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A novel pythagorean fuzzy entropy measure using MCDM application in preference of the advertising company with TOPSIS approach

, 2021
The various extensions of the fuzzy set are considerably applied in many complex problems of real world to describes the improper information. The PFS (pythagorean fuzzy set) which is the expanded form of IFS (intuitionistic fuzzy set) is more applicable
Ravinder Kumar, N. Gandotra, Suman
semanticscholar   +1 more source

Fuzzy Dispersion Entropy: A Nonlinear Measure for Signal Analysis

IEEE transactions on fuzzy systems, 2022
Entropy is a powerful tool for nonlinear analysis of time series. We have recently introduced dispersion entropy (DispEn), which has widely drawn attention from researchers in a variety of settings in data analysis.
M. Rostaghi   +3 more
semanticscholar   +1 more source

Measurement of granular entropy

Physical Review E, 2009
Recently, Dean and Lefèvre [Phys. Rev. Lett. 90, 198301 (2003)] developed a method for testing the statistical mechanical theory of granular packings proposed by Edwards and co-workers [Physica A 157, 1080 (1989); Phys. Rev. E 58, 4758 (1998)]. The method relies on the prediction that the ratio of two overlapping volume histograms should be exponential
Mcnamara, Sean   +4 more
openaire   +3 more sources

Multiscale Diversity Entropy: A Novel Dynamical Measure for Fault Diagnosis of Rotating Machinery

IEEE Transactions on Industrial Informatics, 2021
In this article, a fault diagnosis scheme based on multiscale diversity entropy (MDE) and extreme learning machine (ELM) is presented. First, a novel entropy method called diversity entropy (DE) is proposed to quantify the dynamical complexity.
Xianzhi Wang, Shubin Si, Yongbo Li
semanticscholar   +1 more source

Variational mode decomposition based symmetric single valued neutrosophic cross entropy measure for the identification of bearing defects in a centrifugal pump

Applied Acoustics, 2020
This work contributes towards the development of a new approach of automatic identification of defects present in the bearing of a centrifugal pump using symmetric single valued neutrosophic cross entropy (SVNCE) of Variational Mode Decomposition (VMD ...
Anil Kumar   +4 more
semanticscholar   +1 more source

Entropy of Fuzzy Measure

2010
A definition for the entropy of fuzzy measures defined on set systems is proposed. The underlying set is not necessarily the whole power set, but satisfy a condition of regularity. This definition encompasses the classical definition of Shannon for probability measures, as well as the definition of Marichal et al.
Aoi Honda, Michel Grabisch
openaire   +1 more source

Entropy as a measure

IEEE Transactions on Information Theory, 1965
A probability space of a special type is put into correspondence with a measure space. Under this correspondence, sets in the measure space correspond to partitions of the probability space and the measure of a set equals the entropy of the corresponding partition.
openaire   +2 more sources

Optimized Fuzzy Slope Entropy: A Complexity Measure for Nonlinear Time Series

IEEE Transactions on Instrumentation and Measurement
Entropy has long been a subject that has attracted researchers from a diverse range of fields, including healthcare, finance, and fault detection. Slope entropy (SE) has recently been proposed as a new approach to address the shortcomings of permutation ...
Yuxing Li   +4 more
semanticscholar   +1 more source

The measurement of entropy

2022
This chapter studies the measurement of the entropy of a substance, which is important to make the Second Law quantitative. This is achieved by measuring heat capacities. The chapter then looks at the calorimetric measurement of entropy. Entropies are determined calorimetrically by measuring the heat capacity of a substance from low temperatures up to ...
Peter Atkins   +2 more
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On the Shannon measure of entropy

Information Sciences, 1981
Abstract This paper deals with the axiomatic characterization of Shannon's entropy for generalized probability distributions (A. Renyi, 1961). Also the author has extended Shannon's entropy to subsets of n-dimensional Euclidean space, n = 1,2,3,…. Finally, he has introduced a functional equation, which is a generalization of the one due to T.
openaire   +1 more source

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