Single-Valued Neutrosophic Lie Algebras
Received:July 31, 2018  Revised:December 10, 2018
Key Word: Single-valued neutrosophic sets   Lie ideals   Lie algebras  
Fund ProjectL:
Author NameAffiliation
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 
Hits: 68
Download times: 80
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
View Full Text  View/Add Comment  Download reader