基于犹豫直觉模糊语言集均值-标准差偏好距离的多属性决策研究

doi:10.16381/j.cnki.issn1003-207x.2019.01.017

中国管理科学 ›› 2019, Vol. 27 ›› Issue (1): 174-183.doi: 10.16381/j.cnki.issn1003-207x.2019.01.017

基于犹豫直觉模糊语言集均值-标准差偏好距离的多属性决策研究

刘东海¹, 刘原园¹, 陈晓红²

1. 湖南科技大学应用统计系, 湖南湘潭 411201;
2. 湖南商学院湖南省移动电子商务协同创新中心, 湖南长沙 410205

收稿日期:2017-08-06 修回日期:2018-08-23 出版日期:2019-01-20 发布日期:2019-03-25
通讯作者: 刘东海(1980-),男(汉族),湖南湘潭人,湖南科技大学应用统计系硕士生导师,博士,研究方向:决策理论与风险管理,E-mail:donghailiu@126.com. E-mail:donghailiu@126.com
基金资助:
国家自然科学基金重点资助项目（714310006）；国家自然科学青年基金项目（11501191）；湖南省自然科学基金资助项目（2017JJ2096）；国家社科基金资助项目（15BTJ028）

Study on Multiple Attribute Decision Making Based on Mean-Standard Deviation Preference Distance Measure Using Hesitant Intuitionistic Fuzzy Linguisticterm Sets

LIU Dong-hai¹, LIU Yuan-yuan¹, CHEN Xiao-hong²

1. Department of Statistics, Hunan University of Science and Technology, Xiangtan 411201, China;
2. Mobile E-business Collaborative Innovation Center of Hunan Province, Hunan University of Commerce, Changsha 410205, China

Received:2017-08-06 Revised:2018-08-23 Online:2019-01-20 Published:2019-03-25

摘要/Abstract

摘要： 在犹豫直觉模糊语言集和语言尺度函数的基础上定义了均值-标准差偏好的Hamming距离，并提出了基于犹豫直觉模糊语言集距离TOPSIS和TODIM的多属性决策方法，进一步利用这两种方法对实例问题建筑商的招标方案进行排序，并讨论了偏好参数对排序结果的灵敏度分析。为验证上述方法的有效性，与已有方法对同一实例的排序结果进行了比较分析。

关键词: 犹豫直觉模糊语言集, 均值-标准差, 语言尺度函数, TOPSIS方法, TODIM方法

Abstract: In many multi-criteria decision making (MCDM) problems,due to the complexity and fuzziness of the decision making environment, many attributes should be assessed in a quantitative form. In this case, decision makers can't just use single-value linguistic term to express their preferences because they are hesitant with decision information, they often provide the hesitant intuitionistic fuzzy linguistic term set to depict the decision information. As far as we know, existing studies often used the subscript of linguistic terms directly in the process of operations, which can't consider the semantic environment. This may cause information distortion, but the linguistic scale function can solve this problem. Therefore, the Hamming distance of mean-standard deviation with preference between hesitant intuitionistic fuzzy linguistic term set based on linguistic scale function is defined, the related properties are also proved.Then the multiple attribute decision making method of TOPSIS and TODIM is proposed. These two methods can solve the ranking of alternatives effectively in multiple attribute decision making problems. Furthermore, in order to illustrate the feasibility and effectiveness, the same numerical example concerning construction company bidding schemes are sorted by using these two methods. Finally, the sensitivity analysis of the preference parameters on the ranking result and comparision analysis with other method are also discussed.

Key words: hesitant intuitionistic fuzzy linguistic term sets, mean-standard deviation, linguistic scale function, TOPSIS method, TODIM method

中图分类号:

C934

刘东海, 刘原园, 陈晓红. 基于犹豫直觉模糊语言集均值-标准差偏好距离的多属性决策研究[J]. 中国管理科学, 2019, 27(1): 174-183.

LIU Dong-hai, LIU Yuan-yuan, CHEN Xiao-hong. Study on Multiple Attribute Decision Making Based on Mean-Standard Deviation Preference Distance Measure Using Hesitant Intuitionistic Fuzzy Linguisticterm Sets[J]. Chinese Journal of Management Science, 2019, 27(1): 174-183.

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基于犹豫直觉模糊语言集均值-标准差偏好距离的多属性决策研究

Study on Multiple Attribute Decision Making Based on Mean-Standard Deviation Preference Distance Measure Using Hesitant Intuitionistic Fuzzy Linguisticterm Sets

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