Multi-attribute decision-making approach is a widely used algorithm that needs some aggregation tools and several such aggregation operators have been developed in past decades to serve the purpose. Hamacher aggregation operator is one such operator which is based on Hamacher t-norm and t-conorm. It is observed that the Hamacher aggregation operators of intuitionistic fuzzy set, Pythagorean fuzzy set and that of picture fuzzy set has some limitations in their applicability. To serve the purpose, in this paper, some Hamacher aggregation operators based on T-spherical fuzzy numbers are introduced. The concepts of T-spherical fuzzy Hamacher-weighted averaging and T-spherical fuzzy Hamacher-weighted geometric aggregation operators are proposed which described four aspects of human opinion including yes, no, abstinence and refusal with no limitations. Such type of aggregation operators efficiently describes the cases that left unsolved by the existing aggregation operators. The validity of the proposed aggregation operators is examined, and some basic properties are discussed. The proposed new Hamacher aggregation operators are used to analyze the performance of search and rescue robots using a multi-attribute decision-making approach as their performance in an emergency is eminent. The proposed Hamacher aggregation operators have two variable parameters, namely q and \(\gamma \) which affects the decision-making process and their sensitivity towards decision-making results is analyzed. A comparative analysis of the results obtained using proposed Hamacher aggregation operators in view of the variable parameters q and \(\gamma \) is established to discuss any advantages or disadvantages.

中文翻译：

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使用T球形模糊Hamacher聚合算子评估搜索救援机器人的性能

多属性决策方法是一种广泛使用的算法，需要一些聚合工具，并且在过去的几十年中已经开发了几种此类聚合运算符来达到目的。Hamacher聚合算子就是这样一种算子，它基于Hamacher t-范数和t-conorm。可以看出直觉模糊集，毕达哥拉斯模糊集和图片模糊集的Hamacher聚合算子在适用性上有一定的局限性。为了达到这个目的，本文介绍了一些基于T球模糊数的Hamacher聚合算子。提出了T球模糊Hamacher加权平均和T球模糊Hamacher加权几何聚合算子的概念，描述了人类观点的四个方面，包括是，不，禁欲和拒绝。这种类型的聚合运算符有效地描述了现有聚合运算符无法解决的情况。研究了所提出的聚合算子的有效性，并讨论了一些基本性质。提出的新Hamacher集合算子用于在紧急情况下表现出多属性决策方法的情况下，使用多属性决策方法分析搜索和救援机器人的性能。提出的Hamacher聚合算子具有两个可变参数，即 提出的新Hamacher聚合算子用于在紧急情况下表现出多属性决策方法的情况下，使用多属性决策方法分析搜索和救援机器人的性能。提出的Hamacher聚合算子具有两个可变参数，即 提出的新Hamacher集合算子用于在紧急情况下表现出多属性决策方法的情况下，使用多属性决策方法分析搜索和救援机器人的性能。提出的Hamacher聚合算子具有两个可变参数，即分析影响决策过程的q和\（\ gamma \），并分析它们对决策结果的敏感性。针对变量参数q和\（\ gamma \），使用提议的Hamacher聚合算子获得的结果进行了比较分析，以讨论任何优点或缺点。