Integrating TreeSoft and HyperSoft Paradigms into Urban Elderly Care Evaluation: A Comprehensive n-SuperHyperGraph Approach
The rapid aging of global urban populations has compelled cities to reimagine how elderly care services are delivered, structured, and evaluated. Traditional models such as TreeSoft, which rely on hierarchical and clearly defined service flows, are well-suited for institutional settings but often fa...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-06-01
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| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/48HyperSoftParadigms.pdf |
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| Summary: | The rapid aging of global urban populations has compelled cities to reimagine how elderly care services are delivered, structured, and evaluated. Traditional models such as TreeSoft, which rely on hierarchical and clearly defined service flows, are well-suited for institutional settings but often fail to capture informal or uncertain care dynamics. On the other end of the spectrum, HyperSoft frameworks emphasize flexibility and allow for the modeling of indeterminate or overlapping relationships common in community-based or volunteer-driven services but they often lack operational coherence. This research proposes a hybrid evaluation model that integrates TreeSoft and HyperSoft paradigms within the powerful mathematical structure of the n-SuperHyperGraph (n-SHG). Grounded in ecosystem theory, the n-SHG framework enables the modeling of nested, layered, and partially uncertain relationships between service actors such as families, clinics, local authorities, and digital providers. Using data collected from three urban districts, we evaluate five smart elderly care service modes using connectivity, redundancy, and uncertainty indicators derived from the n-SHG structure. The results not only differentiate modes by performance but also demonstrate how both structured (TreeSoft-like) and fluid (HyperSoft-like) care systems can be understood, compared, and optimized under one unified analytical framework. This hybrid modeling approach provides a roadmap for policymakers, urban planners, and researchers seeking to develop adaptive, inclusive, and resilient elderly care ecosystems. Also, we show a case study of TreeSoft set with four criteria and five alternatives. We compute the criteria weights in the main criteria and each sub-criteria. We use the MARCOS method to rank the alternatives. |
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| ISSN: | 2331-6055 2331-608X |