计算机工程与应用 ›› 2013, Vol. 49 ›› Issue (6): 55-58.

• 理论研究、研发设计 • 上一篇    下一篇

IPLOWAA算子及其在风险投资中的应用

李美蓉1,彭  勃2   

  1. 1.合肥师范学院 数学系,合肥 230601
    2.浙江万里学院 数学研究所,浙江 宁波 315100
  • 出版日期:2013-03-15 发布日期:2013-03-14

Induced Pure Linguistic Order Weighted Arithmetic Averaging operator and its application to risk investment

LI Meirong1, PENG Bo2   

  1. 1.Department of Math, Hefei Normal University, Hefei  230601, China
    2.Institute of Mathematics, Zhejiang Wanli University, Ningbo, Zhejiang 315100, China
  • Online:2013-03-15 Published:2013-03-14

摘要: 利用纯语言变量的运算规律,提出了一种信息集成算子:导出的纯语言有序加权算术平均(IPLOWAA)算子,同时对IPLOWAA算子的性质进行了研究。在群体语言偏好关系下,给出了基于IPLOWAA算子和PLOWAA算子的一种群决策方法,该方法计算简洁方便且能充分利用已有的决策信息。将该方法应用在风险投资中,说明该方法的实用性和有效性。

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