单值中智语言环境下的TODIM决策方法

doi:10.3969/j.issn.1000-1565.2019.06.001

河北大学学报(自然科学版) ›› 2019, Vol. 39 ›› Issue (6): 561-567.DOI: 10.3969/j.issn.1000-1565.2019.06.001

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单值中智语言环境下的TODIM决策方法

郭子雪, 孙方方

收稿日期:2019-03-27 出版日期:2019-11-25 发布日期:2019-11-25
作者简介:郭子雪(1964—),男,河北清河人,河北大学教授,博士生导师,主要从事决策理论与方法、物流与供应链管理方向研究. E-mail: guo_zx@163.com
基金资助:
河北省社科基金资助项目(HB18GL008)

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

GUO Zixue, SUN Fangfang

College of Management, Hebei University, Baoding 071002, China

Received:2019-03-27 Online:2019-11-25 Published:2019-11-25

摘要/Abstract

摘要： 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.

关键词: 单值中智语言集, 语言变量, 交互式多属性决策(TODIM), 优势度

Abstract: 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.

Key words: single-valued neutrosophic linguistic set, linguistic variable, TODIM method, dominance degree

中图分类号:

C934

郭子雪, 孙方方. 单值中智语言环境下的TODIM决策方法[J]. 河北大学学报(自然科学版), 2019, 39(6): 561-567.

GUO Zixue, SUN Fangfang. A TODIM decision making method in single-valued neutrosophic linguistic environment[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(6): 561-567.

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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

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