A study on neutrosophic soft set and neutrosophic hypersoft set
This paper mainly intends to verify whether the basic laws of set theory apply in the Neutrosophic Soft Set (NSS). The laws examined in this paper for NSS include Commutative law, Associative law, Distributive law, Involution law, Idempotent law, and Negation law (law of contradiction and law of exc...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-07-01
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| Series: | Journal of Fuzzy Extension and Applications |
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| Online Access: | https://www.journal-fea.com/article_192837_70522e7da53a224b4a9e2a76487b05aa.pdf |
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| author | Hema Rengaswamy Rajeshwari Subramani Florentin Smarandache |
| author_facet | Hema Rengaswamy Rajeshwari Subramani Florentin Smarandache |
| author_sort | Hema Rengaswamy |
| collection | DOAJ |
| description | This paper mainly intends to verify whether the basic laws of set theory apply in the Neutrosophic Soft Set (NSS). The laws examined in this paper for NSS include Commutative law, Associative law, Distributive law, Involution law, Idempotent law, and Negation law (law of contradiction and law of excluded middle). It has also been illustrated with sufficient examples. In addition, extending that to the hypersoft set, we have proved if H is a Neutrosophic hypersoft Subgroup (NHSSG) of a group G and N is a normal subgroup of G, then HN is a NHSSG of G. |
| format | Article |
| id | doaj-art-f17d7e783c984098b2004ce962ec1019 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-f17d7e783c984098b2004ce962ec10192025-01-30T15:07:13ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-07-015349450410.22105/jfea.2024.422349.1316192837A study on neutrosophic soft set and neutrosophic hypersoft setHema Rengaswamy0Rajeshwari Subramani1Florentin Smarandache2Department of Mathematics, Annamalai University, Annamalainagar-608002 (Deputed To Government Arts and Science College, Nagercoil-629004), Tamilnadu, India.Research Scholar, Annamalai University, Annamalainagar-608002 and Department of Mathematics, Mohamed Sathak A.J College of Engineering, Siruseri IT Park, Chennai-603103 Tamilnadu, India.University of Mexico, 705 Gurley Ave., Gallup, NM 87301, USA.This paper mainly intends to verify whether the basic laws of set theory apply in the Neutrosophic Soft Set (NSS). The laws examined in this paper for NSS include Commutative law, Associative law, Distributive law, Involution law, Idempotent law, and Negation law (law of contradiction and law of excluded middle). It has also been illustrated with sufficient examples. In addition, extending that to the hypersoft set, we have proved if H is a Neutrosophic hypersoft Subgroup (NHSSG) of a group G and N is a normal subgroup of G, then HN is a NHSSG of G.https://www.journal-fea.com/article_192837_70522e7da53a224b4a9e2a76487b05aa.pdfneutrosophic setneutrosophic soft setcomplement setneutrosophic hypersoft set |
| spellingShingle | Hema Rengaswamy Rajeshwari Subramani Florentin Smarandache A study on neutrosophic soft set and neutrosophic hypersoft set Journal of Fuzzy Extension and Applications neutrosophic set neutrosophic soft set complement set neutrosophic hypersoft set |
| title | A study on neutrosophic soft set and neutrosophic hypersoft set |
| title_full | A study on neutrosophic soft set and neutrosophic hypersoft set |
| title_fullStr | A study on neutrosophic soft set and neutrosophic hypersoft set |
| title_full_unstemmed | A study on neutrosophic soft set and neutrosophic hypersoft set |
| title_short | A study on neutrosophic soft set and neutrosophic hypersoft set |
| title_sort | study on neutrosophic soft set and neutrosophic hypersoft set |
| topic | neutrosophic set neutrosophic soft set complement set neutrosophic hypersoft set |
| url | https://www.journal-fea.com/article_192837_70522e7da53a224b4a9e2a76487b05aa.pdf |
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