Some weighted aggregation operators of quadripartitioned single-valued trapezoidal neutrosophic sets and their multi-criteria group decision-making method for developing green supplier selection criteria

In contemporary decision-making scenarios, the ability to handle uncertainty and ambiguity is paramount. This paper introduces the concept of quadripartitioned single-valued trapezoidal neutrosophic sets, offering a broader scope for depicting membership grades compared to existing frameworks. Leveraging this, the quadripartitioned single-valued trapezoidal neutrosophic numbers (QSVTrNNs) emerge as a robust tool for modeling evaluation values in decision-making processes, particularly in multi-criteria decision making contexts. The primary contribution of this manuscript lies in the development of novel aggregation operators tailored to fuse quadripartitioned single-valued trapezoidal neutrosophic information effectively. Essential groundwork includes defining the fundamental concepts of QSVTrNNs, their operational relations, and a comprehensive score function. Two key aggregation operators, namely the quadripartitioned single-valued trapezoidal neutrosophic weighted averaging and quadripartitioned single-valued trapezoidal neutrosophic weighted geometric, are proposed and thoroughly investigated for their properties. Furthermore, this paper extends its applicability into quadripartitioned single-valued trapezoidal neutrosophic multi-criteria decision making, demonstrating its efficacy in developing green supplier selection criteria. An illustrative example elucidates the practical implementation of the proposed method, providing detailed insights into selecting the most suitable green supplier based on ranking orders. This research not only expands the theoretical framework of neutrosophic sets but also offers practical tools to navigate complex decision landscapes, especially in domains where uncertainty is inherent and critical decisions must be made with confidence.