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<p>In this paper, we introduce the concept of soft GE-algebras within the framework of GE-algebra theory, extending existing approaches by incorporating principles of soft set theory. We investigate the structural properties of soft GE-algebras, define operations on these structures, and establish criteria for identifying soft subalgebras. Furthermore, we present key theorems that relate the properties of soft GE-algebras to operations such as intersection, union, and mapping, particularly emphasizing the role of GE-morphisms. These findings lay the groundwork for further exploration of soft structures in the context of GE-algebras and their potential applications in decision-making and computational logic.</p>

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Soft GE-algebras

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年6月28日

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  • Hashem Bordbar,
  • Ravikumar Bandaru,
  • Young Bae Jun

摘要

In this paper, we introduce the concept of soft GE-algebras within the framework of GE-algebra theory, extending existing approaches by incorporating principles of soft set theory. We investigate the structural properties of soft GE-algebras, define operations on these structures, and establish criteria for identifying soft subalgebras. Furthermore, we present key theorems that relate the properties of soft GE-algebras to operations such as intersection, union, and mapping, particularly emphasizing the role of GE-morphisms. These findings lay the groundwork for further exploration of soft structures in the context of GE-algebras and their potential applications in decision-making and computational logic.