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Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities

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  • Mimica R. Milošević

    (Faculty of Business Economics and Enterpreneurship, Mitropolita Petra 8, 11000 Belgrade, Serbia)

  • Dušan M. Milošević

    (Department of Mathematics, Faculty of Electronic Engineering, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia)

  • Ana D. Stanojević

    (Department of Public Buildings Design, Faculty of Civil Engineering and Architecture, University of Niš, Aleksandra Medvedeva 14, 18000 Niš, Serbia)

  • Dragan M. Stević

    (Department of Construction Management, Faculty of Technical Science, University of Priština, Knjaza Miloša 7, 38220 Kosovska Mitrovica, Serbia)

  • Dušan J. Simjanović

    (Faculty of Information Technology, Metropolitan University, Tadeuša Košćuška 63, 11158 Belgrade, Serbia)

Abstract

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.

Suggested Citation

  • Mimica R. Milošević & Dušan M. Milošević & Ana D. Stanojević & Dragan M. Stević & Dušan J. Simjanović, 2021. "Fuzzy and Interval AHP Approaches in Sustainable Management for the Architectural Heritage in Smart Cities," Mathematics, MDPI, vol. 9(4), pages 1-29, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:304-:d:492921
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    as
    1. Wątróbski, Jarosław & Jankowski, Jarosław & Ziemba, Paweł & Karczmarczyk, Artur & Zioło, Magdalena, 2019. "Generalised framework for multi-criteria method selection," Omega, Elsevier, vol. 86(C), pages 107-124.
    2. Rujee Rodcha & Nitin K. Tripathi & Rajendra Prasad Shrestha, 2019. "Comparison of Cash Crop Suitability Assessment Using Parametric, AHP, and FAHP Methods," Land, MDPI, vol. 8(5), pages 1-22, May.
    3. Ali Emrouznejad & Marianna Marra, 2017. "The state of the art development of AHP (1979–2017): a literature review with a social network analysis," International Journal of Production Research, Taylor & Francis Journals, vol. 55(22), pages 6653-6675, November.
    4. M. Sajid Khan & Mina Woo & Kichan Nam & Prakash K. Chathoth, 2017. "Smart City and Smart Tourism: A Case of Dubai," Sustainability, MDPI, vol. 9(12), pages 1-24, December.
    5. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2007. "Extended VIKOR method in comparison with outranking methods," European Journal of Operational Research, Elsevier, vol. 178(2), pages 514-529, April.
    6. Mimica R. Milošević & Dušan M. Milošević & Dragan M. Stević & Ana D. Stanojević, 2019. "Smart City: Modeling Key Indicators in Serbia Using IT2FS," Sustainability, MDPI, vol. 11(13), pages 1-28, June.
    7. Govindan, Kannan & Jepsen, Martin Brandt, 2016. "ELECTRE: A comprehensive literature review on methodologies and applications," European Journal of Operational Research, Elsevier, vol. 250(1), pages 1-29.
    8. Bojan Srdjevic & Yvonilde Medeiros, 2008. "Fuzzy AHP Assessment of Water Management Plans," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(7), pages 877-894, July.
    9. Thellufsen, J.Z. & Lund, H. & Sorknæs, P. & Østergaard, P.A. & Chang, M. & Drysdale, D. & Nielsen, S. & Djørup, S.R. & Sperling, K., 2020. "Smart energy cities in a 100% renewable energy context," Renewable and Sustainable Energy Reviews, Elsevier, vol. 129(C).
    10. Karol J. Borowiecki & Trilce Navarrete, 2017. "Digitization of heritage collections as indicator of innovation," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 26(3), pages 227-246, April.
