基于二元语义的不确定性多属性决策的4种集成算子  

Four aggregation operators for uncertain multiple attribute decision making based on 2-tuple linguistic information

作　　者：张爱萍[1] 涂振坤[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2013年第4期506-512,共7页Journal of Hefei University of Technology：Natural Science

摘　　要：由于二元语义的排序方法不能处理结果之间相互包含的情况,因此在不确定性语言环境下,文章给出了区间二元语义[20,21]的新的排序方法,并给出了不确定性二元组的4种集成算子,即不确定性语言二元组几何平均算子、不确定性语言二元组加权几何算子、不确定性语言二元组有序加权几何平均算子及不确定性语言二元组混合集成算子,4种集成算子解决了对集成结果只有细微差别时难以评价优劣的问题,并研究了算子的基本性质,通过应用实例对其实用性及优越性给出证明。The comparison rule of 2-tuple linguistic information can not match the situation that one re- sult contains another result, so under the uncertain linguistic environment, a new comparison rule is given to the interval 2-tuple（the uncertain linguistic 2-tuple） [20,21]. Besides, four aggregation oper- ators of the uncertain linguistic 2-tuple are put forward, namely the uncertain linguistic 2-tuple geo- metric mean operator, the uncertain linguistic 2-tuple weighted geometric aggregation operator, the uncertain linguistic ordered weighted geometric aggregation operator and the uncertain linguistic hy- brid geometric aggregation operator. The four aggregation operators can tell apart the tiny difference of results. The properties of the operators are studied and through an example the practicability and superiority of them are also proved.

关 键 词：集成 不确定性语言 二元语义 不确定性二元组 区间二元语义 

分 类 号：C931.1[经济管理—管理学]