Social Vulnerability Evaluation for Ankang City, China, using Fuzzy Analytic Hierarchy Process Method
-
Xuesong Guo
Abstract
A Fuzzy Analytic Hierarchy Process based model was proposed and evaluated for social vulnerability assessment using a case study. The evaluation process is formulated as a multiple criteria decision making problem under uncertainty, where the subjective and imprecise judgements of multiple decision makers are represented as fuzzy numbers. Based on factors extracted from literature review, the researchers determined the factor weights and calculated social vulnerability scores for each county (district) using the Fuzzy Analytic Hierarchy Process method. The researchers demonstrated how the social vulnerability scores of counties (districts) and factor weights change under different uncertainties via sensitivity analysis. The results were comparted with data produced by conventional Analytic Hierarchy Process to test performance of the proposed method. The results show social vulnerability of each county (district) in Ankang City, implying the Urban-Rural Gap exist in current Chinese disaster management system. Most important sub-factors contributing to social vulnerability were also highlighted according to the results on factor weights.
Funding
National Social Science Fund of China, Grant Number: 16BZZ052.
Appendices
Appendix 1
The following table presents the comparative judgments of factor weights (U1, U2, … U10) by decision makers (see details in Table 3). Due to space limitation of the paper, we present judgment matrix by decision maker 1, decision maker 2 and decision maker 28, and the elements marked with “–” can be calculated following Equations (6) and (7) (see details in Fuzzy Analytic Hierarchy Process).
| U1 | U2 | U3 | U4 | U5 | U6 | U7 | U8 | U9 | U10 | |
|---|---|---|---|---|---|---|---|---|---|---|
| Decision Maker 1 | ||||||||||
| U1 | ||||||||||
| U2 | – | |||||||||
| U3 | – | – | ||||||||
| U4 | – | – | – | |||||||
| U5 | – | – | – | – | ||||||
| U6 | – | – | – | – | – | |||||
| U7 | – | – | – | – | – | – | ||||
| U8 | – | – | – | – | – | – | – | |||
| U9 | – | – | – | – | – | – | – | – | ||
| U10 | – | – | – | – | – | – | – | – | – | |
| Decision Maker 2 | ||||||||||
| U1 | ||||||||||
| U2 | – | |||||||||
| U3 | – | – | ||||||||
| U4 | – | – | – | |||||||
| U5 | – | – | – | – | ||||||
| U6 | – | – | – | – | – | |||||
| U7 | – | – | – | – | – | – | ||||
| U8 | – | – | – | – | – | – | – | |||
| U9 | – | – | – | – | – | – | – | – | ||
| U10 | – | – | – | – | – | – | – | – | – | |
| … | ||||||||||
| Decision Maker 28 | ||||||||||
| U1 | ||||||||||
| U2 | – | |||||||||
| U3 | – | – | ||||||||
| U4 | – | – | – | |||||||
| U5 | – | – | – | – | ||||||
| U6 | – | – | – | – | – | |||||
| U7 | – | – | – | – | – | – | ||||
| U8 | – | – | – | – | – | – | – | |||
| U9 | – | – | – | – | – | – | – | – | ||
| U10 | – | – | – | – | – | – | – | – | – | |
Appendix 2
SVS of Counties (Districts) Calculated using Fuzzy AHP and Conventional AHP.
| County (District) | Fuzzy AHP Results | Conventional AHP Results | ||
|---|---|---|---|---|
| SVS | Rank | SVS | Rank | |
| Bai He | 0.0613 | 7 | 0.0589 | 8 |
| Han Bin | 0.0204 | 10 | 0.0298 | 10 |
| Han Yin | 0.0408 | 9 | 0.0308 | 9 |
| Lan Gao | 0.1633 | 2 | 0.1882 | 2 |
| Ning Shan | 0.1842 | 1 | 0.2001 | 1 |
| Ping Li | 0.1219 | 5 | 0.1098 | 5 |
| Shi Quan | 0.1224 | 4 | 0.1106 | 4 |
| Xun Yang | 0.1429 | 3 | 0.1201 | 3 |
| Zhen Ping | 0.0612 | 8 | 0.0599 | 7 |
| Zi Yang | 0.0816 | 6 | 0.0918 | 6 |
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Articles in the same Issue
- Research Articles
- Development of Competency-Based Education Standards for Homeland Security Academic Programs
- Cybersecurity at the Grassroots: American Local Governments and the Challenges of Internet Security
- Using Simulated Annealing to Improve the Information Dissemination Network Structure of a Foreign Animal Disease Outbreak Response
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- Social Vulnerability Evaluation for Ankang City, China, using Fuzzy Analytic Hierarchy Process Method
