You seem to think VISA and Mastercard have the desire to reduce fraud,  they dont.  They have a desire to reduce their liability.<p>PCI DSS is largely a marketing ploy, and way for them to shift liability from banks and the network to the merchants.<p>As a security standard PCI DSS is terrible<p>Further storing card numbers is not a violation of PCI-DSS, it would be impossible for them require that as reoccurring billing, auto-pay, etc have a requirement for the PAN to be stored.<p>Look at Amazon, it stores my card number,  in full, so I can checkout with out having to reenter it every time