Soft Neutrosophic Loops and Their Generalization
Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N -loop with the discuission of some of their characteristics. We also introduced a new type of...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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University of New Mexico
2014-06-01
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Series: | Neutrosophic Sets and Systems |
Subjects: | |
Online Access: | http://fs.gallup.unm.edu/NSS/Soft%20Neutrosophic%20Loops.pdf |
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author | Mumtaz Ali Christopher Dyer Muhammad Shabir Florentin Smarandache |
author_facet | Mumtaz Ali Christopher Dyer Muhammad Shabir Florentin Smarandache |
author_sort | Mumtaz Ali |
collection | DOAJ |
description | Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N -loop with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic loop, the so called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also found in all the other corresponding notions of soft neutrosophic thoery. We also given some of their properties of this newly born soft structure related to the strong part of neutrosophic theory. |
first_indexed | 2024-12-17T00:30:48Z |
format | Article |
id | doaj.art-16ec642596f14848acfe432a23a91ba0 |
institution | Directory Open Access Journal |
issn | 2331-6055 2331-608X |
language | English |
last_indexed | 2024-12-17T00:30:48Z |
publishDate | 2014-06-01 |
publisher | University of New Mexico |
record_format | Article |
series | Neutrosophic Sets and Systems |
spelling | doaj.art-16ec642596f14848acfe432a23a91ba02022-12-21T22:10:19ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2014-06-0145575Soft Neutrosophic Loops and Their GeneralizationMumtaz Ali0Christopher Dyer1Muhammad Shabir2Florentin Smarandache3Quaid-i-Azam University, Islamabad, PakistanUniversity of New Mexico, USAQuaid-i-Azam University, Islamabad, PakistanUniversity of New Mexico, USASoft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft neutrosophic loop,soft neutosophic biloop, soft neutrosophic N -loop with the discuission of some of their characteristics. We also introduced a new type of soft neutrophic loop, the so called soft strong neutrosophic loop which is of pure neutrosophic character. This notion also found in all the other corresponding notions of soft neutrosophic thoery. We also given some of their properties of this newly born soft structure related to the strong part of neutrosophic theory.http://fs.gallup.unm.edu/NSS/Soft%20Neutrosophic%20Loops.pdfNeutrosophic loopneutrosophic biloopneutrosophic N-loopsoft setsoft neutrosophic loopsoft neutrosophic biloopsoft neutrosophic N-loop |
spellingShingle | Mumtaz Ali Christopher Dyer Muhammad Shabir Florentin Smarandache Soft Neutrosophic Loops and Their Generalization Neutrosophic Sets and Systems Neutrosophic loop neutrosophic biloop neutrosophic N-loop soft set soft neutrosophic loop soft neutrosophic biloop soft neutrosophic N-loop |
title | Soft Neutrosophic Loops and Their Generalization |
title_full | Soft Neutrosophic Loops and Their Generalization |
title_fullStr | Soft Neutrosophic Loops and Their Generalization |
title_full_unstemmed | Soft Neutrosophic Loops and Their Generalization |
title_short | Soft Neutrosophic Loops and Their Generalization |
title_sort | soft neutrosophic loops and their generalization |
topic | Neutrosophic loop neutrosophic biloop neutrosophic N-loop soft set soft neutrosophic loop soft neutrosophic biloop soft neutrosophic N-loop |
url | http://fs.gallup.unm.edu/NSS/Soft%20Neutrosophic%20Loops.pdf |
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