    11. Su, Rui & Bramwell, Bill & Whalley, Peter A., 2018. "Cultural political economy and urban heritage tourism," Annals of Tourism Research, Elsevier, vol. 68(C), pages 30-40.
    12. Rita Yi Man Li & Kwong Wing Chau & Frankie Fanjie Zeng, 2019. "Ranking of Risks for Existing and New Building Works," Sustainability, MDPI, vol. 11(10), pages 1-26, May.
    13. Luigi Petti & Claudia Trillo & Busisiwe Ncube Makore, 2020. "Cultural Heritage and Sustainable Development Targets: A Possible Harmonisation? Insights from the European Perspective," Sustainability, MDPI, vol. 12(3), pages 1-24, January.
    14. Joaquín Murillo Viu & Javier Romaní Fernández & Jordi Suriñach Caralt, 2008. "The Impact of Heritage Tourism on an Urban Economy: The Case of Granada and the Alhambra," Tourism Economics, , vol. 14(2), pages 361-376, June.
    15. Seunghwan Myeong & Yuseok Jung & Eunuk Lee, 2018. "A Study on Determinant Factors in Smart City Development: An Analytic Hierarchy Process Analysis," Sustainability, MDPI, vol. 10(8), pages 1-17, July.
    16. Anna Wojewnik-Filipkowska & Joanna Węgrzyn, 2019. "Understanding of Public–Private Partnership Stakeholders as a Condition of Sustainable Development," Sustainability, MDPI, vol. 11(4), pages 1-16, February.
    17. Wang, Xiaoting & Triantaphyllou, Evangelos, 2008. "Ranking irregularities when evaluating alternatives by using some ELECTRE methods," Omega, Elsevier, vol. 36(1), pages 45-63, February.
    18. Esad Muminović & Uroš Radosavljević & Džemila Beganović, 2020. "Strategic Planning and Management Model for the Regeneration of Historic Urban Landscapes: The Case of Historic Center of Novi Pazar in Serbia," Sustainability, MDPI, vol. 12(4), pages 1-33, February.
    19. Ju, Jingrui & Liu, Luning & Feng, Yuqiang, 2018. "Citizen-centered big data analysis-driven governance intelligence framework for smart cities," Telecommunications Policy, Elsevier, vol. 42(10), pages 881-896.
    20. Chiara D’Alpaos & Maria Rosa Valluzzi, 2020. "Protection of Cultural Heritage Buildings and Artistic Assets from Seismic Hazard: A Hierarchical Approach," Sustainability, MDPI, vol. 12(4), pages 1-14, February.
    21. Cinelli, Marco & Kadziński, Miłosz & Gonzalez, Michael & Słowiński, Roman, 2020. "How to support the application of multiple criteria decision analysis? Let us start with a comprehensive taxonomy," Omega, Elsevier, vol. 96(C).
    22. Paul Shrivastava & Silvester Ivanaj & Vera Ivanaj, 2016. "Strategic Technological Innovation for Sustainable Development," Post-Print hal-01512866, HAL.
    23. Joachim H. Spangenberg, 2002. "Institutional sustainability indicators: an analysis of the institutions in Agenda 21 and a draft set of indicators for monitoring their effectivity," Sustainable Development, John Wiley & Sons, Ltd., vol. 10(2), pages 103-115.
    24. Zenonas Turskis & Edmundas Kazimieras Zavadskas & Vladislavas Kutut, 2013. "A Model Based On Aras-G And Ahp Methods For Multiple Criteria Prioritizing Of Heritage Value," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 12(01), pages 45-73.
    25. Alireza Chalekaee & Zenonas Turskis & Mostafa Khanzadi & Gholamreza Ghodrati Amiri & Violeta Keršulienė, 2019. "A New Hybrid MCDM Model with Grey Numbers for the Construction Delay Change Response Problem," Sustainability, MDPI, vol. 11(3), pages 1-16, February.
    26. Katriina Soini & Joost Dessein, 2016. "Culture-Sustainability Relation: Towards a Conceptual Framework," Sustainability, MDPI, vol. 8(2), pages 1-12, February.
    27. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    28. Wei Ren & Feng Han, 2018. "Indicators for Assessing the Sustainability of Built Heritage Attractions: An Anglo-Chinese Study," Sustainability, MDPI, vol. 10(7), pages 1-28, July.
