An article in iSixSigma magazine points out the basic similarities and differences between DFSS and DMAIC. It is a well written article which explains highly technical term in layman’s language. The DMAIC methodology is almost universally recognized and defined as comprising of the following five phases: Define, Measure, Analyze, Improve and control. DFSS is the acronym for Design For Six Sigma. Unlike the DMAIC methodology, the phases or steps of DFSS are not universally recognized or defined. 

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http://www.isixsigma.com/new-to-six-sigma/design-for-six-sigma-dfss/design-six-sigma-dfss-versus-dmaic/