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<p>Near set theory, a generalization of rough set theory, constructs the universal set based on the properties of objects and the available information about these objects. Considering this fundamental property, the main aim of this paper is to introduce the concept of a nearness <i>R</i>-module, an algebraic structure containing objects with multiple properties, defined on a nearness ring <i>R</i>, based on near set theory. Additionally, we define nearness <i>R</i>-module homomorphisms and examine their basic properties.</p>

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Nearness Modules

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月26日

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  • Mehmet Ali Öztürk

摘要

Near set theory, a generalization of rough set theory, constructs the universal set based on the properties of objects and the available information about these objects. Considering this fundamental property, the main aim of this paper is to introduce the concept of a nearness R-module, an algebraic structure containing objects with multiple properties, defined on a nearness ring R, based on near set theory. Additionally, we define nearness R-module homomorphisms and examine their basic properties.