    29. Antonella Lerario, 2020. "The IoT as a Key in the Sensitive Balance between Development Needs and Sustainable Conservation of Cultural Resources in Italian Heritage Cities," Sustainability, MDPI, vol. 12(17), pages 1-24, August.
    30. Bibri, Simon Elias, 2020. "Compact urbanism and the synergic potential of its integration with data-driven smart urbanism : An extensive interdisciplinary literature review," Land Use Policy, Elsevier, vol. 97(C).
    31. Hung-Ming Tu, 2020. "The Attractiveness of Adaptive Heritage Reuse: A Theoretical Framework," Sustainability, MDPI, vol. 12(6), pages 1-15, March.
    32. Ana Nieto-Morote & Francisco Ruz-Vila, 2011. "A Fuzzy Ahp Multi-Criteria Decision-Making Approach Applied To Combined Cooling, Heating, And Power Production Systems," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 497-517.
    33. Paloma Guzman & Ana R. Pereira Roders & Bernard Colenbrander, 2018. "Impacts of Common Urban Development Factors on Cultural Conservation in World Heritage Cities: An Indicators-Based Analysis," Sustainability, MDPI, vol. 10(3), pages 1-18, March.
    34. Rasoolimanesh, S. Mostafa & Jaafar, Mastura & Ahmad, A. Ghafar & Barghi, Rabeeh, 2017. "Community participation in World Heritage Site conservation and tourism development," Tourism Management, Elsevier, vol. 58(C), pages 142-153.
    35. Bertrand Mareschal & Jean Pierre Brans & Philippe Vincke, 1986. "How to select and how to rank projects: the Prométhée method," ULB Institutional Repository 2013/9307, ULB -- Universite Libre de Bruxelles.
    36. Brans, J. P. & Vincke, Ph. & Mareschal, B., 1986. "How to select and how to rank projects: The method," European Journal of Operational Research, Elsevier, vol. 24(2), pages 228-238, February.
    37. Monika Adamczyk & Alina Betlej & Jan Gondek & Alina Ohotina, 2019. "Technology and sustainable development: towards the future?," Entrepreneurship and Sustainability Issues, VsI Entrepreneurship and Sustainability Center, vol. 6(4), pages 2003-2016, June.
    38. Zanakis, Stelios H. & Solomon, Anthony & Wishart, Nicole & Dublish, Sandipa, 1998. "Multi-attribute decision making: A simulation comparison of select methods," European Journal of Operational Research, Elsevier, vol. 107(3), pages 507-529, June.
    39. Shahrbanoo Gholitabar & Habib Alipour & Carlos Manuel Martins da Costa, 2018. "An Empirical Investigation of Architectural Heritage Management Implications for Tourism: The Case of Portugal," Sustainability, MDPI, vol. 10(1), pages 1-32, January.
    40. Gershon, Mark, 1984. "The role of weights and scales in the application of multiobjective decision making," European Journal of Operational Research, Elsevier, vol. 15(2), pages 244-250, February.
    41. Guitouni, Adel & Martel, Jean-Marc, 1998. "Tentative guidelines to help choosing an appropriate MCDA method," European Journal of Operational Research, Elsevier, vol. 109(2), pages 501-521, September.
    42. Nripendra P. Rana & Sunil Luthra & Sachin Kumar Mangla & Rubina Islam & Sian Roderick & Yogesh K. Dwivedi, 2019. "Barriers to the Development of Smart Cities in Indian Context," Information Systems Frontiers, Springer, vol. 21(3), pages 503-525, June.
    43. Ruiling Wang & Guo Liu & Jingyang Zhou & Jianhui Wang, 2019. "Identifying the Critical Stakeholders for the Sustainable Development of Architectural Heritage of Tourism: From the Perspective of China," Sustainability, MDPI, vol. 11(6), pages 1-20, March.
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