In this paper, the notions of uni-soft sub \(\Gamma \) -semihypergroups, uni-soft left (resp., right) \(\Gamma \)-hyperideals and uni-soft interior \(\Gamma \)-hyperideals of ordered \(\Gamma \)-semihypergroups are introduced. We introduce the notion of uni-soft simple ordered \(\Gamma \)-semihypergroups. Furthermore, we characterize uni-soft simple ordered \(\Gamma \)-semihypergroups in terms of these notions.

中文翻译：

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Uni-Soft结构应用于有序$$ \ Gamma $$Γ-半超群

在本文中，单软子\（\ Gamma \）-半超群，单软左（resp。，右）\（\ Gamma \）-超理想和单软内部\（\ Gamma \）的概念-介绍了有序\（\ Gamma \）-半超群的超理想。我们介绍了uni-soft简单有序\（\ Gamma \）- semihypergroups的概念。此外，我们根据这些概念来描述uni-soft简单有序\（\ Gamma \）-半超群。