Item Response Theory Models for the Fuzzy TOPSIS in the Analysis of Survey Data

Jefmański, Bartłomiej; Sagan, Adam

doi:10.3390/sym13020223

Cited by 3 publications

(3 citation statements)

References 27 publications

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“…The second, alternative approach is to use the fuzzy HSM and TOPSIS methods, which does not assume equal distances between the points of the measurement scales. However, the method of determining the parameters of fuzzy numbers is usually subjective, which can affect the reliability of the results obtained by the HSM and TOPSIS methods [20]. The solution may be to combine the HSM and TOPSIS methods with the generalized distance measure for ordinal scales (GDM2), proposed by Walesiak [57], which uses acceptable relations for ordinal scales.…”

Section: Hsm and Topsis Methods Based On Generalised Distance Measurementioning

confidence: 99%

Diversity management in organizations – the measuring of the benefits: Visegrad Group (V4) countries perspective

Gross-Gołacka¹,

Kusterka-Jefmańska²,

Jefmański³

et al. 2022

Proceedings of the Annual Hawaii International Conference on System Sciences

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Popularization of the diversity management concept and its practical implementation at the level of organizations requires becoming organization owners aware of potential benefits. Therefore, the article presents the survey results of the organization representatives on the benefits of implementing the diversity management concept. The analytical part of the article is based on the survey results of 401 representatives of the organizations located in the Visegrad Group countries. The managing diversity concept knowledge and awareness of the resulting benefits were analyzed at the level of the whole group as well as in the cross-section of the member countries. In the analytical part of the article, selected modified multi-criteria decision making methods for ordinal data were used. Adopting the analytical approach also allowed to indicate the most important benefits that, in the opinion of the organization representatives, are the consequence of the diversity management concept implementation.

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Section: Hsm and Topsis Methods Based On Generalised Distance Measurementioning

confidence: 99%

Diversity management in organizations – the measuring of the benefits: Visegrad Group (V4) countries perspective

Gross-Gołacka¹,

Kusterka-Jefmańska²,

Jefmański³

et al. 2022

Proceedings of the Annual Hawaii International Conference on System Sciences

Self Cite

View full text Add to dashboard Cite

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“…where the standardized ability θ * is standard normally distributed (i.e., N(0, 1)). From Equation (8), it follows that:…”

Section: Identified Item Parameters In Separate Calibrations In the Two Groupsmentioning

confidence: 99%

“…The analysis of educational and psychological tests is an important field in the social sciences. The test items (i.e., tasks presented in these tests) are often modeled using item response theory (IRT; [1][2][3]; for applications, see, e.g., [4][5][6][7][8][9][10][11][12][13][14]) models. In this article, the two-parameter logistic (2PL; [15]) IRT model is investigated to compare two groups on test items.…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Linking Methods for Two Groups for the Two-Parameter Logistic Item Response Model in the Presence and Absence of Random Differential Item Functioning

Robitzsch

2021

Foundations

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This article investigates the comparison of two groups based on the two-parameter logistic item response model. It is assumed that there is random differential item functioning in item difficulties and item discriminations. The group difference is estimated using separate calibration with subsequent linking, as well as concurrent calibration. The following linking methods are compared: mean-mean linking, log-mean-mean linking, invariance alignment, Haberman linking, asymmetric and symmetric Haebara linking, different recalibration linking methods, anchored item parameters, and concurrent calibration. It is analytically shown that log-mean-mean linking and mean-mean linking provide consistent estimates if random DIF effects have zero means. The performance of the linking methods was evaluated through a simulation study. It turned out that (log-)mean-mean and Haberman linking performed best, followed by symmetric Haebara linking and a newly proposed recalibration linking method. Interestingly, linking methods frequently found in applications (i.e., asymmetric Haebara linking, recalibration linking used in a variant in current large-scale assessment studies, anchored item parameters, concurrent calibration) perform worse in the presence of random differential item functioning. In line with the previous literature, differences between linking methods turned out be negligible in the absence of random differential item functioning. The different linking methods were also applied in an empirical example that performed a linking of PISA 2006 to PISA 2009 for Austrian students. This application showed that estimated trends in the means and standard deviations depended on the chosen linking method and the employed item response model.

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Smart Cities and Resident Well-Being: Using the BTOPSIS Method to Assess Citizen Life Satisfaction in European Cities

Roszkowska,

Wachowicz

2024

Applied Sciences

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With rapid urbanization, maintaining a high quality of life (QoL) for city residents has become a critical challenge for policy-makers and urban planners. Smart cities, leveraging advanced technologies and data analytics, present a promising pathway to enhance urban services and promote sustainability. This paper introduces an innovative adaptation of the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method, integrating a Belief Structure (BTOPSIS) to improve the evaluation and interpretation of survey data. Our approach effectively addresses the distribution of responses across categories and the uncertainty often present in such data, including missing or ambiguous answers. Additionally, we perform a sensitivity analysis to assess the stability of the BTOPSIS rankings under varying utility function parameters, further validating the robustness of our method. We apply this framework to the 2023 ‘Quality of Life in European Cities’ survey, analyzing diverse urban factors such as public transport, healthcare, cultural facilities, green spaces, education, air quality, noise levels, and cleanliness. Additionally, our study offers a comparative analysis of BTOPSIS against other multi-criteria methods used for evaluation data from this report, showcasing its strengths and limitations in addressing the dataset’s complexity. Our findings reveal significant variations in residents’ perceived QoL across European cities, both between cities and within countries. Zurich and Groningen rank highest in satisfaction, while Tirana, Skopje, and Palermo are ranked lowest. Notably, residents of cities with populations under 500,000 report higher satisfaction levels than those in larger cities, and satisfaction levels are generally higher in EU and EFTA cities compared to those in the Western Balkans, with the highest satisfaction observed in northern and western Member States. To aid urban planners and policy-makers, we propose a ranking tool using the BTOPSIS method, capturing nuanced resident perceptions of living conditions across cities. These insights provide valuable guidance for strategic urban development and advancing the smart city agenda across Europe.

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Item Response Theory Models for the Fuzzy TOPSIS in the Analysis of Survey Data

Cited by 3 publications

References 27 publications

Diversity management in organizations – the measuring of the benefits: Visegrad Group (V4) countries perspective

Diversity management in organizations – the measuring of the benefits: Visegrad Group (V4) countries perspective

A Comparison of Linking Methods for Two Groups for the Two-Parameter Logistic Item Response Model in the Presence and Absence of Random Differential Item Functioning

Smart Cities and Resident Well-Being: Using the BTOPSIS Method to Assess Citizen Life Satisfaction in European Cities

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