Synthesizing Comparison Matrices of AHP Under Group Decision

Authors:
Ming-Tao Chou;Hsuan-Shih Lee;Ching-Wu Chu;Chao-Yuan Cheng
Affiliations:
Department of Aviation and Maritime Management, Chang Jung Christian University, Tainan 711, Taiwan;Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung 202, Taiwan;Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung 202, Taiwan;Department of Electrical Engineering, St. John's University, Tamsui, Taipei 251, Taiwan
Venue:
KES '07 Knowledge-Based Intelligent Information and Engineering Systems and the XVII Italian Workshop on Neural Networks on Proceedings of the 11th International Conference
Year:
2007

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Abstract

Tackling multi-criteria decision making problems with AHP, judgements of decision makers are represented by positive reciprocal matrices with ratio judgements representing the preference of a decision maker. In this paper, we are going to propose a new method for aggregating individual ratio judgments into a group consensus. With the aggregation we proposed, the objective weight of each opinion is determined automatically in such a way that it is larger if the opinion is closer to the consensus and lesser otherwise. An iterative procedure is proposed to reach the consensus.