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arxiv: 1607.08116 · v1 · pith:KKQO76G3new · submitted 2016-07-23 · 🧮 math.OC · cs.AI

A DEMATEL-Based Completion Method for Incomplete Pairwise Comparison Matrix in AHP

classification 🧮 math.OC cs.AI
keywords matrixmethodcomparisonpairwiseproposedcompletionincompleterelation
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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.

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