Extended IOWA Operator and ITS Application to Group Decision Making with Linguistic Preference Information

The induced ordered weighted averaging (IOWA) operator takes as its argument pairs, called OWA pairs, in which one component is used to induce an ordering over the second components which are exact numerical values and then aggregated. In this paper, we develop an extended IOWA (EIOWA) operator, in which the second components are linguistic variables, and develop an extended OWA (EOWA) operator, which is a special case of the EIOWA operator. We then apply the EIOWA and EOWA operators to group decision making with linguistic preference information