Abstract: The analytic network process (ANP) is an efficient multiple criteria decision method to deal with complex decisions. However,the existing ANP with consideration of BOCR merit factors does not always yield correct ordering of alternatives and indication of profitability,due to the fact that different hierarchies or networks produce weights on different derived ratio scales which are usually not commensurate. To overcome the above drawbacks,this paper proposes a new ANP meatsynthesis method with respect to BOCR merits,based on data envelopment analysis. When estimating each weight for four BOCR factors, we adopt the means of swing weighting to reflect the inaccuracy and fuzziness of a decision-making. Applied to a specific example,the suggested approach is validated to be suitable to real world ranking problems for complex systems.

Key words: data envelopment analysis(DEA), analytic network process (ANP), benefits,opportunities costs and risks(BOCR), metasynthesis