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Conditional Events and Fuzzy Conditional Events Viewed from a Product Probability Space Perspective

1995
This paper first provides a brief review of the product space approach to conditional event algebra and the one-point random set coverage function representation of fuzzy sets followed by a natural extension to a fuzzy set structure.
I. Goodman
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Stochastic fuzzy predictive fault‐tolerant control for time‐delay nonlinear system with actuator fault under a certain probability

Optimal control applications & methods, 2022
Owing to the characteristics of time‐delay, fault randomness, uncertainty, nonlinearity and unknown interference in industrial production processes, a stochastic fuzzy predictive fault‐tolerant control algorithm is put forward based on the traditional ...
Jia Wu   +4 more
semanticscholar   +1 more source

Incremental fuzzy probability decision-theoretic approaches to dynamic three-way approximations

Information Sciences, 2020
As a special model of three-way decision, three-way approximations in the fuzzy probability space can be interpreted, represented, and implemented as dividing the universe into three pair-wise disjoint regions, i.e., the positive, negative and boundary ...
Xin Yang   +4 more
semanticscholar   +1 more source

Fuzzy probability over fuzzy -field with fuzzy topological spaces

Fuzzy Sets and Systems, 2000
In the classical paper [J. Math. Anal. Appl. 23, 421-427 (1968; Zbl 0174.49002)] \textit{L. A. Zadeh} defined a probability of a fuzzy event \(\mu:\Omega\to [0,1]\) as \(m(\mu)=\int \mu dP\), where \((\Omega,\mathcal{F},P)\) is a classical probability space. Since then many authors have generalized this definition into different directions.
Chiang, Jershan, Yao, Jing-Shing
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Fuzzy Dynamic Bayesian Network Based Threat Assessment Model for Space Targets

2022 5th International Conference on Pattern Recognition and Artificial Intelligence (PRAI), 2022
To assess threat levels of the space target, a fuzzy Dynamic Bayesian Network is used to fuse space target characteristics. Firstly, considering the fact that input information of the threat assessment model is incomplete and uncertain, motion ...
Jiaxing Li   +4 more
semanticscholar   +1 more source

Measures of uncertainty for a fuzzy probabilistic approximation space

Journal of Intelligent & Fuzzy Systems, 2021
An approximation space (A-space) is the base of rough set theory and a fuzzy approximation space (FA-space) can be seen as an A-space under the fuzzy environment.
Lijun Chen   +4 more
semanticscholar   +1 more source

Correlation of intuitionistic fuzzy sets in probability spaces

Fuzzy Sets and Systems, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hong, Dug Hun, Hwang, Seok Yoon
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Robust Spatial–Spectral Block-Diagonal Structure Representation With Fuzzy Class Probability for Hyperspectral Image Classification

IEEE Transactions on Geoscience and Remote Sensing, 2020
Generally, the apparent spectral information of hyperspectral images (HSIs) is directly used to measure the similarity among HSI pixels in the feature space, but this process cannot reveal the inherent characteristics of HSI pixels.
Yun Ding, S. Pan, Yanwen Chong
semanticscholar   +1 more source

Probability measures over fuzzy spaces

International Journal of General Systems, 2007
A probability measure is defined on subsets of an underlying space. In classical probability theory, both the underlying space and the subsets whose probabilities we measure are crisp subsets. Zadeh provided an extension of this to the case in which the subsets whose probabilities we are measuring can be fuzzy. Here, we provide a further generalization
openaire   +1 more source

Fuzzy fault tree analysis for coal burst occurrence probability in underground coal mining

Tunnelling and Underground Space Technology, 2019
Coal burst is one of the hazardous events that mining engineers have been struggling with it since past decades. This phenomenon has sudden and violent nature and almost occurs without warning.
Adel Mottahedi, M. Ataei
semanticscholar   +1 more source

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