在分层的单值软拓结构上.
Fahad Alsharari1, Yaser Saber2,3, Hanan Alohali4
1Department of Mathematics, College of Science, Jouf University, Sakaka 72311, Saudi Arabia.
Heliyon
|December 13, 2024
概括
这项研究引入了新的分层单值中性质软结构,包括拓性,过器,准均性和准接近性. 它探讨了它们的特性和相互联系,推进了中性学集合论的应用.
科学领域:
- 数学 数学 是一个数学.
- 拓学的拓学
- 中性学集合理论中性学集合理论
背景情况:
- 现有的拓空间缺乏灵活性来处理现实数据中固有的不确定性和不精确性.
- 中性学集合论为管理模糊和不确定的信息提供了一个框架,但其与拓结构的整合需要进一步发展.
研究的目的:
- 引入和定义新的概念:分层的单值中性质软的拓性,分层的单值中性质软的过器,分层的单值中性质软的准统一性和分层的单值中性质软的准接近性.
- 通过整合分层svns-topogenous和分层svns-filter而形成的单值中性质软拓结构的特性.
- 探索这些新定义的单值中性质软拓结构及其相应的分层之间的关系.
主要方法:
- 对分层单值中性质软结构的理论框架的开发.
- 整合分层的单值中性质软的拓和过概念,以形成新的拓结构.
- 分析研究这些新型结构的特性和相互关系.
主要成果:
- 分层的单值中性质软的拓,过器,准统一性和准接近性空间的正式定义和属性.
- 通过分层svns-topogenous和svns-filter的组合,对单值中性质软拓结构进行表征.
- 建立了定义的单值中性质软拓结构及其分层对应物之间的连接.
结论:
- 该研究成功地引入并定义了新的分层单值中性质软拓结构.
- 这项研究为理解这些先进的中性学软拓概念及其分层提供了理论基础.
- 这项工作为日益增长的中性层拓学领域做出了贡献,在需要强大处理不确定性的领域提供了潜在的应用.
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