Work

A Mathematical Model for Continuous Expression of Urban Underground Space Resource Multi-Object Evaluation

Year: 2026

Type: article

Abstract: Urban underground space resource (UUSR) constitutes a critical natural resource and a vital component of the natural environment, whose rational utilization is essential for the sustainable development of cities. Mathematical models are indispensable for the multi-object evaluation of UUSR. However, in previous research based on traditional mathematical models, neither the continuous expression of evaluation results has been considered, nor has the comparability been addressed. In this paper, the interval continuous mathematical model (ICMM) is presented at the theoretical level for UUSR multi-object evaluation. By achieving the continuous distribution of quantitative values of evaluation indicators, removing the step-like output features of evaluation results, and eliminating predefined grade boundaries, the ICMM achieves continuous expression of the results and improves their comparability across different areas. The correlation analysis conducted on the UUSR evaluation indicators demonstrates a significant monotonic relationship between the indicator value and the evaluation result, regardless of the increasing trend or the decreasing trend. Finally, a numerical experiment clearly demonstrates that the ICMM is valid for evaluating different UUSR objects.

Source: Urban Science

DOI: 10.3390/urbansci10050260

Authors: Dixu Liu, Zhongsheng Wang, Yang Yang, Chuanjie Zhao, Wei Zhang, Jie Dong

Institutions: Hunan University of Science and Technology, Ministry of Natural Resources, Central South University

Language: English

Topic: Underground infrastructure and sustainability

Subfield: Building and Construction

Field: Engineering

Domain: Physical Sciences

SDG: Sustainable cities and communities

Open Access status: gold

Estimated APC paid: $1,930