关键词: 群决策, 纯语言, 导出的纯语言有序加权算术平均（IPLOWAA）算子, 风险投资

Abstract: By utilizing some operational laws of pure linguistic variables, this paper proposes an aggregation operator called Induced Pure Linguistic Order Weighted Arithmetic Averaging（IPLOWAA） operator and studies some desirable properties of the IPLOWAA operator. Also, it develops a method of group decision making based on IPLOWAA and PLOWAA operators under multiplicative linguistic preference relations, which is straightforward and takes the known linguistic information into account sufficiently. An illustrative application to risk investment is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Key words: group decision making, pure linguistic information, Induced Pure Linguistic Order Weighted Arithmetic Averaging（IPLOWAA） operator, risk investment