Haibin Wang, P. Madiraju, Yanqing Zhang, Rajshekhar Sunderraman
{"title":"间隔中性粒细胞群","authors":"Haibin Wang, P. Madiraju, Yanqing Zhang, Rajshekhar Sunderraman","doi":"10.5281/ZENODO.32260","DOIUrl":null,"url":null,"abstract":"A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The neutrosophic set is a powerful general formal framework that has been recently proposed. However, the neutrosophic set needs to be specified from a technical point of view. Now we define the set-theoretic operators on an instance of a neutrosophic set, and call it an Interval Neutrosophic Set (INS). We prove various properties of INS, which are connected to operations and relations over INS. Finally, we introduce the convexity of interval neutrosophic sets.","PeriodicalId":44573,"journal":{"name":"International Journal of Applied Mathematics & Statistics","volume":"42 1","pages":"1-18"},"PeriodicalIF":0.3000,"publicationDate":"2004-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"65","resultStr":"{\"title\":\"Interval Neutrosophic Sets\",\"authors\":\"Haibin Wang, P. Madiraju, Yanqing Zhang, Rajshekhar Sunderraman\",\"doi\":\"10.5281/ZENODO.32260\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The neutrosophic set is a powerful general formal framework that has been recently proposed. However, the neutrosophic set needs to be specified from a technical point of view. Now we define the set-theoretic operators on an instance of a neutrosophic set, and call it an Interval Neutrosophic Set (INS). We prove various properties of INS, which are connected to operations and relations over INS. Finally, we introduce the convexity of interval neutrosophic sets.\",\"PeriodicalId\":44573,\"journal\":{\"name\":\"International Journal of Applied Mathematics & Statistics\",\"volume\":\"42 1\",\"pages\":\"1-18\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2004-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"65\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Applied Mathematics & Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.32260\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Applied Mathematics & Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.32260","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The neutrosophic set is a powerful general formal framework that has been recently proposed. However, the neutrosophic set needs to be specified from a technical point of view. Now we define the set-theoretic operators on an instance of a neutrosophic set, and call it an Interval Neutrosophic Set (INS). We prove various properties of INS, which are connected to operations and relations over INS. Finally, we introduce the convexity of interval neutrosophic sets.
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