Sorption-Analytic, Microcalorimetric and Study of Ion-Exchange Equilibria Involving Mg and Ca Cations on Clinoptilolite by Yuri I. Tarasevich, Valeri E. Polyakov, Dmytro O. Krysenko, Eugene V. Aksenenko

“…Using the experimental values of the ion-exchange constants (free energies) and heats (enthalpies), reliable estimates of the entropy were obtained for the direct (Mg 2+ -Ca 2+ -Cli) and inverse ion-exchange reactions. …”
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Research on the Complexity and Chaos Control about a Closed-Loop Supply Chain with Dual-Channel Recycling and Uncertain Consumer Perception by Junhai Ma, Hao Ren, Miao Yu, Meihong Zhu

“…We carry on theoretical analysis of this model and perform numerical simulations from the perspective of entropy theory. Results show that a precipitous speed of recycling price adjustment of the manufacturer or the third-party will both lead the system into a chaotic state and cause the entropy of the system to increase. …”
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Presenting a method to reduce the sensitivity of incremental clustering algorithms of XML documents based on collective intelligence algorithms by Mohammad Nazari Farokhi, Ebrahim Nazari Farokhi, Ali Norouzbakhsh

“…In this research, our proposed method was compared with XCLS and XCLS+ methods in three evaluation criteria: Entropy, Purity and Fscore. The results showed that the proposed method is preferable to the XCLS and XCLS+ methods in terms of Entropy, Purity and Fscore, and it is slightly less efficient than the XCLS+ method only in the Fscore criterion.…”
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Multicriteria Model for Shared Parking and Parking Route Recommender Systems by Pengfei Zhao, Lingxiang Wei, Dong Pan, Shuai Dong

“…Furthermore, an analytic hierarchy process Entropy-TOPSIS grey relational analysis (AHP-Entropy-TOPSIS-GRA) method and an improved ant colony algorithm were proposed to solve the proposed allocation of parking spaces and recommend optimal parking routes, respectively. …”
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Application of KTA-KELM in Fault Diagnosis of Rolling Bearing by Zhuo Wang, Wenjun Zhao, Tao Ma, Zhijun Li, Bo Qin

“…Firstly，the rolling bearing vibration signal is decomposed by Ensemble Local Mean Decomposition（ELMD）and its energy entropy and permutation entropy are calculated to construct a high-dimensional eigenvector set. …”
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T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ deformations from AdS2 to dS2 by Sergio E. Aguilar-Gutierrez, Andrew Svesko, Manus R. Visser

“…We explore two distinct ways to achieve this: either through so-called centaur geometries that interpolate between AdS2 and dS2, or by a spherical dimensional reduction of T T ¯ $$ \textrm{T}\overline{\textrm{T}} $$ + Λ2 theories that were proposed to give a microscopic interpretation of three-dimensional de Sitter entropy. We derive the microscopic energy spectrum, heat capacities, and deformed Cardy expressions for the thermodynamic entropy in the canonical and microcanonical ensembles for these two setups. …”
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Sufficient statistics for the Pareto distribution parameter by I. S. Pulkin, A. V. Tatarintsev

“…For the product of the sample elements considered as a random variable the distribution function and probability density are found; mathematical expectation, higher moments, and differential entropy are calculated. The corresponding graphs are built. …”
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Hybrid TODIM Method with Crisp Number and Probability Linguistic Term Set for Urban Epidemic Situation Evaluation by Wenshuai Wu, Zeshui Xu

“…In addition, the concept of entropy and probability linguistic entropy is applied to induce hybrid criteria weight information. …”
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Evaluation Method of Regional Water Resources Carrying Capacity Based on Connection Number by DONG Tao

“…,carrying ability system,carrying pressure system and regulation ability system),calculates the subjective weights of evaluation indexes by correcting analytic hierarchy process based on accelerating genetic algorithm (AGA-CAHP),the objective weights of evaluation indexes by projection pursuit based on accelerating genetic algorithm (AGA-PP) and the combined weights of evaluation indexes by the principle of minimum relative information entropy,obtains the connection number of regional water resources carrying capacity by improved set pair analysis based on grey correlation analysis,and then establishes a set pair analysis evaluation model for regional water resources carrying capacity based on entropy principles,combined weights and grey correlation analysis,and finally applies the model in Anhui Province.The results show that the water resources carrying capacity of Anhui Province was in the critical overload from 2005 to 2015,while that was gradually increasing from 2012 to 2015,with the southern region stronger than the northern region.The evaluation results accorded with the actual situation.Therefore,the model can fully integrate the subjective experience information and objective information in the evaluation process,with reasonable results.It has great application value in the comprehensive evaluation of regional resources and environmental carrying capacity.…”
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Rolling bearing fault diagnosis based on parameter optimized VMD and improved GoogLeNet by LI Haoran, LIU Deping

