FUZZY MATHEMATICS
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] Linguistics is an example of a field that utilizes fuzzy set theory. Definition [ edit ] A fuzzy subset A of a set X is a function A : X → L , where L is the interval [0, 1]. This function is also called a membership function. A membership function is a generalization of an indicator function (also called a characteristic function ) of a subset defined for L = {0, 1}. More generally, one can use any complete lattice L in a definition of a fuzzy subset A . [2] Fuzzi...