. "Any process that activates or increases the frequency, rate, or extent of natural killer cell mediated immunity." . . . . "positive regulation of natural killer cell mediated immunity" . "activation of natural killer cell mediated immunity" . "positive regulation of natural killer cell activity" . "positive regulation of NK cell activity" . "positive regulation of NK cell mediated immunity" . "stimulation of natural killer cell mediated immunity" . "up regulation of natural killer cell mediated immunity" . "up-regulation of natural killer cell mediated immunity" . "upregulation of natural killer cell mediated immunity" . . . . . .