The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

Szmidt, Eulalia; Kacprzyk, Janusz

doi:10.2991/eusflat.2011.85

Cited by 31 publications

(22 citation statements)

References 27 publications

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“…(For example T= number of pairs for which x i =x j and U= number of pairs for which y i =y j ) SCCT presenting by formula (41) will be applied if each of two compared model has no same ranks. Whereas, formula (42) utilized if one of the compared model has same ranks (Szmidt and Kacprzyk 2011;Raju et al 2000;Raju and Pillai 1999).…”

Section: Non-parametric Correlation Tests and Aggregation Methods To mentioning

confidence: 99%

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Comparison of Different Multi Criteria Decision-Making Models in Prioritizing Flood Management Alternatives

Chitsaz

Banihabib

2015

Water Resour Manage

138

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Recent increases in life loss, destruction and property damages caused by flood at global scale, have inevitably highlighted the pivotal considerations of sustainable development through flood risk management. Throughout the paper, a practical framework to prioritize the flood risk management alternatives for Gorganrood River in Iran was applied. Comparison between multi criteria decision making (MCDM) models with different computational mechanisms provided an opportunity to obtain the most conclusive model. Non-parametric stochastic tests, aggregation models and sensitivity analysis were employed to investigate the most suitable ranking model for the case study. The outcomes of these mentioned tools illustrated that ELimination and Et Choice Translating Reality (ELECTRE III), a non-compensatory model, stood superior to the others. Moreover, Eigen-vector's performance for assigning weights to the criteria was proved by the application of Kendall Tau Correlation Coefficient Test. From the technical point of view, the highest priority among the criteria belonged to a social criteria named Expected Average Number of Casualties per year. Furthermore, an alternative with pre and post disaster effectiveness was determined as the top-rank measure. This alternative constituted flood insurance plus flood warning system. The present research illustrated that ELECTRE III could deal with the complexity of flood management criteria. Hence, this MCDM model would be an effective tool for dealing with complex prioritization issues. Abbreviations MCDMMulti criteria decision making VIKOR VlseKriterijumska optimizacija I Kompromisno Resenje TOPSIS Technique for order preference by similarity to ideal solution ELECTRE I and ELECTRE III Elimination et choice translating reality Water Resour Manage

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Section: Non-parametric Correlation Tests and Aggregation Methods To mentioning

confidence: 99%

“…SCCT and KTCCT are depended on the ranks of the data instead of their values (Athawale and Chakraborty 2011;Szmidt and Kacprzyk 2011). In these methods, a mutual comparison between each two random variable is possible.…”

Section: Non-parametric Correlation Tests and Aggregation Methods To mentioning

confidence: 99%

Comparison of Different Multi Criteria Decision-Making Models in Prioritizing Flood Management Alternatives

Chitsaz

Banihabib

2015

Water Resour Manage

138

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“…With the help of these coefficients, it is possible to estimate the proximity of one ranking series to another, taken as a standard, in the interval from +1 to -1 [11]. The generalized performance score obtained on the basis of two correlation estimates is determined by the following formula:…”

Section: Methodsmentioning

confidence: 99%

Standards as a tool for quality management in the pipe market

Огородникова

Creciun²,

Kokovikhin

et al. 2018

MATEC Web Conf.

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Abstract. In the production of large diameter pipes, quality standards are a new tool of struggle in the international market. Management systems that meet the requirements of international standards, for enterprises act as a tool that, in the process of interacting with the external environment, is able to adapt and adequately rebuild the activities of the enterprise. The purpose of the article is to analyze the application of standards in pipe plants as a tool for quality management.

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“…The non-parametric Spearman correlation coefficient test (SCCT) and Kendall Tau correlation coefficient test (KTCCT) were used to compare the ranks of the observed values of two independent variables within the models instead of comparing their values [65,66] to determine whether the variables are statistically dependent. A reciprocal comparison is made between each random pair of variables.…”

Section: Non-parametric Correlation Tests To Comparing Models Rankingmentioning

confidence: 99%

Morphometric Analysis for Soil Erosion Susceptibility Mapping Using Novel GIS-Based Ensemble Model

et al. 2020

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The morphometric characteristics of the Kalvārī basin were analyzed to prioritize sub-basins based on their susceptibility to erosion by water using a remote sensing-based data and a GIS. The morphometric parameters (MPs)—linear, relief, and shape—of the drainage network were calculated using data from the Advanced Land-observing Satellite (ALOS) phased-array L-type synthetic-aperture radar (PALSAR) digital elevation model (DEM) with a spatial resolution of 12.5 m. Interferometric synthetic aperture radar (InSAR) was used to generate the DEM. These parameters revealed the network’s texture, morpho-tectonics, geometry, and relief characteristics. A complex proportional assessment of alternatives (COPRAS)-analytical hierarchy process (AHP) novel-ensemble multiple-criteria decision-making (MCDM) model was used to rank sub-basins and to identify the major MPs that significantly influence erosion landforms of the Kalvārī drainage basin. The results show that in evolutionary terms this is a youthful landscape. Rejuvenation has influenced the erosional development of the basin, but lithology and relief, structure, and tectonics have determined the drainage patterns of the catchment. Results of the AHP model indicate that slope and drainage density influence erosion in the study area. The COPRAS-AHP ensemble model results reveal that sub-basin 1 is the most susceptible to soil erosion (SE) and that sub-basin 5 is least susceptible. The ensemble model was compared to the two individual models using the Spearman correlation coefficient test (SCCT) and the Kendall Tau correlation coefficient test (KTCCT). To evaluate the prediction accuracy of the ensemble model, its results were compared to results generated by the modified Pacific Southwest Inter-Agency Committee (MPSIAC) model in each sub-basin. Based on SCCT and KTCCT, the ensemble model was better at ranking sub-basins than the MPSIAC model, which indicated that sub-basins 1 and 4, with mean sediment yields of 943.7 and 456.3 m 3 km − 2 year − 1 , respectively, have the highest and lowest SE susceptibility in the study area. The sensitivity analysis revealed that the most sensitive parameters of the MPSIAC model are slope (R2 = 0.96), followed by runoff (R2 = 0.95). The MPSIAC shows that the ensemble model has a high prediction accuracy. The method tested here has been shown to be an effective tool to improve sustainable soil management.

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The Spearman and Kendall rank correlation coefficients between intuitionistic fuzzy sets

Cited by 31 publications

References 27 publications

Comparison of Different Multi Criteria Decision-Making Models in Prioritizing Flood Management Alternatives

Comparison of Different Multi Criteria Decision-Making Models in Prioritizing Flood Management Alternatives

Standards as a tool for quality management in the pipe market

Morphometric Analysis for Soil Erosion Susceptibility Mapping Using Novel GIS-Based Ensemble Model

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