论文信息 - Inconsistent and contradictory judgements in pairwise comparison method in the AHP

Inconsistent and contradictory judgements in pairwise comparison method in the AHP

The aim of this paper is to show the relationship between inconsistent and contradictory matrices of data obtained as a result of the pairwise comparison of factors in the sense of the analytic hierarchy process. The consistency check is performed to ensure that judgements are neither random nor illogical. This paper shows that even if a matrix will pass a consistency test successfully, it can be contradictory. Moreover an algorithm of checking contradictions is proposed.

Miroslaw Kwiesielewicz | Ewa van Uden | M. Kwiesielewicz | E. V. Uden

[1] William J. Hurley,et al. Transitive calibration of the AHP verbal scale , 1999, Eur. J. Oper. Res..

[2] Stanislav Karapetrovic,et al. A quality control approach to consistency paradoxes in AHP , 1999, Eur. J. Oper. Res..

[3] T. Saaty,et al. The Analytic Hierarchy Process , 1985 .

[4] Luis G. Vargas,et al. Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios , 1984 .

[5] Catherine K. Murphy,et al. LIMITS ON THE ANALYTIC HIERARCHY PROCESS FROM ITS CONSISTENCY INDEX , 1993 .

[6] James J. Buckley,et al. Fuzzy hierarchical analysis revisited , 2001, Eur. J. Oper. Res..

[7] Evangelos Triantaphyllou,et al. USING THE ANALYTIC HIERARCHY PROCESS FOR DECISION MAKING IN ENGINEERING APPLICATIONS: SOME CHALLENGES , 1995 .

[8] Evangelos Triantaphyllou,et al. Multi-criteria Decision Making Methods: A Comparative Study , 2000 .

[9] J. Buckley,et al. Fuzzy hierarchical analysis , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).