Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments

doi:10.1016/S1004-4132(06)60021-2

Journal of Systems Engineering and Electronics ›› 2006, Vol. 17 ›› Issue (1): 115-120.doi: 10.1016/S1004-4132(06)60021-2

• SYSTEMS ENGINEERING • Previous Articles Next Articles

Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments

Wan Yucheng ^{1 ' 2} , Ma Baoguo ² & Sheng Zhaohan 3

1. Management School, China Univ. of Mining and Technology, Xuzhou 221008, P. R. China;
2. Dept. of Air Materiel, Xuzhou Air Force College, Xuzhou 221002, P. R. China;
3. School of Management Science and Engineering, Nanjing Univ. , Nanjing 210093, P. R. China

Online:2006-03-24 Published:2019-12-19

Abstract

Abstract:

The ranking problem is studied when the pairwise comparisons values are uncertain in the analytic hierarchy process (AHP). The method of constructing the judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. By turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.

Key words: AHP, uncertainty, unascertained rational number, attribute judgment matrix

Wan Yucheng, Ma Baoguo& Sheng Zhaohan. Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments[J]. Journal of Systems Engineering and Electronics, 2006, 17(1): 115-120.

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Ranking method for the reciprocal judgment matrix based on the unascertained three-valued judgments

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