Vulcanization is the combination of various ingredients with the rubber under controlled heat to create a flexible elastomer.
Rubber that is not vulcanized is usually hard under low temperature and very soft at high temperature. Un-vulcanized rubber is also "tacky", and when stretched, deforms very easily. Un-vulcanized rubber shows "plasticity" as opposed to "elasticity".
Vulcanization corrects these defects while greatly increasing the tensile strength of the rubber.