On consistency of the weighted geometric mean complex judgement matrix in AHP. (English) Zbl 0990.90072

Xu, Ze Shui

Eur. J. Oper. Res. 126, No. 3, 683-687 (2000).

Summary: The weighted geometric mean method (WGMM) is the most common group preference aggregation method in the Analytic Hierarchy Process. This paper reports on research concerning the consistency of WGMM and proves that the weighted geometric mean complex judgement matrix (WGMCJM) is of acceptable consistency. According for [T. L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York (1980; Zbl 0587.90002)], a consistency ratio (CR) of 0.1 or less is acceptable under the condition that all judgement matrices given by experts for the same problem of decision-making are of acceptable consistency. Accordingly, a theoretic basis has been developed for the application of the WGMM in group decision making.

MSC:

90C08	Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.)
90C29	Multi-objective and goal programming

Keywords:

analytic hierarchy process; judgement matrices; consistency

Citations:

Zbl 0587.90002

References:

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