Uniformity on the preference information on alternatives in multiple attribute decision making

This paper investigates the multiple attribute decision making (MADM) problem with preference information on alternatives, in which multiple decision makers (DMs) can give their preference information in different representation forms. The following representation forms are provided for the DMs to express their preference information on alternatives, i.e., preference orderings, utility value vector, fuzzy preference relation, selected subset, fuzzy selected subset, normal preference relation, linguistic term vector, and pairwise comparison. Using fuzzy set theory, these preference representation forms are uniformed and aggregated. To select the most acceptable alternative, the quantifier guided dominance degree (QGDD) and the quantifier guided non-dominance degree (QGNDD) for each alternative are calculated.