Cubic Spherical Neutrosophic Weighted Geometric Heronian Mean Operator for MCDM with Application to Fertilizer Selection

This paper introduces the Cubic Spherical Neutrosophic Weighted Geometric Heronian Mean (CSNWGHM) operator to aggregating the Cubic Spherical Neutrosophic Set (CSNS) values. The fundamental properties of idempotency, monotonicity and boundedness are rigorously verified for this operator. This aggregation operator is designed to effectively handle uncertain or imprecise information, incorporating a radius parameter for enhanced flexibility. To demonstrate the practical application, this operator is integrated into Multi - Criteria Decision-Making (MCDM) methods. The Step – Wise Weight Assessment Ratio Analysis (SWARA) method is employed to calculate the weights of the criteria. Subsequently, the proposed aggregation operator, in conjunction with a score function is utilized to identify the best and worst alternatives. An illustrative example showcases the efficacy in selecting the most appropriate fertilizer for guava and banana trees, using propositions derived from Neutrosophic SuperHyperSoft Sets (NSHSSs). Furthermore, a sensitivity and comparative analysis is conducted to establish the stability of this approach and determine the perfect correlation factor by evaluating various parameter values.