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As I said, check for yourself if you dont believe it.
On another character wearing the full Solitude set only adds up to 35ish when it should be higher given the values on the pieces. I clearly remember the values used to add up, so it is a change, either an intended "shadow nerf" or a bug.
As per your example:
Black Knife Hood 3.8
Black Knife Chest 11.4
Fire Prelate Gauntlets 4.9
Fire Prelate Greaves 11.1
Let us assume 0 DR at base, which counts as 100% damage taken. 100% = 1.0
It is calculated as follows:
1 x 0.962 x 0.886 x 0.951 x 0.889
Which comes to 0.7205947... -- leaving you with a DR of 27.9405...
From what I remember they had always some weird calculations. I also haven’t noticed taking more damage.
When you have 27.9405 damage reduction, and you use a 20% Damage Reduction buff; you still receive a full 20% damage reduction - this would raise you to 33.53 Damage Reduction.
This is barely over 5% total damage reduction on paper, whereas if you were naked with 0 DR and cast the spell it would give you a full 20% total damage reduction.
The MISTAKE that people make is in thinking that stacking these damage reduction bonuses makes them less effective, but it DOES NOT.
Let's imagine I cast a 50% damage reduction spell at 0 DR and at 50 DR. My DR will increase by 50% of its current value, so regardless of whether the buff gives me 50 DR or 25 DR, it will always increase the number of hits required to kill me by double compared to my DR prior to casting. In other words, the direct impact of the spell on my survivability is exactly the same in every instance.