语言迭代算子及其在多准则中的应用  

Mean iterative operator for linguistic and application during multi criteria determination

作　　者：岳立柱[1] 李良琼 YUE Li-zhu LI Liang-qiong(School of Public Administration and Law, Liaoning Technical University, Fuxin 123000, China)

机构地区：[1]辽宁工程技术大学公共管理与法学院,辽宁阜新123000

出　　处：《控制与决策》2017年第6期1143-1147,共5页Control and Decision

基　　金：辽宁省教育厅基金项目(LJCR010);辽工大第四批生产技术问题创新研究基金项目

摘　　要：针对语言集结算子不能反映变量集结的离散程度问题,提出语言均值迭代算子.首先,通过定义证明该算子具有单调性、有界性和幂等性;然后,发现均值迭代算子在锚定集上的取值为一随机变量,在锚定集上能够测量算子集结的离散程度和集中程度;最后,在多准则的实际应用中,给出由均值迭代算子构造的应用公式和操作步骤.通过实例分析,说明了以往语言集结算子的局限性以及所提出算子的有效性.For the problem that the lingnistic aggregation operater can＇t reflect degree of dispersion about variable, the linguistic mean iterative operator is presonted. Firstly, it is proven that the operator is monotonic, bounded, idempotent by definition. Then, it is discovered that the value of mean iterative operator on the set of thd anchor is random. It can be measured that the degree of central tendency and dispersion of index polymerization on the set of the anchor. Ffinally, in the practical application of the multi criteria determination, the application formula and the operation steps are given by using the mean iteration operator. The limitations of the previous language aggregation operators and the effectiveness of the proposed operators are illustrated by an example.

关 键 词：集结函数 多准则决策 评价集 语言变量 

分 类 号：C934[经济管理—管理学]