A hedge is an investment strategy used to attempt to offset any potential losses.
One way an investor can do this is to either sell futures on a stock they own, stating they will sell that stock at a certain price. A partial hedge is a hedge that partially covers your stock position, but not all of it. An investor might undertake a partial hedge if they are concerned about the risk of their position, but still want to be able to benefit from possible upward movement. A neutral hedge is a strategy that combines positions across various investments in order to generate risk-free return on investments even if there are small changes in the underlying assets.