Revisiting albedo from a fuzzy perspective
ISSN: 0368-492X
Article publication date: 27 July 2021
Issue publication date: 22 November 2022
Abstract
Purpose
The aim of this paper is to revisit the albedo for uncertainty. The albedo is considered as a fuzzy value due to some realistic reasons which they will be discussed in details. After defining an appropriate uncertain albedo by using fuzzy set theory, the related energy balance model is also redefined as a fuzzy differential equation by using the concept of fuzzy derivative.
Design/methodology/approach
The well-known Earth energy balance model is redefined as a fuzzy differential equation by using the concept of fuzzy derivative. Thus, instead of an ordinary differential equation, a fuzzy differential equation arises which it's solution procedure will be discussed in details.
Findings
Results indicate that the fuzzy uncertainty for albedo causes more real results after solving the fuzzy energy balance equation. Considering albedo as a fuzzy number is more realistic than considering a single certain number for albedo of a surface. This is due to this fact that the Earth's surface coverage is not crisp and the boundaries of different types of lands are not consistent. The proposed approach of this paper can help us to provide more realistic climate models and construct dynamical models which can model the albedo based on its variability.
Originality/value
In this paper, we defined fuzzy energy balance model as a fuzzy differential equation for the first time. We also, considered albedo as a fuzzy number which is another novel approach.
Keywords
Acknowledgements
The authors declare that they have no conflict of interests. The authors would like to thank the editor and the respected reviewers for their valuable comments. They also would like to thank Dr. Sattar Ezzati, for providing Plate 1.
Citation
Pakdaman, M., Habibi Nokhandan, M. and Falamarzi, Y. (2022), "Revisiting albedo from a fuzzy perspective", Kybernetes, Vol. 51 No. 10, pp. 2927-2937. https://doi.org/10.1108/K-12-2020-0834
Publisher
:Emerald Publishing Limited
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