In mathematics, fuzzy sets (also known as uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently...

called standard fuzzy set operations; they comprise: fuzzy complements, fuzzy intersections, and fuzzy unions. Let A and B be fuzzy sets that A,B ⊆ U, u...

values 0 or 1. The term fuzzy logic was introduced with the 1965 proposal of fuzzy set theory by mathematician Lotfi Zadeh. Fuzzy logic had, however, been...

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...

fuzzy mathematics, consisting of several fuzzy-related concepts: fuzzy sets, fuzzy logic, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control...

mathematics. In set theory as Cantor defined and Zermelo and Fraenkel axiomatized, an object is either a member of a set or not. In fuzzy set theory this...

represent fuzzy concepts mathematically, using fuzzy logic, fuzzy values, fuzzy variables and fuzzy sets (see also fuzzy set theory). Fuzzy logic is not...

Type-2 fuzzy sets and systems generalize standard type-1 fuzzy sets and systems so that more uncertainty can be handled. From the beginning of fuzzy sets, criticism...

with the introduction of fuzzy sets, the field has since evolved to include fuzzy set theory, fuzzy logic, and various fuzzy analogues of traditional...

based on a property of its members Family of sets – Any collection of sets, or subsets of a set Fuzzy set – Sets whose elements have degrees of membership...

characteristic function to describe the function that indicates membership in a set. In fuzzy logic and modern many-valued logic, predicates are the characteristic...

lower- and upper-approximation sets are crisp sets, but in other variations, the approximating sets may be fuzzy sets. The following section contains...

In computer science and operations research, Genetic fuzzy systems are fuzzy systems constructed by using genetic algorithms or genetic programming, which...

A fuzzy number is a generalization of a regular real number in the sense that it does not refer to one single value but rather to a connected set of possible...

factor in ordinary differential equations the degree of membership in a fuzzy set the Möbius function in number theory the population mean or expected value...

of sets Boolean function Complement (set theory) Difference (set theory) Exclusive or Fuzzy set Intersection (set theory) Jaccard index List of set identities...

Fuzzy Sets and Systems is a peer-reviewed international scientific journal published by Elsevier on behalf of the International Fuzzy Systems Association...

working fuzzy chip during a technical fair. Defuzzification Fuzzy set Fuzzy set operations "Fuzzy plan with a purpose". Computerworld. Vol. 25, no. 41. 1991-10-14...

mathematics, the membership function of a fuzzy set is a generalization of the indicator function for classical sets. In fuzzy logic, it represents the degree of...

Goguen was one of the earliest researchers in fuzzy logic and made profound contributions to fuzzy set theory. In the 1970s Goguen's work was one of the...

and Cooper, 1961). Fuzzy-set theorists Fuzzy sets were introduced by Zadeh (1965) as an extension of the classical notion of sets. This idea is used in...

Fuzzy classification is the process of grouping elements into fuzzy sets whose membership functions are defined by the truth value of a fuzzy propositional...

achieved by representing the linguistic variables A and B using fuzzy sets. In a fuzzy rule, modus ponens is extended to generalised modus ponens:. Premise:...

of fuzzy systems through the use of fuzzy sets and a linguistic model consisting of a set of IF-THEN fuzzy rules. The main strength of neuro-fuzzy systems...

Fuzzy clustering (also referred to as soft clustering or soft k-means) is a form of clustering in which each data point can belong to more than one cluster...

In mathematics, fuzzy measure theory considers generalized measures in which the additive property is replaced by the weaker property of monotonicity...

Generalized nets and Intuitionistic fuzzy sets, which are extensions of the concepts of Petri nets and Fuzzy sets, respectively. Krassimir Atanassov graduated...

applied fuzzy logic and fuzzy set theory as a theoretical basis for approximate reasoning. T-norm fuzzy logics belong in broader classes of fuzzy logics...

theory Fuzzy mathematics a branch of mathematics based on fuzzy set theory and fuzzy logic. Fuzzy measure theory Fuzzy set theory a form of set theory...

Fuzzy retrieval techniques are based on the Extended Boolean model and the Fuzzy set theory. There are two classical fuzzy retrieval models: Mixed Min...