METHOD OF SOLVING GROUP DECISION PROBLEMS BY THE ARITHMETIC MEAN AND THE MEAN DEVIATION

The group decision-making problem is studied, in which the experts provide their preference information by different formats, i.e., multiplicative preference relations and fuzzy preference relations. The net flow scores of fuzzy preference relations and multiplicative preference relations are introduced. The mean deviation method is developed to determine the relative weights of individual different preference relations objectively and then select the most desirable alternative(s) according to the aggregated net flow scores. The method does not need to transform the experts' preference relations into the same format and also does not produce any loss of information. Finally, the proposed method is tested and examined with three examples and proved to be simple, effective and practical.

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DFT Benchmark Study of the O--O Bond Dissociation Energy in Peroxides Validated with High-Level Ab-Initio Calculations

10.26434/chemrxiv.8217221.v1 ◽

2019 ◽

Author(s):

Danilo Carmona ◽

Pablo Jaque ◽

Esteban Vöhringer-Martinez

Keyword(s):

Reference Value ◽

Basis Set ◽

Basis Sets ◽

Mean Deviation ◽

Bond Dissociation ◽

Dissociation Energies ◽

The Mean ◽

Experimental Values ◽

High Level ◽

Almost All

<div><div><div><p>Peroxides play a central role in many chemical and biological pro- cesses such as the Fenton reaction. The relevance of these compounds lies in the low stability of the O–O bond which upon dissociation results in radical species able to initiate various chemical or biological processes. In this work, a set of 64 DFT functional-basis set combinations has been validated in terms of their capability to describe bond dissociation energies (BDE) for the O–O bond in a database of 14 ROOH peroxides for which experimental values ofBDE are available. Moreover, the electronic contributions to the BDE were obtained for four of the peroxides and the anion H2O2− at the CBS limit at CCSD(T) level with Dunning’s basis sets up to triple–ζ quality provid- ing a reference value for the hydrogen peroxide anion as a model. Almost all the functionals considered here yielded mean absolute deviations around 5.0 kcal mol−1. The smallest values were observed for the ωB97 family and the Minnesota M11 functional with a marked basis set dependence. Despite the mean deviation, order relations among BDE experimental values of peroxides were also considered. The ωB97 family was able to reproduce the relations correctly whereas other functionals presented a marked dependence on the chemical nature of the R group. Interestingly, M11 functional did not show a very good agreement with the established order despite its good performance in the mean error. The obtained results support the use of similar validation strategies for proper prediction of BDE or other molecular properties by DF Tmethods in subsequent related studies.</p></div></div></div>

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Der Sommer und Herbst 2003 aus phänologischer Sicht | Summer and autumn 2003 from a phenological point of view

Schweizerische Zeitschrift fur Forstwesen ◽

10.3188/szf.2004.0142 ◽

2004 ◽

Vol 155 (5) ◽

pp. 142-145 ◽

Cited By ~ 2

Author(s):

Claudio Defila

Keyword(s):

Time Series ◽

New Record ◽

Point Of View ◽

Late Spring ◽

Mean Deviation ◽

Leaf Shedding ◽

The Mean ◽

Very High ◽

Selection Of

The record-breaking heatwave of 2003 also had an impact on the vegetation in Switzerland. To examine its influences seven phenological late spring and summer phases were evaluated together with six phases in the autumn from a selection of stations. 30% of the 122 chosen phenological time series in late spring and summer phases set a new record (earliest arrival). The proportion of very early arrivals is very high and the mean deviation from the norm is between 10 and 20 days. The situation was less extreme in autumn, where 20% of the 103 time series chosen set a new record. The majority of the phenological arrivals were found in the class «normal» but the class«very early» is still well represented. The mean precocity lies between five and twenty days. As far as the leaf shedding of the beech is concerned, there was even a slight delay of around six days. The evaluation serves to show that the heatwave of 2003 strongly influenced the phenological events of summer and spring.

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Correlation between fundus autofluorescence and visual function in patients with cone-rod dystrophy

Scientific Reports ◽

10.1038/s41598-021-81597-7 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

Satoru Kanda ◽

Takumi Hara ◽

Ryosuke Fujino ◽

Keiko Azuma ◽

Hirotsugu Soga ◽

...

