Abstract
In this chapter, we present properties of certain concepts, including interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, interval-valued intuitionistic fuzzy Lie ideals, fully invariant and characteristic interval-valued intuitionistic fuzzy Lie ideals, solvable, nilpotent interval-valued intuitionistic fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras.
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