中性粒细胞集合的几个相似性度量

Q1 Mathematics

Neutrosophic Sets and Systems Pub Date : 2013-10-01 DOI:10.6084/M9.FIGSHARE.1502610.V1

S. Broumi, F. Smarandache

{"title":"中性粒细胞集合的几个相似性度量","authors":"S. Broumi, F. Smarandache","doi":"10.6084/M9.FIGSHARE.1502610.V1","DOIUrl":null,"url":null,"abstract":"Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures.","PeriodicalId":46897,"journal":{"name":"Neutrosophic Sets and Systems","volume":"1 1","pages":"10"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"159","resultStr":"{\"title\":\"Several Similarity Measures of Neutrosophic Sets\",\"authors\":\"S. Broumi, F. Smarandache\",\"doi\":\"10.6084/M9.FIGSHARE.1502610.V1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures.\",\"PeriodicalId\":46897,\"journal\":{\"name\":\"Neutrosophic Sets and Systems\",\"volume\":\"1 1\",\"pages\":\"10\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"159\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Neutrosophic Sets and Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6084/M9.FIGSHARE.1502610.V1\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Neutrosophic Sets and Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6084/M9.FIGSHARE.1502610.V1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 159

摘要

Smarandache(1995)定义了中性集的概念，它是对Zadeh的模糊集和Atanassov的直觉模糊集的推广。在本文中，我们首先发展了中性粒细胞集合的一些相似性度量。我们将提出一种基于Hausdorff距离计算中性粒细胞集(NS)之间距离的方法。然后我们将使用这个距离生成一个新的相似度度量来计算NS之间的相似度。最后，我们将证明所提出的相似度量的一些性质。

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

Several Similarity Measures of Neutrosophic Sets

Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets. We will present a method to calculate the distance between neutrosophic sets (NS) on the basis of the Hausdorff distance. Then we will use this distance to generate a new similarity measure to calculate the degree of similarity between NS. Finally we will prove some properties of the proposed similarity measures.

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

Neutrosophic Sets and Systems COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE-

CiteScore

4.50

自引率

0.00%

发文量

审稿时长

7 weeks

期刊介绍： Neutrosophic Sets and Systems (NSS) is an academic journal, published bimonthly online and on paper, that has been created for publications of advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics etc. and their applications in any field.