Keyword(s):

Visual Field ◽

Significant Relationship ◽

Fundus Autofluorescence ◽

Univariate Analysis ◽

Retrospective Chart Review ◽

Mean Deviation ◽

Wide Field ◽

The Mean ◽

The Relationship ◽

Field Imaging

AbstractThis study aimed to investigate the relationship between autofluorescence (AF) signal measured with ultra-wide field imaging and visual functions in patients with cone-rod dystrophy (CORD). A retrospective chart review was performed for CORD patients. We performed the visual field test and fundus autofluorescence (FAF) measurement and visualized retinal structures with optical coherence tomography (OCT) on the same day. Using binarised FAF images, we identified a low FAF area ratio (LFAR: low FAF/30°). Relationships between age and logMAR visual acuity (VA), central retinal thickness (CRT), central choroidal thickness (CCT), mean deviation (MD) value, and LFAR were investigated. Thirty-seven eyes of 21 CORD patients (8 men and 13 women) were enrolled. The mean patient age was 49.8 years. LogMAR VA and MD were 0.52 ± 0.47 and − 17.91 ± 10.59 dB, respectively. There was a significant relationship between logMAR VA and MD (p = 0.001). LogMAR VA significantly correlated with CRT (p = 0.006) but not with other parameters. Conversely, univariate analysis suggested a significant relationship between MD and LFAR (p = 0.001). In the multivariate analysis, LFAR was significantly associated with MD (p = 0.002). In conclusion, it is useful to measure the low FAF area in patients with CORD. The AF measurement reflects the visual field deterioration but not VA in CORD.

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Relationship between mean follow-up intraocular pressure, rates of visual field progression and current target intraocular pressure guidelines

British Journal of Ophthalmology ◽

10.1136/bjophthalmol-2020-317406 ◽

2020 ◽

pp. bjophthalmol-2020-317406

Author(s):

Bruna Melchior ◽

Carlos Gustavo De Moraes ◽

Jayter S Paula ◽

George A Cioffi ◽

Christopher A Girkin ◽

...

Keyword(s):

Intraocular Pressure ◽

Visual Field ◽

Treatment Guidelines ◽

Evaluation Study ◽

Mean Deviation ◽

Racial Groups ◽

Current Guideline ◽

Registration Number ◽

The Mean

AimsTo investigate if eyes presenting intraocular pressure (IOP) within the limits of current guideline-driven target IOP indeed experience slow rates of glaucomatous visual field (VF) progression.MethodsA total of 8598 24-2 VF tests from 603 eyes from the African Descent and Glaucoma Evaluation Study with manifest glaucoma were included. The sample was split into three groups based on baseline VF mean deviation (MD): G1 (better than −5.0 dB), G2 (−5.0 to −10 dB) and G3 (worse than −10 dB). We investigated the relationship between existing target IOP guidelines and rates of MD progression in these groups.ResultsFor stable eyes, the medians and IQR of the mean follow-up IOP were G1=15.0 mmHg (IQR: 13.1 to 17.7), G2=13.2 mmHg (IQR: 11.6 to 14.3) and G3=11.9 mmHg (IQR: 10.1 to 13.8) (p<0.01). When considering the mean follow-up IOP within the limits proposed by current guidelines, the median MD slopes were: −0.20 dB/y (IQR: −0.43 to −0.02) for G1<21 mmHg, −0.19 dB/y (IQR: −0.51 to −0.01) for G2<18 mmHg and −0.15 dB/y (IQR: −0.47 to 0.05) for G3<15 mmHg (p=0.63). There were no significant differences between racial groups.ConclusionIn a sample of patients with manifest glaucoma, despite substantial variability between eyes, adherence to treatment guidelines helped slow the rates of global VF progression at various stages of disease.Trial registration numberclinicaltrials.gov Identifier: NCT00221923.

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Moments of the mean deviation

Biometrika ◽

10.1093/biomet/41.3-4.541 ◽

1954 ◽

Vol 41 (3-4) ◽

pp. 541-542

Author(s):

A. R. KAMAT

Keyword(s):

Mean Deviation ◽

The Mean

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The Bootstrap-Method: Discussion and Proposal for Improvement / Das bootstrap-Verfahren: Diskussion und Verbesserungsvorschlag

Jahrbücher für Nationalökonomie und Statistik ◽

10.1515/jbnst-1998-0112 ◽

1998 ◽

Vol 217 (1) ◽

Author(s):

Hans Schneeberger

Keyword(s):

Bootstrap Method ◽

Law School ◽

Mean Deviation ◽

Alternative Method ◽

Doubling Method ◽

The Mean ◽

The Bootstrap Method

SummaryWith Efron’s law-school example the bootstrap method is compared with an alternative method, called doubling. It is shown, that the mean deviation of the estimator is always smaller for the doubling method.

