通过邻域建立用于诊断和治疗登革热的新型多理想纳米拓扑模型

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-09-09 DOI:10.1007/s40314-024-02910-4

Kamalpreet Kaur, Asha Gupta, Tareq M. Al-shami, M. Hosny

{"title":"通过邻域建立用于诊断和治疗登革热的新型多理想纳米拓扑模型","authors":"Kamalpreet Kaur, Asha Gupta, Tareq M. Al-shami, M. Hosny","doi":"10.1007/s40314-024-02910-4","DOIUrl":null,"url":null,"abstract":"<p>The idea of nano-topology was originally proposed a decade ago by Thivagar. Since then, a lot of research has been done on the generalizations of the basic notions of nano-topology to overcome the limitations of an equivalence relation. The aim of this paper is to induce a novel frame of nano-topology using various covering-based neighborhoods via multiple ideals. The main properties of the proposed frame are acquired with the help of some illustrative instances, as well as its pros compared to the previous ones are investigated amply. A medical application is also discussed towards the end of this paper, where multi-ideal nano-topology is used to find the key symptoms of dengue disease. In addition, the most suitable medication is also suggested for the cure using the proposed theory.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"5 1","pages":""},"PeriodicalIF":2.6000,"publicationDate":"2024-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new multi-ideal nano-topological model via neighborhoods for diagnosis and cure of dengue\",\"authors\":\"Kamalpreet Kaur, Asha Gupta, Tareq M. Al-shami, M. Hosny\",\"doi\":\"10.1007/s40314-024-02910-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The idea of nano-topology was originally proposed a decade ago by Thivagar. Since then, a lot of research has been done on the generalizations of the basic notions of nano-topology to overcome the limitations of an equivalence relation. The aim of this paper is to induce a novel frame of nano-topology using various covering-based neighborhoods via multiple ideals. The main properties of the proposed frame are acquired with the help of some illustrative instances, as well as its pros compared to the previous ones are investigated amply. A medical application is also discussed towards the end of this paper, where multi-ideal nano-topology is used to find the key symptoms of dengue disease. In addition, the most suitable medication is also suggested for the cure using the proposed theory.</p>\",\"PeriodicalId\":51278,\"journal\":{\"name\":\"Computational and Applied Mathematics\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":2.6000,\"publicationDate\":\"2024-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40314-024-02910-4\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s40314-024-02910-4","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

纳米拓扑学的概念最初是由 Thivagar 在十年前提出的。此后，人们对纳米拓扑学的基本概念进行了大量研究，以克服等价关系的局限性。本文的目的是通过多重理想，利用各种基于覆盖的邻域，诱导出一种新的纳米拓扑框架。在一些示例的帮助下，我们获得了所提框架的主要特性，并充分研究了它与之前框架相比的优点。本文最后还讨论了一项医疗应用，即利用多理想纳米拓扑来发现登革热病的主要症状。此外，还利用所提出的理论提出了最合适的治疗药物。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A new multi-ideal nano-topological model via neighborhoods for diagnosis and cure of dengue

The idea of nano-topology was originally proposed a decade ago by Thivagar. Since then, a lot of research has been done on the generalizations of the basic notions of nano-topology to overcome the limitations of an equivalence relation. The aim of this paper is to induce a novel frame of nano-topology using various covering-based neighborhoods via multiple ideals. The main properties of the proposed frame are acquired with the help of some illustrative instances, as well as its pros compared to the previous ones are investigated amply. A medical application is also discussed towards the end of this paper, where multi-ideal nano-topology is used to find the key symptoms of dengue disease. In addition, the most suitable medication is also suggested for the cure using the proposed theory.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.