "the field in which she was one of the pioneers and recognized as one of the leading figures for the past thirty years."
A fuzzy control system is a control system based on fuzzy logic—a mathematical system that analyzes analog input values in terms of logical variables that take on continuous values between 0 and 1, in contrast to classical or digital logic, which operates on discrete values of either 1 or 0 (true or false, respectively).