语言迭代算子及其在多准则中的应用

发布时间：2018-10-21 13:30

【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.
[Abstract]:Aiming at the problem that the linguistic aggregation operator can not reflect the discrete degree of variable aggregation, a linguistic mean iteration operator is proposed. Firstly, it is proved by definition that the operator has monotonicity, boundedness and idempotent, then, it is found that the value of mean value iteration operator on anchor set is a random variable, and the discrete degree and concentration degree of operator aggregation can be measured on anchor set. Finally, in the practical application of the multi-criteria, the application formula and the operation steps constructed by the mean iterative operator are given. The limitations of the previous language aggregation operators and the effectiveness of the proposed operators are illustrated by an example.
【作者单位】：辽宁工程技术大学公共管理与法学院;
【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
【分类号】：O177

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