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...

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Main Authors: Mumtaz Ali, Christopher Dyer, Muhammad Shabir, Florentin Smarandache
Format: Article
Language:English
Published: University of New Mexico 2014-06-01
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.
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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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