Fuurinkazan battle strategies were a specialty of Federation civilian strategist Kyle Riker who once advised Starfleet on the strategies while stationed at Tokyo Base. Starfleet was so pleased with Riker's work that he became a tactical adviser to that organization after completing his work at Tokyo. (TNG: "The Icarus Factor")
The term is likely a reference to the battle standard used by Takeda Shingen, a Japanese general quoting Sun Tzu's "The Art of War". "Move as swift as wind, [be] as orderly as [the] forest, [be] as fierce as [the] fire, [and be] as unshakeable as [the] mountain."