4. IBMM for Missing Data Estimation

In Chap. 3, the induced bias matrix is proposed to identify the inconsistent elements in a complete pairwise comparison matrix (PCM). Besides inconsistency, a PCM may be incomplete due to limited expertise or unwillingness to judge. For an incomplete pairwise comparison matrix (IPCM), the missing values must first be estimated in order for the IPCM to be useful. The revised PCM needs to pass the consistency test. For this purpose, we have extended the IBMM to estimate the missing values in an IPCM (Ergu et al. 2011c). The revised PCM with the estimated values by IBMM is shown to satisfy the consistency requirement. In this Chapter, the details of IBMM for missing data estimation in AHP/ANP are comprehensively addressed.