Fuzzy Lie Structures Over a Fuzzy Field

  • Muhammad AkramEmail author
Part of the Infosys Science Foundation Series book series (ISFS)


In this chapter, we present the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. We characterize the Artinian and Noetherian Lie algebras by considering their fuzzy Lie ideals over a fuzzy field. We describe \((\in , \in \vee ~ q_m)\)-fuzzy Lie subalgebras over a fuzzy field. We discuss vague Lie subalgebras over a vague field. We also present anti-fuzzy Lie sub-superalgebras over anti-fuzzy field.

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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of the PunjabLahorePakistan

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