Anjum Ali SherSP19-RMT-026Dr. Adeel FarooqLHR TP 73472026-05-052021https://repository.cuilahore.edu.pk/123456789/3819In this thesis we have shown that, 1. The (m + 1)-Leibniz algebras are expressible in the form of m-magma. 2. The homomorphic pre-image of a fuzzy ideal of a m-Leibniz algebra is a fuzzy ideal. 3. If S a fuzzy subset of a m-Leibniz algebra A then, (i) S is either a fuzzy subalgebra or a fuzzy ideal of A, (ii) Every nonempty t-level subset U(s, t) is also a fuzzy subalgebra or ideal of A. 4. Homomorphic image of the fuzzy ideal of a m-Leibniz algebra having the supre- mum property is also a fuzzy Leibniz ideal. 5. If A is a m-Leibniz algebra then the maximal normal fuzzy subalgebra of A is a Boolean algebra.enDepartment of MathematicsFA19MathematicsFuzzy AlgebraN-Leibniz AlgebraFuzzy SetsDr. Adeel FarooqThesis