The best replacement for decomposition is synthesis.

The best alternatives to decomposition are rated as following:

★★★★★	synthesis
★★★	metathesis
★★	synthesis reaction
★	deposition
★	nucleation and growth
★	decay
★	gauss elimination
	combustion
	separation
	dissociation
	nucleation
	object oriented
	synthesis reactions

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Speaking about decomposition, one probably shouldn't forget about subtraction.

Other search terms related to decomposition and their ratings are:

★★★★★	subtraction
★★★★★	partial pivoting
★	gauss elimination

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decomposition

synthesis

metathesis