摘要
区间语言直觉模糊集以不确定语言词作为隶属度和非隶属度,能更好地处理定性的决策信息,弥补区间直觉模糊集处理定性信息方面的不足。基于区间语言直觉模糊数,定义了区间语言直觉模糊数的汉明距离及信息熵的公式,并针对属性权重未知的多属性决策问题,提出了基于信息熵的客观权重确定方法,并将TOPSIS方法扩展到区间语言直觉模糊集,根据各方案贴近度对每个方案进行排序。最后,通过一个工厂选址的实例证明该方法的有效性和可行性。
Interval-valued linguistic intuitionistic fuzzy numbers（ IVLLFNs）,whose membership and non-membership are represented by interval-valued linguistic terms,can deal with the qualitative decision information better and make up for the deficiency of dealing with the quantitative information in the interval-valued intuitionistic fuzzy numbers. Based on interval-valued linguistic intuitionistic fuzzy numbers,the formulas of Hamming distance and information entropy of interval-valued linguistic intuitionistic fuzzy numbersare are defined,then the objective weights of the attributes are determined by information entropy with respect to multiple attribute decision making problems with unknown weights,and then an extended TOPSIS method is proposed to deal with interval-valued linguistic intuitionistic fuzzy information and ranking of alternatives is produced based on the degree of closeness of each alternative. Finally,an example for site selection is given to demonstrate the effectiveness and feasibility of the proposed method.
作者
刘培德
秦西友
LIU Peide;QIN Xiyou;School of Management Science and Engineering;Shandong University of Finance and Economics;
出处
《经济与管理评论》
CSSCI
北大核心
2018年第3期87-94,共8页
Review of Economy and Management
基金
山东省泰山学者工程专项经费资助(ts201511045)
国家自然科学基金项目"基于中智集的模糊多属性决策理论
方法与应用研究"(71471172)
山东省社会科学规划项目"基于模糊决策理论的城市生态系统健康评价研究"(15BGLJ06)
关键词
区间语言直觉模糊集
区间语言直觉模糊熵
TOPSIS方法
多属性决策
Interval-valued linguistic intuitionistic fuzzy numbers
Interval-valued linguistic intuitionistic fuzzy entropy
TOPSIS method
Multiple attribute decision making
