单值中智语言环境下的TODIM决策方法

A TODIM decision making method in single-valued neutrosophic linguistic environment

基于决策过程中属性值信息的不确定性以及决策者对收益与损失风险态度的差异,提出了单值 中智语言环境下的交互式多属性决策方法(TODIM).首先,利用单值中智语言集量化属性值信息中的不确 定度并进一步地描述属性值信息;其次,基于改进后的语言标度函数定义了单值中智语言数的距离测度和集 结算子;在此基础上,通过标准差计算属性权重,依据TODIM 方法计算各方案的全局优势度并排序;最后, 通过节能服务公司的选择案例验证了该方法的可行性与有效性.

Based on the uncertainty of attribute value information and the different risk attitudes of decision-makers towards gain and loss, an extended TODIM(an acronym in Portuguese of interactive and multi-criteria decision making) under single-valued neutrosophic linguistic environment is proposed. First, the uncertainty in attribute value information can be quantified directly by using single-valued neutrosophic language set. Second, based on the extended language scale function, the distance measure and aggregator of single-valued neutrosophic linguistic numbers are defined. Based on these, weights are calculated by standard deviation and ranks are obtained by the TODIM method. Finally, the practical application process of the proposed method is illustrated by the case of energy-saving service company selection, which verifies the feasibility and effectiveness of the method.