Basic Fuzzy Event Space and Probability Distribution of Probability Fuzzy Space [PDF]
In this paper, the problems of basic fuzzy event space and of probability fuzzy space are studied. Firstly, the concepts of basic fuzzy event, fuzzy event and basic fuzzy event space are defined, related properties are investigated, and some results that
Guixiang Wang, Yifeng Xu, Sen Qin
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R-Norm Entropy and R-Norm Divergence in Fuzzy Probability Spaces [PDF]
In the presented article, we define the R-norm entropy and the conditional R-norm entropy of partitions of a given fuzzy probability space and study the properties of the suggested entropy measures.
Dagmar Markechová +2 more
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Fuzzy probability space and extension theorem
This paper deals with fundamental mathematical theory of fuzzy probability. As classical measure theory, fuzzy algebra, fuzzy \(\sigma\)- algebra and fuzzy probability, whose \(\sigma\)-additivity is characterized by the countable uncoincident fuzzy events and the operation \(\oplus\), are introduced.
Cheng, Shaozhong, Liu, Dsosu
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Probability-Density-Based Deep Learning Paradigm for the Fuzzy Design of Functional Metastructures [PDF]
In quantum mechanics, a norm-squared wave function can be interpreted as the probability density that describes the likelihood of a particle to be measured in a given position or momentum.
Ying-Tao Luo +9 more
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Fuzzy probability spaces defined by means of the fuzzy relation ‘less than’
In this paper a fuzzy relation ''less than'' and fuzzy probability spaces on the real line are defined. Fuzzy \(\sigma\)-algebras of events are introduced in an analogous way to the classical theory of probability by means of the above relation. Furthermore, specific properties of the fuzzy probability measures presented here are given.
K. Piasecki
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On the usage of the probability integral transform to reduce the complexity of multi-way fuzzy decision trees in Big Data classification problems [PDF]
We present a new distributed fuzzy partitioning method to reduce the complexity of multi-way fuzzy decision trees in Big Data classification problems. The proposed algorithm builds a fixed number of fuzzy sets for all variables and adjusts their shape ...
Bustince, Humberto +3 more
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Fuzzy Probability Spaces and Their Applications in Decision Making
In this paper, two types of fuzzy probability spaces will be introduced and their applications in methods of decision making under risk (especially in the Decision Matrix Method) will be described.
Jana Talašová, Ondřej Pavlačka
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Several Limit Theorems on Fuzzy Quantum Space
The probability theory using fuzzy random variables has applications in several scientific disciplines. These are mainly technical in scope, such as in the automotive industry and in consumer electronics, for example, in washing machines, televisions ...
Viliam Ďuriš +2 more
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Management and comprehensive assessment of the probability of bankruptcy of Ukrainian enterprises based on the methods of fuzzy sets theory [PDF]
Managing and evaluating the probability of bankruptcy of Ukrainian enterprises is one of the most complex and relevant problems of the economy and management. In the context of Ukraine’s integration into the international space, there is an arising issue
Serhii Kozlovskyi +5 more
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This study focuses on MATLAB code programs of the entire stages of solving Stochastic Transportation Linear Programming Problems with Fuzzy Uncertainty Information on Probability Distribution Space (STLPPFI) with its algorithm outlines.
Halgurd N. Azeez, Abdulqader O. Ameen
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