Optimizing crop yields through picture fuzzy soft set analysis: A comprehensive approach

This paper develops the notion of picture fuzzy soft continuity for mappings in picture fuzzy soft topological spaces and introduces picture fuzzy soft compactness based on core topological principles. Key definitions and related results are established to strengthen the theoretical foundation. Building on this framework, we design decision-making algorithms for crop cultivation that operate within the Picture Fuzzy Soft Set environment. Illustrative case studies demonstrate the practicality and effectiveness of the proposed approach for handling uncertainty and evaluating multiple agronomic factors. The study bridges topology based PFSS theory with agricultural decision support, indicating its potential to improve crop selection strategies, enhance yield outcomes, and support sustainable planning.