Mathematical Modeling for Crop Allocation in Agricultural Fields

Abstract

This study presents a Picture Fuzzy Assignment Problem (PFAP) for optimally assigning four distinct crops to four equal-sized paddocks with varying soil fertility. Since fertilizer requirements are uncertain due to changing agricultural conditions and expert judgment, picture fuzzy numbers are used to represent the associated costs. The objective is to determine the one-to-one crop–paddock assignment that minimizes the total fertilizer cost. The proposed picture fuzzy approach effectively handles uncertainty and provides a reliable decision-making framework for achieving cost-efficient and sustainable crop allocation.