Evaluation of theater activity using Hellwig’s method

Gałecka, Małgorzata; Smolny, Katarzyna

doi:10.15290/oes.2018.02.92.04

Cited by 7 publications

(4 citation statements)

References 10 publications

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“…Hellwig's method has been extended to address different problems with crisp data [10] and incorporates fuzzy sets [10], intuitionistic fuzzy sets [37][38][39][40], interval-valued fuzzy sets [41], and oriented fuzzy sets [42]. This method has been applied in various practical contexts, including the circular economy [43], quality of human capital in the EU countries [44], socio-economic region development [45][46][47][48], sustainable development [49,50], quality of life [38,39,42], evaluation negotiation offers [40,42], analysis agriculture development [51][52][53][54], competitive balance of the Italian Football League [55], innovation in UE countries [56], evaluation of theater activity in Poland [57], and selection of locations [58], among others.…”

Section: The Hellwig's Framework-a Short Literature Reviewmentioning

confidence: 99%

Modifying Hellwig’s Method for Multi-Criteria Decision-Making with Mahalanobis Distance for Addressing Asymmetrical Relationships

Roszkowska

2024

Symmetry

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Hellwig’s method is a multi-criteria decision-making technique designed to facilitate the ranking of alternatives based on their proximity to the ideal solution. Typically, this approach calculates distances using the Euclidean norm, assuming implicitly that the considered criteria are independent. However, in real-world situations, the assumption of criteria independence is rarely met. The paper aims to propose an extension of Hellwig’s method by incorporating the Mahalanobis distance. Substituting the Euclidean distance with the Mahalanobis distance has proven to be effective in handling correlations among criteria, especially in the context of asymmetrical relationships between criteria. Subsequently, we investigate the impact of the Euclidean and Mahalanobis distance measures on the several variants of Hellwig procedures, analyzing examples based on various illustrative data with 10 alternatives and 4 criteria. Additionally, we examine the influence of three normalization formulas in Hellwig’s aggregation procedures. The investigation results indicate that both the distance measure and normalization formulas have some impact on the final rankings. The evaluation and ranking of alternatives using the Euclidean distance measure are influenced by the normalization formula, albeit to a limited extent. In contrast, the Mahalanobis distance-based Hellwig’s method remains unaffected by the choice of normalization formulas. The study concludes that the ranking of alternatives is strongly dependent on the distance measure employed, whether it is Euclidean or Mahalanobis. The Mahalanobis distance-based Hellwig method is deemed a valuable tool for decision-makers in real-life situations. It enables the evaluation of alternatives by considering interactions between criteria, providing a more comprehensive perspective for decision-making.

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Section: The Hellwig's Framework-a Short Literature Reviewmentioning

confidence: 99%

Modifying Hellwig’s Method for Multi-Criteria Decision-Making with Mahalanobis Distance for Addressing Asymmetrical Relationships

Roszkowska

2024

Symmetry

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“…The evaluation of model inputs (explanatory variables) requires the determination of several evaluation criteria in the context of obtaining a satisfactory final result. One of them is the selection of variables for the model that is highly correlated with the explanatory variable and weakly correlated with each other (Gałecka & Smolny, 2018). The correlation analysis allows us to determine how strongly variables are correlated with each other, which helps to establish whether regression is an appropriate method for data analysis.…”

Section: Methodsmentioning

confidence: 99%

Selected determinants of the development of renewable energy sources in the member states of the European Union

Krzysztof Adam Firlej,

Stanuch

2023

EiS

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The objective of this study is to explore the relationship between selected indicators of SDG7, supplemented by the variables of GDP and carbon dioxide emission contract prices, and the consumption of energy from renewable sources in the European Union. The research problem of the study is whether it is possible to explain the consumption of energy from renewable sources in the European Union from 2010 to 2020 within the group of selected indicators for SDG 7 supplemented by GDP variable and variable CO2 emission futures contracts. Based on conducted econometric research, it was proved that there was a certain interdependence and causality of selected factors on the development of renewable energy sources, which varied depending on the EU Member State. By making a critical evaluation of the obtained models, it was found that only in 10 cases (countries) can they be considered correct.

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“…Hellwig's classic algorithm was presented by UNESCO [76] (1972a) as a tool for measuring health development in a group of countries. Over the years, this procedure [72] has been applied in many areas [77][78][79][80][81] and modified for real data [82], fuzzy sets [83,84], intuitionistic fuzzy sets [11,35], interval-valued fuzzy sets [85], and ordered fuzzy sets [86]. It is worth noting that TOPSIS and VIKOR methods were also adapted to the intuitionistic environment (see e.g., [19,87,88] and [89,90], respectively).…”

Section: The Intuitionistic Fuzzy Synthetic Measure With If Entropy-b...mentioning

confidence: 99%

The Impact of the Intuitionistic Fuzzy Entropy-Based Weights on the Results of Subjective Quality of Life Measurement Using Intuitionistic Fuzzy Synthetic Measure

Roszkowska

Filipowicz-Chomko

Kusterka-Jefmańska

et al. 2023

Entropy

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In this paper, an extended Intuitionistic Fuzzy Synthetic Measure (IFSM) with intuitionistic fuzzy (IF) entropy-based weights is presented. This method can be implemented in a ranking problem where the assessments of the criteria are expressed in the form of intuitionistic fuzzy values and the information about the importance criteria is unknown. One example of such a problem is measuring the subjective quality of life in cities. We join the debate on the determination of weights for the analysis of the quality of life problem using multi-criteria methods. To handle this problem, four different IF entropy-based weight methods were applied. Their performances were compared and analyzed based on the questionnaires from the survey concerning the quality of life in European cities. The studies show very similar weighting systems obtained by different IF entropy-based approaches, resulting in almost the same city rankings acquired through IFSM by using those weights. The differences in rankings obtained through the IFSM measure (and only by one position) concern the six cities included in the analysis. Our results support the assumption of the equal importance of the criteria in measuring this complex phenomenon.

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Evaluation of theater activity using Hellwig’s method

Cited by 7 publications

References 10 publications

Modifying Hellwig’s Method for Multi-Criteria Decision-Making with Mahalanobis Distance for Addressing Asymmetrical Relationships

Modifying Hellwig’s Method for Multi-Criteria Decision-Making with Mahalanobis Distance for Addressing Asymmetrical Relationships

Selected determinants of the development of renewable energy sources in the member states of the European Union

The Impact of the Intuitionistic Fuzzy Entropy-Based Weights on the Results of Subjective Quality of Life Measurement Using Intuitionistic Fuzzy Synthetic Measure

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