Abstract
This study proposes a probabilistic hesitant fuzzy multi-criteria decision-making approach for assessing sustainable heating system alternatives under uncertain situations. The selection of heating systems is a major issue in sustainability in cold climate regions due to its high energy requirements. The proposed approach integrates the Probabilistic Hesitant Fuzzy Analytic Hierarchy Process (PHF-AHP) for determining the weights of decision criteria and the Evaluation Based on Distance from Average Solution (EDAS) for ranking alternatives. The probabilistic hesitant fuzzy approach allows decision-makers to reflect uncertainty and hesitation in decision-making under expert judgments by considering various membership values with their respective probabilities. To validate the proposed methodological framework, a case study of five heating system alternatives is presented. The results reveal that the proposed PHF-AHP-EDAS approach is reliable in ranking alternatives under ambiguity and uncertainty in sustainability decision problems.
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Data availability
The study utilizes secondary data, which are publicly available and anonymized. The datasets analyzed during the current study are available from the corresponding author on reasonable request.
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Acknowledgements
This research work was supported by the National Research Foundation of Korea (NRF), by the Korea government (MSIT). The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through the Large Research Project under Grant No. RGP2/173/46.
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KS: Conceptualization, Data curation, Visualization,Formal analysis, Methodology. VM: Conceptualization, Data curation, Formal analysis, Methodology, Writing–original draft. RJ: Conceptualization, Resources, Supervision, Formal analysis, Writing–original draft. SN: Investigation, Resources, Methodology, Writing–original draft. Writing - review and Editing. NA: Formal analysis, Methodology, Validation,Funding acquisition. HD: Resources, Validation, Visualization, Writing–review and editing, Funding acquisition. SY: Validation, Writing–review and editing, Funding acquisition. JJ: Conceptualization, Investigation, Resources, Formal analysis, Methodology, Writing and Editing.
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Suvitha, K., Murugesan, V., Jaisankar, R. et al. A hybrid decision-support framework for selecting sustainable domestic heating systems in cold climates. Sci Rep (2026). https://doi.org/10.1038/s41598-026-47813-y
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DOI: https://doi.org/10.1038/s41598-026-47813-y


