The Approximate Threshold of Additive Consistency Index for Fuzzy Complementary Judgment Matrix

摘要：

With the uncertainty and constraints,decision makers cannot provide exact number to express their preferences. They would like use fuzzy number to do that. There are researches on geometric consistency index for reciprocal judgment matrix and the threshold of it. There also exist papers focusing on judging and ranking method for fuzzy complementary judgment matrix with additive consistency.However, few researches are focusing on additive consistency index and its threshold.This paper discusses properties of additive consistency and satisfied consistency of fuzzy complementary judgment matrix. Then, we construct fuzzy complementary judgment matrices with satisfied consistency and compute the consistency index of these matrices and analyze them using MATLAB. Therefore, the approximate threshold of consistency index is calculated. Meanwhile, two examples are used to illustrate it.

关键词： Additive consistency index threshold fuzzy complementary judgment matrix.

作者: Xixiang Zhang Jing Lei Baoan Yang

作者单位: Glorious Sun School of Business and Management Donghua University Shanghai, China PhD. Candidate, Glorious Sun School of Business and Management Donghua University Shanghai, China Shanghai Business School Shanghai, China

会议类型: 国际会议

会议名称: 2007 Conference on Systems Science, Management Science and System Dynamics(第二届系统科学、管理科学与系统动力学国际会议)

会议地点: 上海

会议语种:英文

页码: 2961-2966

在线出版日期: 2007-10-19（万方平台首次上网日期，不代表论文的发表时间）