@article {10.3844/ajassp.2005.633.643, article_type = {journal}, title = {Extended IOWG Operator and its Use in Group Decision Making Based on Multiplicative Linguistic Preference Relations}, author = {Xu, Zeshui}, volume = {2}, year = {2005}, month = {Mar}, pages = {633-643}, doi = {10.3844/ajassp.2005.633.643}, url = {https://thescipub.com/abstract/ajassp.2005.633.643}, abstract = {In [1], Xu and Da introduced the Induced Ordered Weighted Geometric (IOWG) operator, which takes as its argument pairs, called OWG 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 study, we develop an extended IOWG (EIOWG) operator, in which the second components are linguistic variables. We study some desirable properties of the EIOWG operator, and then apply the EIOWG operator to group decision making based on multiplicative linguistic preference relations.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }