Fusion of individual preference orderings in an ordinal semidemocratic decision-making framework

This contribution focuses on the problem of combining multi-agent preference orderings of different alternatives into a single consensus fused ordering, when the agents’ importance is expressed through a rank-ordering and not a set of weights. An enhanced version of the algorithm proposed by Yager in (Fuzzy Sets and Systems, 117(1): 1-12, 2001) is presented. The main advantages of the new algorithm are that: (i) it better reflects the multi-agent preference orderings and (ii) it is more versatile, since it admits preference orderings with omitted or incomparable alternatives. The description of the new algorithm is supported by a realistic example.