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Development of Modified Ratio of Pairwise Comparison for Determining Weighting in AHP

여규동 1 김길호 1 Sang-Won Lee 1

1인하대학교

Accredited

ABSTRACT

It is important that a weighting of assessment elements is exactly estimated for group decision making. The purposes of this study are to analysis the problem for the existing method of weighting estimation and to develop a improved method. To achieve this, we carried out a survey of three types(AHP, direct point allocation, direct pair comparison) on two separate occasions and elicited the relation of interval of scale and weighting from the survey data. Furthermore, we developed the new modified ratio by using the relation of interval of scale and weight as a weighting estimation method. On a comparison result for the weighting of modified ratio and existing ratio, recognized weighting by respondents was closer modified ratio than existing ratio. From the result of analysis for the “Water Quality : Ecology․Landscape”, relative errors of existing ratio(AIJ/AIP) are 21.36%/17.09% and -30.66%/-24.52% and relative errors of modified ratio(AIJ/AIP) are 5.22%/4.40% and -7.49%/-6.31% respectively. By using the modified ratio of scale interval, we can estimate the weighting that the questionnaire respondents consider and clear away the controversy about AIJ and AIP. This study is expected to provide a weighting estimation method that can derive a decision-maker’s intention in many different fields.

Citation status

* References for papers published after 2022 are currently being built.