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We studied the correction of the quantum tunneling radiation of fermions withspin $1/2$ in Kerr Anti-de-Sitter black hole. First, the dynamic equation ofspin $1/2$ fermions was corrected using Lorentz's violation theory. Second, thenew expressions of the fermions quantum tunneling rate, the Hawking temperatureof the black hole and the entropy of the black hole were obtained according tothe corrected fermions dynamic equation. At last, some comments are made on theresults of our work.

Lorentz symmetry violation and the tunneling radiation of fermions with spin $1/2$ for Kerr Anti-de-Sitter black hole