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

Lotfi Zadeh first introduced possibility theory in 1978 as an extension of his theory of fuzzy sets and fuzzy logic. Didier Dubois and Henri Prade further...

theorem Content (measure theory) Fubini's theorem Fatou's lemma Fuzzy measure theory Geometric measure theory Hausdorff measure Inner measure Lebesgue integration...

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

element either belongs or does not belong to the set. By contrast, fuzzy set theory permits the gradual assessment of the membership of elements in a set;...

information theory, fuzzy set theory and fuzzy logic, theory of generalized measures, and soft computing. Systems science portal Fuzzy measure theory Fuzzy logic...

Statistical measure of how far values spread from their average Fuzzy logic – System for reasoning about vagueness Fuzzy measure theory – theory of generalized...

such as fuzzy field theory and fuzzy Galois theory, fuzzy topology, fuzzy geometry, fuzzy orderings, and fuzzy graphs. Fuzzy measure theory Fuzzy subalgebra...

these measures, and their convolution in particular. Borel measure – Measure defined on all open sets of a topological space Fuzzy measure – theory of generalized...

capacity. Defuzzification Fuzzy measure theory Fuzzy set operations Rough set First in Goguen (1967). Zadeh L.A., 1965, "Fuzzy sets". Information and Control...

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

Fuzzy-trace theory (FTT) is a theory of cognition originally proposed by Valerie F. Reyna and Charles Brainerd to explain cognitive phenomena, particularly...

precisely in measure theory, an atom is a measurable set that has positive measure and contains no set of smaller positive measures. A measure that has no...

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...

(mathematics) Measure space Fuzzy measure theory Filtered probability space Talagrand's concentration inequality Loève, Michel. Probability Theory, Vol 1. New...

"type-2 fuzzy set". A type-2 fuzzy set lets us incorporate uncertainty about the membership function into fuzzy set theory, and is a way to address the...

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...

necessity measure can be seen as a lower probability and a possibility measure can be seen as an upper probability. Possibility theory Fuzzy measure theory Interval...

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

probability theory Concentration inequality – a summary of McDiarmid's and several similar inequalities. Expected value and Variance Fuzzy logic and Fuzzy measure...

similarity measures based on the L2 norm. LAPART The Laterally Primed Adaptive Resonance Theory (LAPART) neural networks couple two Fuzzy ART algorithms...

intelligence, the designation neuro-fuzzy refers to combinations of artificial neural networks and fuzzy logic. Neuro-fuzzy hybridization results in a hybrid...

approximation Functional boxplot Functional data analysis Funnel plot Fuzzy logic Fuzzy measure theory FWL theorem – relating regression and projection G/G/1 queue...

integral, named after M. Sugeno, is a type of integral with respect to a fuzzy measure. Let ( X , Ω ) {\displaystyle (X,\Omega )} be a measurable space and...

Intuitionistic Fuzzy Sets Theory, Springer, Heidelberg, 2012. Atanassov, K., P. Vassilev, R. Tsvetkov. Intuitionistic Fuzzy Sets, Measures and Integrals...

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...

L.A.Zadeh introduced the concepts of fuzzy variables and fuzzy sets. Fuzzy variables are based on the theory of possibility and hence are possibility...

functions of sets only take values 1 (members) or 0 (non-members). In fuzzy set theory, characteristic functions are generalized to take value in the real...

wrong; in the theory of measurement, classification is understood as measurement against a nominal scale. Thus it is possible to try to measure the accuracy...

Effects, How Does Fuzzy-Trace Theory Predict Them, and How Does This Matter For Eyewitness Testimony?". Methods, measures, and theories in eyewitness identification...