(is an element of, is an element of boolean OR q)-fuzzy Lie subalgebra and ideals
Lie algebras are so-named in honor of Sophus Lie, a Norwegian mathematician who pioneered the study of these mathematical objects. Lie's discovery was tied to his investigation of continuous transformation groups and symmetries. The structure of the laws in physics is largely based on symmetries. The objects in Lie theory are fundamental, interesting and innovating in both mathematics and physics. It has many applications to the spectroscopy of molecules, atoms, nuclei and hadrons. Our aim in this paper is to introduce and study a new sort of fuzzy Lie subalgebra (ideal) of a Lie algebra called (is an element of, is an element of boolean OR q)-fuzzy Lie subalgebra (ideal). These fuzzy Lie subalgebras (ideals) are characterized by their level ideals. Finally, we give a generalizationof (is an element of, is an element of boolean OR q)-fuzzy Lie subalgebras (ideals).
(is an element of, is an element of boolean or q)-fuzzy lie subalgebra fuzzy lie subalgebra lie algebra fuzzy set fuzzy point level set