scholarly journals On Properties of Distance-Based Entropies on Fullerene Graphs

Entropy ◽  
2019 ◽  
Vol 21 (5) ◽  
pp. 482 ◽  
Author(s):  
Modjtaba Ghorbani ◽  
Matthias Dehmer ◽  
Mina Rajabi-Parsa ◽  
Abbe Mowshowitz ◽  
Frank Emmert-Streib
Keyword(s):  
Information Content ◽  
Information Entropy ◽  
Pearson Correlation ◽  
Entropy Measure ◽  
Topological Information ◽  
Graph Properties ◽  
Entropy Measures ◽  
Fullerene Graphs

In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph I a ( G ) , a degree-based entropy measure, the eccentric-entropy I f σ ( G ) , the Hosoya entropy H ( G ) and, finally, the radial centric information entropy H e c c . We compare these measures on two infinite classes of fullerene graphs denoted by A 12 n + 4 and B 12 n + 6 . We have chosen these measures as they are easily computable and capture meaningful graph properties. To demonstrate the utility of these measures, we investigate the Pearson correlation between them on the fullerene graphs.

scholarly journals Using Derived Kernel as a new Method for Recognition a Similarity Learning.

2020 ◽  
Vol 9 (3) ◽  
pp. 1974-1980
Keyword(s):  
Significant Relationship ◽  
State Of The Art ◽  
Pearson Correlation ◽  
Research Work ◽  
Entropy Measure ◽  
Pearson Correlation Coefficient ◽  
Similarity Learning ◽  
Entropy Measures ◽  
A New Technique ◽  
Effective Models

A new technique for feature withdrawal by neural response is going to be familiarized in this research work by merging an entropy measure with Squared Pearson correlation Coefficient (SPCC) method. The process of choosing effective models on the basis of entropy measures was proposed further to enhance the ability to select templates. For more accurate similarity measure we used the statistical significant relationship between functions. The research illustrate that the proposed method is proficiently compared with the state-of-the-art methods.

scholarly journals Properties of Entropy-Based Topological Measures of Fullerenes

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 740 ◽  
Author(s):  
Modjtaba Ghorbani ◽  
Matthias Dehmer ◽  
Frank Emmert-Streib
Keyword(s):  
Present Article ◽  
Connected Graph ◽  
Entropy Measure ◽  
Topological Information ◽  
Information Theoretic ◽  
Relational Structures ◽  
Chemical Structures ◽  
Topological Measures ◽  
Information Theoretic Measures ◽  
Fullerene Graphs

A fullerene is a cubic three-connected graph whose faces are entirely composed of pentagons and hexagons. Entropy applied to graphs is one of the significant approaches to measuring the complexity of relational structures. Recently, the research on complex networks has received great attention, because many complex systems can be modelled as networks consisting of components as well as relations among these components. Information—theoretic measures have been used to analyze chemical structures possessing bond types and hetero-atoms. In the present article, we reviewed various entropy-based measures on fullerene graphs. In particular, we surveyed results on the topological information content of a graph, namely the orbit-entropy Ia(G), the symmetry index, a degree-based entropy measure Iλ(G), the eccentric-entropy Ifσ(G) and the Hosoya entropy H(G).

scholarly journals Improved Cross Entropy Measures of Single Valued Neutrosophic Sets and Interval Neutrosophic Sets and Their Multicriteria Decision Making Methods

2015 ◽  
Vol 15 (4) ◽  
pp. 13-26 ◽  
Author(s):  
Jun Ye
Keyword(s):  
Decision Making ◽  
Multicriteria Decision Making ◽  
Cross Entropy ◽  
Entropy Measure ◽  
Neutrosophic Sets ◽  
Multicriteria Decision ◽  
Entropy Measures ◽  
The Cross ◽  
Ranking Order ◽  
Interval Neutrosophic Sets

Abstract Due to some drawbacks of the cross entropy between Single Valued Neutrosophic Sets (SVNSs) in dealing with decision-making problems, the existing single valued neutrosophic cross entropy indicates an asymmetrical phenomenon or may produce an undefined (unmeaningful) phenomenon in some situations. In order to overcome these disadvantages, this paper proposes an improved cross entropy measure of SVNSs and investigates its properties, and then extends it to a cross entropy measure between interval neutrosophic sets (INSs). Furthermore, the cross entropy measures are applied to multicriteria decision making problems with single valued neutrosophic information and interval neutrosophic information. In decision making methods, through the weighted cross entropy measure between each alternative and the the ideal alternative, one can obtain the ranking order of all alternatives and the best one. The decision-making methods using the proposed cross entropy measures can efficiently deal with decision making problems with incomplete, indeterminate and inconsistent information which exist usually in real situations. Finally, two illustrative examples are provided to demonstrate the application and efficiency of the developed decision making approaches under single valued neutrosophic and interval neutrosophic environments.

