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TRIZ
Theory of Inventive Problem Solving
There are a few decent lectures on TRIZ (Teoriya Resheniya Izobreatatelskikh Zadach) but these two below are the most comprehensive that break down the method in detail with some nice visual aids.
The concept was invented by Soviet engineer, Genrikh Altshuller, who was also an inventor with his first patent at the age of 14 and began his early career as a clerk in a patent office.
Like many problem solving tools, the intent is to base the decision on knowledge, facts, and historical experience rather than subjective opinions or intuition.
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