• 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
  • 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
  • Thumbnail for American Fuzzy Lop (software)
    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
  • Thumbnail for Indicator function
    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
  • Thumbnail for Beta distribution
    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
  • 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
  • Thumbnail for Fuzzy number
    [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
  • 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
  • Thumbnail for Probability theory
    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
  • 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
  • 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
  • Thumbnail for Hash function
    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
  • Thumbnail for Control system
    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
  • 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
  • Thumbnail for Law of large numbers
    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
  • Thumbnail for Reinforcement learning
    _{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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Thumbnail for Defuzzification
    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...
    19 KB (3,084 words) - 12:39, 3 May 2025
  • 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
  • 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
  • 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
  • Thumbnail for Probability space
    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