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Accuracy of Magnetic Resonance Imaging–Directed Frame-Based Stereotaxis

Operative Neurosurgery ◽

10.1227/neu.0b013e3182320bd6 ◽

2011 ◽

Vol 70 (suppl_1) ◽

pp. ons114-ons124 ◽

Cited By ~ 1

Author(s):

Nova B. Thani ◽

Arul Bala ◽

Christopher R. P. Lind

Keyword(s):

Deep Brain Stimulation ◽

Magnetic Resonance ◽

Brain Stimulation ◽

Entry Point ◽

Mean Deviation ◽

Guide Tube ◽

3 Dimensional ◽

The Mean ◽

The Brain ◽

Deep Brain

Abstract BACKGROUND: Accurate placement of a probe to the deep regions of the brain is an important part of neurosurgery. In the modern era, magnetic resonance image (MRI)-based target planning with frame-based stereotaxis is the most common technique. OBJECTIVE: To quantify the inaccuracy in MRI-guided frame-based stereotaxis and to assess the relative contributions of frame movements and MRI distortion. METHODS: The MRI-directed implantable guide-tube technique was used to place carbothane stylettes before implantation of the deep brain stimulation electrodes. The coordinates of target, dural entry point, and other brain landmarks were compared between preoperative and intraoperative MRIs to determine the inaccuracy. RESULTS: The mean 3-dimensional inaccuracy of the stylette at the target was 1.8 mm (95% confidence interval [CI], 1.5-2.1. In deep brain stimulation surgery, the accuracy in the x and y (axial) planes is important; the mean axial inaccuracy was 1.4 mm (95% CI, 1.1-1.8). The maximal mean deviation of the head frame compared with brain over 24.1 ± 1.8 hours was 0.9 mm (95% CI, 0.5-1.1). The mean 3-dimensional inaccuracy of the dural entry point of the stylette was 1.8 mm (95% CI, 1.5-2.1), which is identical to that of the target. CONCLUSION: Stylette positions did deviate from the plan, albeit by 1.4 mm in the axial plane and 1.8 mm in 3-dimensional space. There was no difference between the accuracies at the dura and the target approximately 70 mm deep in the brain, suggesting potential feasibility for accurate planning along the whole trajectory.

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Method for Selecting Storage Enterprises Based on IFHA

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.713-715.1769 ◽

2015 ◽

Vol 713-715 ◽

pp. 1769-1772

Author(s):

Jie Wu ◽

Lei Na Zheng ◽

Tie Jun Pan

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Decision Makers ◽

Decision Problems ◽

Decision Making Process ◽

Final Decision ◽

Multiple Decision Makers ◽

Intuitionistic Fuzzy ◽

Averaging Operator

In order to reflect the decision-making more scientific and democratic, modern decision problems often require the participation of multiple decision makers. In group decision making process,require the use of intuitionistic fuzzy hybrid averaging operator (IFHA) to get the final decision result.

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Validation of a Belgian Prediction Model for Patient Encounters at Football Mass Gatherings

Prehospital and Disaster Medicine ◽

10.1017/s1049023x21000923 ◽

2021 ◽

pp. 1-6

Author(s):

Kris Spaepen ◽

Door Lauwaert ◽

Leonard Kaufman ◽

Winne AP Haenen ◽

Ives Hubloue

Keyword(s):

Pearson Correlation ◽

First Aid ◽

Rank Test ◽

Mean Deviation ◽

Mass Gatherings ◽

Actual Patient ◽

Significant Difference ◽

Correlation Tests ◽

The Mean ◽

Patient Presentation

Abstract Background: To validate the Belgian Plan Risk Manifestations (PRIMA) model, actual patient presentation rates (PPRs) from Belgium’s largest football stadium were compared with predictions provided by existing models and the Belgian PRIMA model. Methods: Actual patient presentations gathered from 41 football games (2010-2019) played at the King Baudouin Stadium (Brussels, Belgium) were compared with predictions by existing models and the PRIMA model. All attendees who sought medical help from in-event health services (IEHS) in the stadium or called 1-1-2 within the closed perimeter around the stadium were included. Data were analyzed by ANOVA, Pearson correlation tests, and Wilcoxon singed-rank test. Results: A total of 1,630,549 people attended the matches, with 626 people needing first aid. Both the PRIMA and the Hartman model over-estimated the number of patient encounters for each occasion. The Arbon model under-estimated patient encounters for 9.75% (95% CI, 0.49-19.01) of the events. When comparing deviations in predictions between the PRIMA model to the other models, there was a significant difference in the mean deviation (Arbon: Z = −5.566, P <.001, r = −.61; Hartman: Z = −4.245, P <.001, r = .47). Conclusion: When comparing the predicted patient encounters, only the Arbon model under-predicted patient presentations, but the Hartman and the PRIMA models consistently over-predicted. Because of continuous over-prediction, the PRIMA model showed significant differences in mean deviation of predicted PPR. The results of this study suggest that the PRIMA model can be used during planning for domestic and international football matches played at the King Baudouin Stadium, but more data and further research are needed.

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