Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of abstract algebra in the broader framework of fuzzy setting. In this paper, we introduce the notions of int-soft -ideals, int-soft -ideals, and int-soft -ideals of semigroups by generalizing the concept of int-soft bi-ideals, int-soft right ideals, and int-soft left ideals in semigroups. In addition, some of the properties of int-soft -ideal, int-soft -ideal, and int-soft -ideal are studied. Also, characterizations of various types of semigroups such as -regular semigroups, -regular semigroups, and -regular semigroups in terms of their int-soft -ideals, int-soft -ideals, and int-soft -ideals are provided.

中文翻译：

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(m, n)-基于 Int-Soft 集的半群中的理想

代数结构在数学中发挥着重要作用，在许多学科中有着广泛的应用，如理论物理、计算机科学、控制工程、信息科学、编码理论和拓扑空间。这为研究人员提供了足够的动力，以在更广泛的模糊设置框架中审查抽象代数领域的各种概念和结果。在本文中，我们介绍了 int-soft 的概念-理想，int-soft-理想，和 int-soft-通过概括半群中的 int-soft 双理想、int-soft 右理想和 int-soft 左理想的概念来得到半群的理想。另外，int-soft的一些属性-理想的，int-soft-理想的，int-soft-理想的研究。此外，各种类型的半群的表征，如-常规半群，-正则半群，和-就其 int-soft 而言的常规半群-理想，int-soft-理想，和 int-soft-提供理想。