| Muhammad AKRAM,Hina GULZAR,岑嘉评.Single-Valued Neutrosophic Lie Algebras[J].数学研究及应用,2019,39(2):141~152 |
| Single-Valued Neutrosophic Lie Algebras |
| Single-Valued Neutrosophic Lie Algebras |
| 投稿时间：2018-07-31 修订日期：2018-12-10 |
| DOI：10.3770/j.issn:2095-2651.2019.02.003 |
| 中文关键词: Single-valued neutrosophic sets Lie ideals Lie algebras |
| 英文关键词:Single-valued neutrosophic sets Lie ideals Lie algebras |
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| 中文摘要: |
| A single-valued neutrosophic (SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We develop the concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals. |
| 英文摘要: |
| A single-valued neutrosophic (SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We develop the concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals. |
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