Abstract The construction of functions that simultaneously generalize weighted means and OWA operators is an interesting topic that has received special attention in recent years. Due to the properties they satisfy, one of the most interesting generalization are SUOWA operators, which have been widely studied in the literature. In a recent paper, a new generalization has been introduced, the Semi-SUOWA operators, which have a close relationship with SUOWA operators. The main aim of this paper is to analyze the games associated with Semi-SUOWA operators. In this respect, we give conditions under which we can guarantee the monotonicity of these games. Moreover, we establish some relationships between some games associated with SUOWA and Semi-SUOWA operators and show the pointwise convergence of certain games.

中文翻译：

---

一些与SUOWA和Semi-SUOWA运营商相关的游戏之间的关系

摘要 同时泛化加权均值和 OWA 算子的函数的构建是近年来受到特别关注的有趣话题。由于它们满足的特性，最有趣的概括之一是 SUOWA 算子，它已在文献中得到广泛研究。在最近的一篇论文中，引入了一种新的概括，即半索瓦算子，它与索瓦算子有着密切的关系。本文的主要目的是分析与半索瓦运营商相关的博弈。在这方面，我们给出了可以保证这些博弈单调性的条件。此外，我们在与 SUOWA 和 Semi-SUOWA 算子相关的一些游戏之间建立了一些关系，并展示了某些游戏的点收敛。