| Fuzzy Lie algebras has many applications in fuzzy mathematics. As a generalization offuzzy Lie algebras, fuzzy Leibniz algebras is studied in this paper. First, we give its definitionand some basic properties, show that the similar relation fuzzy partition of fuzzy Leibnizalgebras is one to one correspondence. Then, we give some important properties of solvable(nilpotent) ideal for fuzzy Leibniz algebras and get the relations between fuzzy compatiblerelation and fuzzy partition. Finally, we study the adjoint representation, Killing type andradicals of fuzzy Leibniz algebras. |
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