| Single-Valued Neutrosophic Lie Algebras |
| Received:July 31, 2018 Revised:December 10, 2018 |
| Key Words:
Single-valued neutrosophic sets Lie ideals Lie algebras
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| Fund Project: |
| Author Name | Affiliation | | Muhammad AKRAM | Department of Mathematics, University of the Punjab, New Campus, Lahore-54590, Pakistan | | Hina GULZAR | Department of Mathematics, University of the Punjab, New Campus, Lahore-54590, Pakistan | | Kar Ping SHUM | Institute of Mathematics, Yunnan University, Yunan 650091, P. R. China |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.02.003 |
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