e., both systematic and random contributions to the total uncertainty. Random-fuzzy variable (RFV) is a type 2 fuzzy variable, defined using the mathematical...
15 KB (2,175 words) - 16:08, 29 May 2025
system Fuzzy control system Fuzzy logic Fuzzy set Granular computing Perceptual Computing Rough set Soft set Vagueness Random-fuzzy variable L. A. Zadeh...
22 KB (3,371 words) - 00:24, 30 May 2025
Propagation of uncertainty (category Algebra of random variables)
effect of variables' uncertainties (or errors, more specifically random errors) on the uncertainty of a function based on them. When the variables are the...
30 KB (4,020 words) - 12:33, 19 May 2025
represent fuzzy concepts mathematically, using fuzzy logic, fuzzy values, fuzzy variables and fuzzy sets (see also fuzzy set theory). Fuzzy logic is not...
198 KB (27,671 words) - 22:07, 30 June 2025
Linguistic value (redirect from Linguistic variable)
or fuzzy sets and systems. Variables that take linguistic values are called linguistic variables. For example, "age" may be a linguistic variable if its...
2 KB (288 words) - 10:54, 11 May 2025
of random variables limited to intervals of finite length in a wide variety of disciplines. The beta distribution is a suitable model for the random behavior...
245 KB (40,559 words) - 20:35, 30 June 2025
Indicator function (redirect from Indicator random variable)
measurable set, then 1 A {\displaystyle \mathbf {1} _{A}} becomes a random variable whose expected value is equal to the probability of A: E X { 1...
17 KB (2,543 words) - 13:47, 8 May 2025
Free and open-source software portal American Fuzzy Lop (AFL), stylized in all lowercase as american fuzzy lop, is a free software fuzzer that employs genetic...
24 KB (2,504 words) - 10:48, 24 May 2025
[citation needed] Fuzzy set Uncertainty Interval arithmetic Random variable Dijkman, J.G; Haeringen, H van; Lange, S.J de (1983). "Fuzzy numbers". Journal...
3 KB (332 words) - 07:53, 7 March 2025
random variable Variance – Statistical measure of how far values spread from their average Fuzzy logic – System for reasoning about vagueness Fuzzy measure...
26 KB (3,591 words) - 11:44, 23 April 2025
modern practice of random forests, in particular: Using out-of-bag error as an estimate of the generalization error. Measuring variable importance through...
46 KB (6,532 words) - 18:07, 27 June 2025
uncertainty analysis History of measurement Propagation of uncertainty Random-fuzzy variable Repeatability Set identification Test method Uncertainty Uncertainty...
27 KB (3,800 words) - 18:53, 14 October 2024
define a CRF on observations X {\displaystyle {\boldsymbol {X}}} and random variables Y {\displaystyle {\boldsymbol {Y}}} as follows: Let G = ( V , E ) {\displaystyle...
17 KB (2,065 words) - 18:45, 20 June 2025
Hash function (section Fuzzy hash)
requirement excludes hash functions that depend on external variable parameters, such as pseudo-random number generators or the time of day. It also excludes...
50 KB (7,455 words) - 01:15, 2 July 2025
techniques to the input. (Fuzzy extractors convert biometric data into secret, uniformly random, and reliably reproducible random strings.) These techniques...
28 KB (4,919 words) - 21:54, 23 July 2024
Control system (section Fuzzy logic)
controlled process variable (PV) at the desired setpoint (SP). There are several types of linear control systems with different capabilities. Fuzzy logic is an...
9 KB (1,835 words) - 14:33, 23 April 2025
_{t=0}^{\infty }\gamma ^{t}R_{t+1}\mid S_{0}=s\right],} where the random variable G {\displaystyle G} denotes the discounted return, and is defined as...
69 KB (8,194 words) - 07:45, 30 June 2025
Possibility theory (category Fuzzy logic)
(see for example Gerla 2001). Fuzzy measure theory Logical possibility Modal logic Probabilistic logic Random-fuzzy variable Transferable belief model Upper...
9 KB (1,432 words) - 08:14, 6 September 2024
Jinwu (2016). "Law of Large Numbers for Uncertain Random Variables". IEEE Transactions on Fuzzy Systems. 24 (3): 615–621. doi:10.1109/TFUZZ.2015.2466080...
45 KB (6,394 words) - 13:13, 25 June 2025
denotes an argument of a function. Free variables and bound variables A random variable is a kind of variable that is used in probability theory and its...
31 KB (3,784 words) - 15:16, 7 June 2025
Regression discontinuity design (section Fuzzy RDD)
is effectively random. Treatment assignment at the threshold can be "as good as random" if there is randomness in the assignment variable and the agents...
23 KB (2,962 words) - 03:49, 4 December 2024
Interval estimation (section Fuzzy logic)
When looking at fuzzy logic rule evaluation, membership functions convert our non-binary input information into tangible variables. These membership...
19 KB (2,464 words) - 14:32, 23 May 2025
other very efficient fuzzy classifiers. Algorithms for constructing decision trees usually work top-down, by choosing a variable at each step that best...
47 KB (6,542 words) - 01:13, 20 June 2025
conditional expectation of a random variable. The objective is to find a non-linear relation between a pair of random variables X and Y. In any nonparametric...
9 KB (1,261 words) - 07:54, 4 June 2024
clustering Cluster analysis BIRCH DBSCAN Expectation–maximization (EM) Fuzzy clustering Hierarchical clustering k-means clustering k-medians Mean-shift...
39 KB (3,386 words) - 19:51, 2 June 2025
Defuzzification (category Fuzzy logic)
that transform a number of variables into a fuzzy result, that is, the result is described in terms of membership in fuzzy sets. For example, rules designed...
4 KB (577 words) - 13:26, 4 April 2025
correcting codes. Decorrelation Hardware random number generator Randomness merger Fuzzy extractor Extracting randomness from sampleable distributions. Portal...
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which a graph expresses the conditional dependence structure between random variables. Graphical models are commonly used in probability theory, statistics—particularly...
11 KB (1,278 words) - 04:58, 15 April 2025
suitable to be used with fuzzy sets and further called fuzzy metric spaces A probability metric D between two random variables X and Y may be defined,...
8 KB (1,058 words) - 21:37, 27 May 2025
Probability space (section Random variables)
alternative approaches for axiomatization, such as the algebra of random variables. A probability space is a mathematical triplet ( Ω , F , P ) {\displaystyle...
24 KB (3,575 words) - 00:56, 12 February 2025