Abstract:

The group decision making problem with linguistic pref-
erence relations is studied.The concept of additive consistent
linguistic preference relation is defined,and then some properties
of the additive consistent linguistic preference relation are studied.
In order to rank the alternatives in the group decision making with
the linguistic preference relations,the weighted average is first
utilized to combine the group linguistic preference relations to one
linguistic preference relation,and then the transformation function
is proposed to transform the linguistic preference relation to the
multiplicative preference relation,and thus the Saaty’s eigenvec-
tor method(EM)of multiplicative preference relation is utilized to
rank the alternatives in group decision making with the linguistic
preference relations.Finally,an illustrative numerical example is
given to verify the proposed method.A comparative study to the
linguistic ordered weighted averaging(LOWA)operator method is
also demonstrated.