Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers
In this paper, we explore the algebra structure based on neutrosophic quadruple numbers. Moreover, two kinds of degradation algebra systems of neutrosophic quadruple numbers are introduced. In particular, the following results are strictly proved: (1) the set of neutrosophic quadruple numbers with a...
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Online Access: | https://www.mdpi.com/2073-8994/11/5/696 |
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doaj-9a76de131efd4d12a9122fd80bdab9d72020-11-24T21:26:38ZengMDPI AGSymmetry2073-89942019-05-0111569610.3390/sym11050696sym11050696Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple NumbersQiaoyan Li0Yingcang Ma1Xiaohong Zhang2Juanjuan Zhang3School of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaSchool of Arts and Sciences, Shaanxi University of Science & Technology, Xi’an 710021, ChinaSchool of Science, Xi’an Polytechnic University, Xi’an 710048, ChinaIn this paper, we explore the algebra structure based on neutrosophic quadruple numbers. Moreover, two kinds of degradation algebra systems of neutrosophic quadruple numbers are introduced. In particular, the following results are strictly proved: (1) the set of neutrosophic quadruple numbers with a multiplication operation is a neutrosophic extended triplet group; (2) the neutral element of each neutrosophic quadruple number is unique and there are only sixteen different neutral elements in all of neutrosophic quadruple numbers; (3) the set which has same neutral element is closed with respect to the multiplication operator; (4) the union of the set which has same neutral element is a partition of four-dimensional space.https://www.mdpi.com/2073-8994/11/5/696neutrosophic extended triplet groupneutrosophic quadruple numbersneutrosophic set |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Qiaoyan Li Yingcang Ma Xiaohong Zhang Juanjuan Zhang |
spellingShingle |
Qiaoyan Li Yingcang Ma Xiaohong Zhang Juanjuan Zhang Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers Symmetry neutrosophic extended triplet group neutrosophic quadruple numbers neutrosophic set |
author_facet |
Qiaoyan Li Yingcang Ma Xiaohong Zhang Juanjuan Zhang |
author_sort |
Qiaoyan Li |
title |
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers |
title_short |
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers |
title_full |
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers |
title_fullStr |
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers |
title_full_unstemmed |
Neutrosophic Extended Triplet Group Based on Neutrosophic Quadruple Numbers |
title_sort |
neutrosophic extended triplet group based on neutrosophic quadruple numbers |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2019-05-01 |
description |
In this paper, we explore the algebra structure based on neutrosophic quadruple numbers. Moreover, two kinds of degradation algebra systems of neutrosophic quadruple numbers are introduced. In particular, the following results are strictly proved: (1) the set of neutrosophic quadruple numbers with a multiplication operation is a neutrosophic extended triplet group; (2) the neutral element of each neutrosophic quadruple number is unique and there are only sixteen different neutral elements in all of neutrosophic quadruple numbers; (3) the set which has same neutral element is closed with respect to the multiplication operator; (4) the union of the set which has same neutral element is a partition of four-dimensional space. |
topic |
neutrosophic extended triplet group neutrosophic quadruple numbers neutrosophic set |
url |
https://www.mdpi.com/2073-8994/11/5/696 |
work_keys_str_mv |
AT qiaoyanli neutrosophicextendedtripletgroupbasedonneutrosophicquadruplenumbers AT yingcangma neutrosophicextendedtripletgroupbasedonneutrosophicquadruplenumbers AT xiaohongzhang neutrosophicextendedtripletgroupbasedonneutrosophicquadruplenumbers AT juanjuanzhang neutrosophicextendedtripletgroupbasedonneutrosophicquadruplenumbers |
_version_ |
1725978346683105280 |