Abstract: To rise above the "ties" in induced ordering with single variable taken into account, a multi-variable induced ordered weighted averaging (MIOWA) operator is proposed to define inducing variables under special conditions so as to reflect the traits of the values of the argument from different viewpoints. During the bargaining evaluation problem (BEP) characterized with autonomy, an extended two-variable induced ordered weighted averaging operator is defined so as to enable a scheme to embody both its relative and absolute predominance in the aggregation process of multi-attribute information. A programming model is thus developed to maximize a given orness level in accordance to the non-dictatorial negotiation rules of weights to determine the position weighting vector. A numerical example is given to illustrate the feasibility of the method.