Group consensus measurement in MADM with multiple preference formats

Abstract

An approach is proposed for measuring the group consensus in multiple attribute decision-making (MADM) problems with experts’ various preference information on alternatives. In the approach, multiple decision-makers give their preference information on alternatives in different formats. The uniformities and aggregation process with fuzzy majority method are employed to obtain the social fuzzy preference relation on the alternatives. Accordingly, the ranking values of the alternatives are obtained based on the obtained individual expert’s fuzzy preference relation, and the social one. The group consensus can be measured based on the ranking values of the alternatives that are derived from the individual expert’s preference information and the social one. An example of selecting robots is presented as an illustration.

Keywords:

• multiple attribute decision-making
• preference information
• fuzzy preference relation
• ranking values
• group consensus

Acknowledgement

This research is supported by The Natural Science Foundation of Liaoning Province ‘Hybrid multicriteria group decision making with various forms of information expression’ with grant number [2013020022].

Disclosure statement

No potential conflict of interest was reported by the authors.