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Increasing the Discriminatory Power of DEA Using Shannon’s Entropy

Entropy, 2014
In many data envelopment analysis (DEA) applications, the analyst always confronts the difficulty that the selected data set is not suitable to apply traditional DEA models for their poor discrimination.
Qiwei Xie, Qianzhi Dai, Yongjun Li, An Jiang   +3 more
doaj   +2 more sources

Information Theory Meets Quantum Chemistry: A Review and Perspective

Entropy
In this survey, we begin with a concise introduction to information theory within Shannon’s framework, focusing on the key concept of Shannon entropy and its related quantities: relative entropy, joint entropy, conditional entropy, and mutual information.
Yilin Zhao, Dongbo Zhao, Chunying Rong, Shubin Liu, Paul W. Ayers   +4 more
doaj   +1 more source

A Note on Burg’s Modified Entropy in Statistical Mechanics

Mathematics, 2016
Burg’s entropy plays an important role in this age of information euphoria, particularly in understanding the emergent behavior of a complex system such as statistical mechanics. For discrete or continuous variable, maximization of Burg’s Entropy subject
Amritansu Ray, S. K. Majumder
doaj   +1 more source

On Computation of Degree-Based Entropy of Planar Octahedron Networks

Journal of Function Spaces, 2022
Chemical graph theory is the combination of mathematical graph theory and chemistry. To analyze the biocompatibility of the compounds, topological indices are used in the research of QSAR/QSPR studies.
Tian-Le Sun, Haidar Ali, Bilal Ali, Usman Ali, Jia-Bao Liu, Parvez Ali   +5 more
doaj   +1 more source

Exploring entropy measures in polymer graphs using logarithmic regression model

Scientific Reports
Graph Entropies, calculated from indices, quantify the structural information of chemical linkages and graphs using Shannon’s Entropy notion. This study investigates the chemical structures of polyester and polycarbonate polymers.
Muhammad Irfan, Jihad Younis, Alaa Altassan, Wafa F. Alfwzan, Nabeela Bashir, Nof T. Alharbi   +5 more
doaj   +1 more source

Extending the concept of entropy-negentropy for the assessment of ecological dominance and diversity at alpha, beta and gamma levels

Geology, Ecology, and Landscapes, 2021
Several measures of ecological diversity have been defined at alpha, beta, and gamma levels and less attention has been paid to characterise their ecological dominance.
Vinod Kumar, Ashwani Kumar Thukral, Anket Sharma, Renu Bhardwaj   +3 more
doaj   +1 more source

Monotonic Entropies

Scientific Annals of Computer Science
We introduce an axiomatization of entropy that generates, as special cases, novel entropy types. These entropies generalize Shannon’s entropy and allow the introduction of entropy for partitions of sets of objects located in metric spaces, and for ...
Dan Simovici
doaj   +1 more source

An Intrinsic Characterization of Shannon’s and Rényi’s Entropy

Entropy
All characterizations of the Shannon entropy include the so-called chain rule, a formula on a hierarchically structured probability distribution, which is based on at least two elementary distributions.
Martin Schlather, Carmen Ditscheid
doaj   +1 more source

Entropies of the Chinese Land Use/Cover Change from 1990 to 2010 at a County Level

Entropy, 2017
Land Use/Cover Change (LUCC) has gradually became an important direction in the research of global changes. LUCC is a complex system, and entropy is a measure of the degree of disorder of a system.
Yong Fan, Guangming Yu, Zongyi He, Hailong Yu, Rui Bai, Linru Yang, Di Wu   +6 more
doaj   +1 more source

The evaluation of the correlation between entropy and negentropy in the structure of a technical system

MATEC Web of Conferences, 2017
The role of information uncertainty in the structure of a technical system is defined. The application possibility of the R. Hartley’s and C.E. Shannon’s approaches in determination of entropy and negentropy of structural content of the system are ...
Dulesov Aleksander, Karandeev Denis, Krasnova Tatyana   +2 more
doaj   +1 more source