摘要
文章针对正态分布区间数的多属性决策问题,提出了一种基于包含度和可能度的决策方法。介绍了正态分布区间数的基本概念和运算法则,定义了它的包含度和可能度,并证明了其相关性质;提取正理想对象并结合包含度给出了属性权重的计算公式,同时提出了正态分布区间数的集结方法;利用可能度构造可能度矩阵,利用排序向量法得到最优决策,并通过实例分析验证了该决策方法的可行性和有效性。
A multi-attribute decision making method based on inclusion degree and possibility degree is presented for normal distribution interval number. Firstly, some basic concepts and operations of nor- mal distribution interval number are introduced, and its inclusion degree and possibility degree are de- fined and relevant properties are also proved. Secondly, the calculation formula of attribute weights is given by extracting the positive ideal object with inclusion degree, and an aggregating method for nor- mal distribution interval number is proposed. Finally, the possibility degree matrix is constructed by using possibility degree, and the optimal decision is obtained by ranking vector method, and a practi- cal example is analyzed to verify the feasibility and effectiveness of the proposed method.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第9期1136-1139,共4页
Journal of Hefei University of Technology：Natural Science
基金
安徽省高等学校省级自然科学研究重点资助项目(KJ2013A033)
安徽大学研究生学术创新研究资助项目(01001770-10117700011)
关键词
正态分布区间数
包含度
可能度
集结
决策
normal distribution interval number
inclusion degree
possibility degree
aggregating
de- cision making
