Integer programming based on spherical fuzzy AHP and spherical fuzzy TOPSIS for wildfire equipment planning

Burcu Tezcan and Tamer Eren ()
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Burcu Tezcan: Cappadocia University
Tamer Eren: Kırıkkale University

Environment Systems and Decisions, 2025, vol. 45, issue 3, 1-26

Abstract: Abstract Forest fires can occur due to various factors and spread rapidly, posing a significant environmental threat. In particular, 12 million hectares of land in the Aegean and Mediterranean regions are at risk. Risk areas refer to locations where fires can easily ignite and quickly propagate to surrounding zones. This study aims to identify high-risk forest fire areas in Muğla province and to develop a strategic resource allocation plan. Muğla, known for its biodiversity and tourism potential, includes 13 districts considered as alternatives in the analysis. Due to the inherent uncertainty in fire risk assessment, fuzzy set theory was employed. Four main criteria and 14 sub-criteria influencing fire probability were evaluated using the Global Fuzzy AHP method. According to the results, aspect emerged as the most significant factor with a weight of 0.112, followed by humidity at 0.098. These weights were then used to rank the districts via the Global Fuzzy TOPSIS method. Sensitivity analysis was conducted to validate the ranking, with Datça identified as the highest-risk district. Comparative analysis was performed using FAHP and FTOPSIS methods. Once potential fire zones in Datça were identified, an optimal resource allocation model was developed using integer linear programming. The model considers fire spread rate, priority levels, equipment availability, and response time. This study presents a comprehensive approach that integrates fuzzy-based risk analysis and optimization techniques for effective fire management.

Keywords: Forest fires; SF-AHP; SF-TOPSIS; Integer Programming; Mugla (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10669-025-10029-y

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