In this paper, as a generalization of the concepts of hesitant fuzzy bi-ideals and hesitant fuzzy right (resp. left) ideals of semigroups, the concepts of hesitant fuzzy -ideals and hesitant fuzzy -ideals (resp. -ideals) are introduced. Furthermore, conditions for a hesitant fuzzy -ideal (-ideal, -ideal) to be a hesitant fuzzy bi-ideal (right ideal, left ideal) are provided. Moreover, several correspondences between bi-ideals (right ideals, left ideals) and hesitant fuzzy -ideals (-ideals, -ideals) are obtained. Also, the characterizations of different classes of semigroups in terms of their hesitant fuzzy -ideals and hesitant fuzzy -ideals (-ideals) are investigated.

中文翻译：

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半群中的广义犹豫模糊理想

在本文中，作为半群的犹豫模糊两理想概念和犹豫模糊右（理想左）理想的概括，犹豫模糊的概念 -理想与犹豫不定-理想（resp。-理想）。此外，犹豫的条件模糊-理想（-理想的-理想）提供犹豫的模糊双理想（右理想，左理想）。而且，双理想（右理想，左理想）和犹豫模糊之间的几种对应关系-理想（-理想，-理想）。同样，根据犹豫不定的模糊性对不同类别的半群进行刻画-理想与犹豫不定-理想（-理想）。