Application of New Divergence Measure in Complex Fermatean Fuzzy Sets for Post-Flood Assessment

Yuhan Li; Sijia Zhu; Juan Liao; Sukumar Letchmunan; Jiahao Shi; Zhe Liu

doi:10.31181/jidmgc1120258

Authors

Yuhan Li Cw Chu College, Jiangsu Normal University, Xuzhou 221116, China Author https://orcid.org/0000-0001-7582-3798
Sijia Zhu Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore 21218, USA Author https://orcid.org/0000-0002-4798-8314
Juan Liao School of Computer Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia Author https://orcid.org/0000-0002-3599-1348
Sukumar Letchmunan School of Computer Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia Author https://orcid.org/0000-0002-3521-7141
Jiahao Shi College of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China Author https://orcid.org/0000-0002-2595-8544
Zhe Liu School of Computer Sciences, Universiti Sains Malaysia, Penang 11800, Malaysia Author https://orcid.org/0000-0002-8580-9655

DOI:

https://doi.org/10.31181/jidmgc1120258

Keywords:

Complex Fermatean fuzzy sets, Divergence measures, Decision making, Post-flood assessment

Abstract

Complex Fermatean fuzzy sets (CFFSs) combine complex fuzzy sets and Fermatean fuzzy sets, with membership, non-membership, and neutral degrees represented as complex numbers, thus enabling a more flexible and comprehensive representation of uncertainty. Nevertheless, a key unresolved challenge is how to measure the differences of CFFSs in decision-making processes appropriately. This paper introduces a new divergence measure based on CFFSs, aiming to overcome the limitations of existing measures. The proposed measure has been thoroughly validated to meet the required axioms, with its reliability and effectiveness confirmed through numerical comparisons. Additionally, we apply the proposed divergence measures to a post-flood assessment application, demonstrating their high confidence and consistency.

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References

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Application of New Divergence Measure in Complex Fermatean Fuzzy Sets for Post-Flood Assessment

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