A DEMATEL-Based Completion Method for Incomplete Pairwise Comparison Matrix in AHP
This incremental method addresses a specific issue in multi-criteria decision-making for users of AHP.
The paper tackled the problem of incomplete pairwise comparison matrices in AHP by proposing a DEMATEL-based completion method, which estimates missing values with explicit physical meaning and low computational cost.
Pairwise comparison matrix as a crucial component of AHP, presents the prefer- ence relations among alternatives. However, in many cases, the pairwise comparison matrix is difficult to complete, which obstructs the subsequent operations of the clas- sical AHP. In this paper, based on DEMATEL which has ability to derive the total relation matrix from direct relation matrix, a new completion method for incomplete pairwise comparison matrix is proposed. The proposed method provides a new per- spective to estimate the missing values with explicit physical meaning. Besides, the proposed method has low computational cost. This promising method has a wide application in multi-criteria decision-making.