Neutrosophic set, Fermatean neutrosophic set, Fractals, Pixel profile software, complexity

Abstract

Fermatean neutrosophic sets (FNS) are well suited for analyzing complex and uncertain 
environmental phenomena like forest areas, degraded zones, and deforestation lanes. The 
notions of truth, indeterminacy, and falsity inherent in Fermatean Neutrosophic logic to map 
forested areas to truth, degraded areas to indeterminacy, and deforested zones to falsehood, 
particularly when data from satellite imagery and pixel analysis are incomplete or conflicting. 
The pixel profile program allows for exact categorization by examining hue, intensity, and 
saturation (HIS) values extracted from satellite pictures. This technique provides a solid 
foundation for monitoring forest health, identifying degradation trends, and analyzing 
deforestation consequences. The findings illustrate the efficiency of this technique in dealing 
with the inherent ambiguity and unpredictability of environmental data, opening the way for 
better decision-making in forest management and conservation initiatives. Combined with 
pixel profile software, this method can play a crucial role in achieving Forest Goals 2030.  

DOI: 10.5281/zenodo.17112990