The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is considered among the most frequently used techniques to deal with multi-criteria group decision-making (MCGDM) conflicts. In this article, we have presented an extended TOPSIS technique in the framework of interval type-2 trapezoidal Pythagorean fuzzy numbers (IT2TrPFN). We first projected a novel approach to evaluate the distance between them using ordered weighted averaging operator and \((\alpha ,\beta )\)-cut. Subsequently, we widen the concept of TOPSIS method formed on the distance method with IT2TrPFNs and applied it on MCGDM dilemma by considering the attitudes and perspectives of the decision-makers. Lastly, an application of solar tracking system and numerous contrasts with the other existing techniques are presented to express the practicality and feasibility of our projected approach.

在解决多标准组决策（MCGDM）冲突时，最常使用的技术被认为是“与理想解决方案相似的顺序偏好技术”。在本文中，我们在区间2型梯形勾股模糊数（IT2TrPFN）的框架内提出了一种扩展的TOPSIS技术。我们首先设计了一种新颖的方法，以使用有序加权平均算子和\（（\ alpha，\ beta）\）来评估它们之间的距离。-切。随后，我们通过考虑决策者的态度和观点，拓宽了使用IT2TrPFN在距离方法上形成的TOPSIS方法的概念，并将其应用于MCGDM困境。最后，提出了太阳能跟踪系统的应用以及与其他现有技术的众多对比，以表达我们的预测方法的实用性和可行性。