Fuzzy α - γ Operators in Biotopological Space: A Novel Approach to Modeling Ecosystem Interactions

Because natural habitats are inherently complex and uncertain, modeling ecosystem interactions needs advanced mathematical methods. Because ecological relationships are dynamic and ambiguous, traditional approaches frequently fail to capture their essence. In order to improve the modeling of ecosystem interactions, this paper presents a unique method by incorporating fuzzy α-γ operators into biotopological spaces. A more detailed depiction of species interactions and environmental influences is made possible by the use of fuzzy α-γ operators to manage ambiguity in ecological data. The suggested framework offers a strong framework for examining spatial-temporal changes by utilizing the characteristics of biotopological spaces to characterize the topological and fuzzy dynamics of ecosystems. The model's ability to capture intricate ecological patterns and provide better forecasting capabilities than conventional deterministic models is demonstrated through theoretical research and case studies.