Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities
For the past four decades, the methodology of fuzzy analytic hierarchy process based on fuzzy trapezoidal or triangular numbers with the linear type of membership functions has witnessed an expanding development with applicability to a wide variety of areas, such as industry, environment, education,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/4/304 |
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| author | Mimica R. Milošević Dušan M. Milošević Ana D. Stanojević Dragan M. Stević Dušan J. Simjanović |
| author_facet | Mimica R. Milošević Dušan M. Milošević Ana D. Stanojević Dragan M. Stević Dušan J. Simjanović |
| author_sort | Mimica R. Milošević |
| collection | DOAJ |
| description | For the past four decades, the methodology of fuzzy analytic hierarchy process based on fuzzy trapezoidal or triangular numbers with the linear type of membership functions has witnessed an expanding development with applicability to a wide variety of areas, such as industry, environment, education, government, economics, engineering, health, and smart city leadership. On the other hand, the interval gray analytic hierarchy process is a more practical method when a significant number of professionals have large variations in preferences and interests in complex decisions. The paper examines the management of architectural heritage in smart cities, using methods of multi-criteria decision making. Two appropriate methods generally recommended by the scientific literature have been applied: fuzzy and interval grey analytic hierarchy process. By using both techniques, there is an opportunity to analyze the consensual results from the aspect of two different stakeholder groups: architectural heritage experts and smart city development experts. Trapezoidal fuzzy analytical hierarchical process shows better stability than a triangular one. Both approaches assign priority to the strategy, but the interval approach gives a more significant rank to architectural heritage factors. The similarity of the proposed methods has been tested, and the similarity factor in the ranking indicates a high degree of similarity in comparing the reference rankings. |
| first_indexed | 2024-03-09T05:47:26Z |
| format | Article |
| id | doaj.art-ba12b5c03b974555a7fbee658318b9e2 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T05:47:26Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ba12b5c03b974555a7fbee658318b9e22023-12-03T12:20:32ZengMDPI AGMathematics2227-73902021-02-019430410.3390/math9040304Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart CitiesMimica R. Milošević0Dušan M. Milošević1Ana D. Stanojević2Dragan M. Stević3Dušan J. Simjanović4Faculty of Business Economics and Enterpreneurship, Mitropolita Petra 8, 11000 Belgrade, SerbiaDepartment of Mathematics, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, SerbiaDepartment of Public Buildings Design, Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, SerbiaDepartment of Construction Management, Faculty of Technical Science, University of Priština, Knjaza Miloša 7, 38220 Kosovska Mitrovica, SerbiaFaculty of Information Technology, Metropolitan University, Tadeuša Košćuška 63, 11158 Belgrade, SerbiaFor the past four decades, the methodology of fuzzy analytic hierarchy process based on fuzzy trapezoidal or triangular numbers with the linear type of membership functions has witnessed an expanding development with applicability to a wide variety of areas, such as industry, environment, education, government, economics, engineering, health, and smart city leadership. On the other hand, the interval gray analytic hierarchy process is a more practical method when a significant number of professionals have large variations in preferences and interests in complex decisions. The paper examines the management of architectural heritage in smart cities, using methods of multi-criteria decision making. Two appropriate methods generally recommended by the scientific literature have been applied: fuzzy and interval grey analytic hierarchy process. By using both techniques, there is an opportunity to analyze the consensual results from the aspect of two different stakeholder groups: architectural heritage experts and smart city development experts. Trapezoidal fuzzy analytical hierarchical process shows better stability than a triangular one. Both approaches assign priority to the strategy, but the interval approach gives a more significant rank to architectural heritage factors. The similarity of the proposed methods has been tested, and the similarity factor in the ranking indicates a high degree of similarity in comparing the reference rankings.https://www.mdpi.com/2227-7390/9/4/304MCDMfuzzy analytic hierarchy processinterval grey analytic hierarchy processarchitectural heritagesmart citiessustainable management |
| spellingShingle | Mimica R. Milošević Dušan M. Milošević Ana D. Stanojević Dragan M. Stević Dušan J. Simjanović Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities Mathematics MCDM fuzzy analytic hierarchy process interval grey analytic hierarchy process architectural heritage smart cities sustainable management |
| title | Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities |
| title_full | Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities |
| title_fullStr | Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities |
| title_full_unstemmed | Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities |
| title_short | Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities |
| title_sort | fuzzy and interval ahp approaches in sustainable management for the architectural heritage in smart cities |
| topic | MCDM fuzzy analytic hierarchy process interval grey analytic hierarchy process architectural heritage smart cities sustainable management |
| url | https://www.mdpi.com/2227-7390/9/4/304 |
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