Application of Game Method for Modelling and Temporal Intuitionistic Fuzzy Pairs to the Forest Fire Spread in the Presence of Strong Wind

Deyan Mavrov, Vassia Atanassova, Veselina Bureva, Olympia Roeva, Peter Vassilev, Radoslav Tsvetkov, Dafina Zoteva, Evdokia Sotirova, Krassimir Atanassov, Alexander Alexandrov and Hristo Tsakov
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Deyan Mavrov: Intelligent Systems Laboratory, “Prof. Dr. Assen Zlatarov” University, 1 “Prof. Yakim Yakimov” Blvd., 8010 Burgas, Bulgaria
Vassia Atanassova: Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria
Veselina Bureva: Intelligent Systems Laboratory, “Prof. Dr. Assen Zlatarov” University, 1 “Prof. Yakim Yakimov” Blvd., 8010 Burgas, Bulgaria
Olympia Roeva: Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria
Peter Vassilev: Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria
Radoslav Tsvetkov: Faculty of Applied Mathematics and Informatics, Technical University Sofia, 8 Kliment Ohridski Blvd., 1000 Sofia, Bulgaria
Dafina Zoteva: Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, 5 James Bourchier Blvd., 1164 Sofia, Bulgaria
Evdokia Sotirova: Intelligent Systems Laboratory, “Prof. Dr. Assen Zlatarov” University, 1 “Prof. Yakim Yakimov” Blvd., 8010 Burgas, Bulgaria
Krassimir Atanassov: Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., Bl. 105, 1113 Sofia, Bulgaria
Alexander Alexandrov: Department of Agricultural and Forestry Sciences, Forest Research Institute, Bulgarian Academy of Sciences, 132 Kliment Ohridski Blvd., 1756 Sofia, Bulgaria
Hristo Tsakov: Department of Agricultural and Forestry Sciences, Forest Research Institute, Bulgarian Academy of Sciences, 132 Kliment Ohridski Blvd., 1756 Sofia, Bulgaria

Mathematics, 2022, vol. 10, issue 8, 1-17

Abstract: In a series of papers, the initiation and development of forest fires are described in terms of the cellular automata-based Game Method for Modelling (GMM), modelling a particular area as an orthogonal grid of square cells whose values are changing with respect to predefined rules. In the present leg of this research, the simulation of the wildfire that occurred in the Kresna Gorge in Bulgaria in August 2017 is presented, rendering an account of the wind, characterized by its direction and intensity, and evaluating the impact of the fire iteratively in terms of temporal intuitionistic fuzzy sets that maintain the information about the degrees of burnt and unaffected areas. The results from the software product FireGrid , implementing the GMM-model developed by the authors, are also compared to the results from the software application FlamMap . Additionally, the paper presents for the first time the basic properties of the defined operations and operators over temporal intuitionistic fuzzy pairs.

Keywords: forest fire; fire spread; game method for modelling; intuitionistic fuzzy sets; intuitionistic fuzzy pairs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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