scholarly journals Generalized Distance-Based Entropy and Dimension Root Entropy for Simplified Neutrosophic Sets

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 844 ◽  
Author(s):  
Wen-Hua Cui ◽  
Jun Ye
Keyword(s):  
Decision Making ◽  
Entropy Measure ◽  
Entropy Theory ◽  
Neutrosophic Sets ◽  
Numerical Example ◽  
Entropy Measures ◽  
Interval Valued ◽  
Generalized Distance

In order to quantify the fuzziness in the simplified neutrosophic setting, this paper proposes a generalized distance-based entropy measure and a dimension root entropy measure of simplified neutrosophic sets (NSs) (containing interval-valued and single-valued NSs) and verifies their properties. Then, comparison with the existing relative interval-valued NS entropy measures through a numerical example is carried out to demonstrate the feasibility and rationality of the presented generalized distance-based entropy and dimension root entropy measures of simplified NSs. Lastly, a decision-making example is presented to illustrate their applicability, and then the decision results indicate that the presented entropy measures are effective and reasonable. Hence, this study enriches the simplified neutrosophic entropy theory and measure approaches.

scholarly journals An Entropy-Based Approach for Anomaly Detection in Activities of Daily Living in the Presence of a Visitor

Entropy ◽  
2020 ◽  
Vol 22 (8) ◽  
pp. 845 ◽  
Author(s):  
Aadel Howedi ◽  
Ahmad Lotfi ◽  
Amir Pourabdollah
Keyword(s):  
Anomaly Detection ◽  
Activities Of Daily Living ◽  
Home Environment ◽  
Health Care Workers ◽  
Daily Living ◽  
Healthcare Management ◽  
Entropy Measure ◽  
Care Workers ◽  
Entropy Measures ◽  
Measure Analysis

This paper presents anomaly detection in activities of daily living based on entropy measures. It is shown that the proposed approach will identify anomalies when there are visitors representing a multi-occupant environment. Residents often receive visits from family members or health care workers. Therefore, the residents’ activity is expected to be different when there is a visitor, which could be considered as an abnormal activity pattern. Identifying anomalies is essential for healthcare management, as this will enable action to avoid prospective problems early and to improve and support residents’ ability to live safely and independently in their own homes. Entropy measure analysis is an established method to detect disorder or irregularities in many applications: however, this has rarely been applied in the context of activities of daily living. An experimental evaluation is conducted to detect anomalies obtained from a real home environment. Experimental results are presented to demonstrate the effectiveness of the entropy measures employed in detecting anomalies in the resident’s activity and identifying visiting times in the same environment.

Optimal Sensor and Actuator Configuration for Structural Identification

2001 ◽  
Author(s):  
C. Papadimitriou ◽  
K. Christodoulou ◽  
M. Pavlidou ◽  
S. A. Karamanos
Keyword(s):  
Information Entropy ◽  
Structural Model ◽  
Model Updating ◽  
Cost Effective ◽  
Entropy Measure ◽  
Parameter Estimates ◽  
Discrete Optimization Problem ◽  
Damage Scenarios ◽  
The One ◽  
Theoretical Developments

Abstract A methodology is presented for designing cost-effective optimal sensor and actuator configurations useful for structural model updating and health monitoring purposes. The optimal sensor and actuator configuration is selected such that the resulting measured data are most informative about the condition of the structure. This selection is based on an information entropy measure of the uncertainty in the model parameter estimates obtained using a statistical system identification methodology. The optimal sensor and actuator configuration is selected as the one that minimizes the information entropy. A discrete optimization problem arises which is solved efficiently using genetic algorithms. This study also addresses important issues related to robustness of the optimal sensor and actuator configuration to unavoidable uncertainties in the structural model, as well as issues related to the optimal sensor and actuator configurations designed to monitor multiple damage scenarios. The theoretical developments are illustrated by designing the optimal configuration for a 40-DOF two-dimensional truss structure subjected to an impulse hammer excitation.

A note on information entropy measures for vague sets and its applications

2008 ◽  
Vol 178 (21) ◽  
pp. 4184-4191 ◽  
Author(s):  
Qian-Sheng Zhang ◽  
Sheng-Yi Jiang
Keyword(s):  
Information Entropy ◽  
Vague Sets ◽  
Entropy Measures

scholarly journals Use of information entropy measures of sitting postural sway to quantify developmental delay in infants

2009 ◽  
Vol 6 (1) ◽  
pp. 34 ◽  
Author(s):  
Joan E Deffeyes ◽  
Regina T Harbourne ◽  
Stacey L DeJong ◽  
Anastasia Kyvelidou ◽  
Wayne A Stuberg ◽  
...  
Keyword(s):  
Developmental Delay ◽  
Information Entropy ◽  
Postural Sway ◽  
Entropy Measures
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