“…A rolling bearing fault diagnosis method based on parameter-optimized variational mode decomposition (VMD) noise reduction and GoogLeNet network with improved attention mechanism was proposed.MethodsThe local minimal envelope entropy was used as the fitness function, and the sparrow search algorithm (SSA) was used to optimize the VMD parameter combination; the optimized VMD algorithm was used to decompose the bearing vibration signals to obtain several modal components, and the signals were reconstructed by filtering the modal components with rich fault features according to the envelope entropy and kurtosis; the reconstructed signals were used to construct the feature matrix and input into the improved GoogLeNet network to complete the diagnosis.ResultsThe test results show that the diagnostic accuracy of the method is 95.5% to 99.8% under different noise backgrounds, which is better than other methods in terms of noise robustness.…”
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Quantifying Contributions of External Drivers to the Global Ionospheric State by Xing Meng, Olga P. Verkhoglyadova

“…By computing normalized transfer entropy on 18 years of GIM TEC, F10.7, solar wind, and lower atmospheric data, we obtain the predictive information transfer from the present drivers to the global ionospheric state at various future times. …”
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On Computation and Analysis of Topological Index-Based Invariants for Complex Coronoid Systems by Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Mohammed K. A. Kaabar

“…The prestigious feature of entropy is that it entitles the amount of uncertainty in a system. …”
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Phase transitions from heating to non-heating in $SU(1,1)$ quantum dynamics: Applications to Bose-Einstein condensates and periodically driven coupled oscillators by Heng-Hsi Li, Po-Yao Chang

“…Similarly, the entanglement entropy and negativity also exhibit distinct behaviors (linearly, oscillatory, and logarithmic growths) characterizing these phases, respectively. …”
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Research on Wood Defects Feature Imbalance Optimization and Recognition by Xiao Wang

“…Results show that Modified Cross Entropy makes model more sensitive to hard samples regardless of the batchsize. …”
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Application of RSSD-OCYCBD Strategy in Enhanced Fault Detection of Rolling Bearing by Xiaolong Wang, Guiji Tang, Yuling He

“…In addition, a new morphological difference operation entropy (MDOE) indicator, which takes advantage of morphological transformation and Shannon entropy, is developed for confirming the influencing parameters of cyclostationary blind deconvolution (CYCBD). …”
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Multistep Wind Speed Prediction Based on the Fractional-Order Longicorn Swarm Algorithm and the Two-Stage Modal Decomposition Strategy by Shuren Pu, Yuanchen Gao, Yifeng Sun, Chang Liu, Siyu He, Fengjiao Wu, Delan Zhu, Bin Wang

“…ESMD is used to decompose the original wind speed time series. The diversity entropy is introduced as the criterion, and the FO-BSO-VMD secondary decomposition is applied for the high-entropy modal components to further weaken the volatility of wind speed. …”
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Image Denoising of Adaptive Fractional Operator Based on Atangana–Baleanu Derivatives by Xiaoran Lin, Yachao Wang, Guohao Wu, Jing Hao

“…Edge intensity, global entropy, local entropy, and local variance weights are used to construct an adaptive order function that can adapt to changes in different regions of an image. …”
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Analysis of scattered supernatant patterns in Tehran urban complex Emphasizing on the approaches of the urban management system by Sogand Yousefi azarabarghani, Hamid Majedi, Zahra Sadat Saeideh Zarabadi

“…In this regard, physical continuity in Tehran urban complex through Shannon entropy model, functional continuity through network analysis model (investigation of habitat and flow points and distribution and land use composition) and poor urban slope growth using Helder model The measurement is located. …”
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Invariant Measures Based on the U-Correlation Integral: An Application to the Study of Human Voice by Juan F. Restrepo, Gastón Schlotthauer

“…Nonlinear measures such as the correlation dimension, the correlation entropy, and the noise level were used in this article to characterize normal and pathological voices. …”
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Application of Improved Fisher Optimal Segmentation Method Based on Combined Weight Method in Reservoir Flood Season Staging by XIA Qingqing, LI Yinghai, LIU Fen, LAO Jiapeng, TIAN Lijuan

“…In Fisher optimal segmentation method,multi-index weighting only considers a single objective weighting method.To overcome the shortcoming,this paper introduces the entropy weight method based on information theory,the coefficient of variation method based on statistical principle,and the CRITIC weighting method in the calculation of index weight.It proposes the Fisher optimal segmentation method based on combined weight.Taking Shuibuya Reservoir as an example,five indicators are selected,including the average flow in ten days,the number of occurrences of the maximum peak flood flow,the maximum one-day flood volume in ten days,the maximum three-day flood volume in ten days,and the maximum seven-day flood volume in ten days.Then the Fisher optimal segmentation method is applied to divide the flood season,and the staging results are compared with the staging results by a single objective weighting method.It is determined that the flood season is divided into three optimal periods.The pre-flood season is from May 1 to June 10,the main flood season from June 11 to July 31,and the post-flood season from August 1 to September 30.The results show that the combined weight method takes into account the advantages of the entropy weight method,the coefficient of variation method,and the CRITIC weighting method.The method can intuitively distinguish the influence degree of different indexes on flood season staging and is suitable for determining multi-index weight in the Fisher optimal segmentation method.…”
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