The AMIBCP PCI steering information has a more complete set of information compared to the AWARD one. This means that the AMI BIOS is more table-driven whereas the AWARD one has some of the information in code provided from the chipset manufacturer.
Basically, the PCI interrupt steering information tells you, how the four PCI interrupt input pins of the chipset are wired to the four interrupt pins on each slot, and possibly also onboard devices. Devices are respresented in a different way: The AMI BIOS has all device numbers multiplied by eight, so the numbers 40, 48, 50, 58, 38 (all hex) are also expressable as 8, 9, A, B, 7 (hex again). It seems your Award editor confuses things a bit and displays the device numbers as "IRQ#". Device 38 / 7 is the south bridge, which contains the IDE controller, and two of its interrupt pins are hardwired to IRQ14 / IRQ15 and don't take part in the steering at all. INT C is not connected. INT D is either for the USB or the power management controller and is managed by interrupt steering.
The four interrupt inputs of the chipset are identified by the index of the configuration register (60..63) in the AMI table, and just by number (1..4) in the Award table. The first line of the AMI dump tells you that on bus #0 (interrupts on other busses are routed through bridges, and don't need explicit steering information, that's why Award doesn't care about bus numbers in the table), the device 40h / 8 has INTA connected to the interrupt input pin managed by configuration register 60 (Award would call it "1"). INTB is connected to the pin managed by register 61 (Award "2"), INTC is connected to the pin managed by register 62 (Award "3") and INTD is connected to the pin managed by register 63 (Award 4). This device ID is assigned to the slot labelled 1. In Award format, this line would thus be: "slot 1: 'IRQ' 8, INTA 1, INTB 2, INTC 3, INTD 4".
It seems the Award and the AMI BIOS tables don't match, so they seem to be for different mainboards. If you want to convert from AMI to Award, you can be quite sure that the Award "INTx" numbers are 1,2,3,4 in the same sequence as the configuration register numebers used in the AMI BIOS. If you want to convert from Award to AMI, you need to look up the configuration register numbers for your south bridge (e.g. in a chipset data sheet or an AMI BIOS for a board with the same south bridge). The bitmap value indicates which interrupts may be assigned to a pin. It doesn't really make sense the for the same configuration register, e.g. 60h, the mask is stored multiple times. Obviously, the mask is always the same in your BIOS, and this is the most common configuration found in PCs anyhow. The mask in your screenshot indicates IRQs 3,4,5,7,9,10,11,12,14,15 assignable to PCI. The BIOS takes care of onboard serial/parallel ports, the PS/2 port and the onbaord IDE automatically, so if these ports are enabled, the remaining assignable IRQs are 5,9,10,11. No need to bother with this, though. Unless you have strong reasons to change it, the mask in the screenshot (DEB8) is fine for any typical PC mainboard.