English

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

Optimization and Control 2016-07-28 v1 Artificial Intelligence

Abstract

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.

Cite

@article{arxiv.1607.08116,
  title  = {A DEMATEL-Based Completion Method for Incomplete Pairwise Comparison Matrix in AHP},
  author = {Xinyi Zhou and Yong Hu and Yong Deng and Felix T. S. Chan and Alessio Ishizak},
  journal= {arXiv preprint arXiv:1607.08116},
  year   = {2016}
}

Comments

29 pages

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