Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data
The paper addresses the problem of complex socio-economic phenomena assessment using questionnaire surveys. The data are represented on an ordinal scale; the object assessments may contain positive, negative, no answers, a “difficult to say” or “no opinion” answers. The general framework for Intuiti...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/12/1636 |
| _version_ | 1797504946160009216 |
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| author | Bartłomiej Jefmański Ewa Roszkowska Marta Kusterka-Jefmańska |
| author_facet | Bartłomiej Jefmański Ewa Roszkowska Marta Kusterka-Jefmańska |
| author_sort | Bartłomiej Jefmański |
| collection | DOAJ |
| description | The paper addresses the problem of complex socio-economic phenomena assessment using questionnaire surveys. The data are represented on an ordinal scale; the object assessments may contain positive, negative, no answers, a “difficult to say” or “no opinion” answers. The general framework for Intuitionistic Fuzzy Synthetic Measure (IFSM) based on distances to the pattern object (ideal solution) is used to analyze the survey data. First, Euclidean and Hamming distances are applied in the procedure. Second, two pattern object constructions are proposed in the procedure: one based on maximum values from the survey data, and the second on maximum intuitionistic values. Third, the method for criteria comparison with the Intuitionistic Fuzzy Synthetic Measure is presented. Finally, a case study solving the problem of rank-ordering of the cities in terms of satisfaction from local public administration obtained using different variants of the proposed method is discussed. Additionally, the comparative analysis results using the Intuitionistic Fuzzy Synthetic Measure and the Intuitionistic Fuzzy TOPSIS (IFT) framework are presented. |
| first_indexed | 2024-03-10T04:11:38Z |
| format | Article |
| id | doaj.art-ed789b6bd6de48878ae8c56e57f1b56a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T04:11:38Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-ed789b6bd6de48878ae8c56e57f1b56a2023-11-23T08:10:57ZengMDPI AGEntropy1099-43002021-12-012312163610.3390/e23121636Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal DataBartłomiej Jefmański0Ewa Roszkowska1Marta Kusterka-Jefmańska2Department of Econometrics and Computer Science, Wroclaw University of Economics and Business, 53-345 Wrocław, PolandFaculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, PolandDepartment of Quality and Environmental Management, Wroclaw University of Economics and Business, 53-345 Wrocław, PolandThe paper addresses the problem of complex socio-economic phenomena assessment using questionnaire surveys. The data are represented on an ordinal scale; the object assessments may contain positive, negative, no answers, a “difficult to say” or “no opinion” answers. The general framework for Intuitionistic Fuzzy Synthetic Measure (IFSM) based on distances to the pattern object (ideal solution) is used to analyze the survey data. First, Euclidean and Hamming distances are applied in the procedure. Second, two pattern object constructions are proposed in the procedure: one based on maximum values from the survey data, and the second on maximum intuitionistic values. Third, the method for criteria comparison with the Intuitionistic Fuzzy Synthetic Measure is presented. Finally, a case study solving the problem of rank-ordering of the cities in terms of satisfaction from local public administration obtained using different variants of the proposed method is discussed. Additionally, the comparative analysis results using the Intuitionistic Fuzzy Synthetic Measure and the Intuitionistic Fuzzy TOPSIS (IFT) framework are presented.https://www.mdpi.com/1099-4300/23/12/1636synthetic measurefuzzy measurementordinal dataintuitionistic fuzzy setuncertainlydecision making |
| spellingShingle | Bartłomiej Jefmański Ewa Roszkowska Marta Kusterka-Jefmańska Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data Entropy synthetic measure fuzzy measurement ordinal data intuitionistic fuzzy set uncertainly decision making |
| title | Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data |
| title_full | Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data |
| title_fullStr | Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data |
| title_full_unstemmed | Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data |
| title_short | Intuitionistic Fuzzy Synthetic Measure on the Basis of Survey Responses and Aggregated Ordinal Data |
| title_sort | intuitionistic fuzzy synthetic measure on the basis of survey responses and aggregated ordinal data |
| topic | synthetic measure fuzzy measurement ordinal data intuitionistic fuzzy set uncertainly decision making |
| url | https://www.mdpi.com/1099-4300/23/12/1636 |
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