区间数伴语言变量的多属性云模型决策方法研究  

Research on Multi-attribute Decision Making Approach with Interval Numbers and Linguistic Variables Based on the Cloud Model

作　　者：周金明[1,2] 苏为华[1] 曾守桢[3] ZHOU Jin-ming SU Wei-hua ZENG Shou-zhen(School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China School of Business, Ningbo University, Ningbo 315211, China)

机构地区：[1]浙江工商大学统计与数学学院,浙江杭州310018 [2]安徽工程大学数理学院,安徽芜湖241000 [3]宁波大学商学院,浙江宁波315100

出　　处：《数学的实践与认识》2016年第20期156-164,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71671165);金融工程研发中心开放基金项目(JRGCKF201506);安徽省高等学校自然科学研究一般项目(TSKJ2015B22);浙江省高等学校人文社科重点研究基地(统计学)(JYTtjrc2015202)

摘　　要：针对伴语言变量的区间数多属性决策问题,给出了一种基于云模型的决策方法.方法将云模型和区间数相结合对方案进行模糊综合决策,由语言变量生成对应的云模型,决策者无须给定每朵云的特征.通过云规则进行区间数云转换,结合云模型转化后的区间数进行可能度分析,得到决策方案的排序.通过空袭目标威胁评估实例说明了方法的合理性和有效性.A decision making approach for hybrid multi-attribute based on cloud model is proposed in this paper. This method integrates the cloud model and interval numbers for fuzzy comprehensive decision making. Interval numbers are used instead of cloud features preset by decision makers; but the cloud model is generated corresponding to the linguistic values. Interval value conversion is carried out following the cloud rule. The possibility degree is analyzed with the interval value transformation through the cloud model. Finally, we have the ranking of decision making cases. An example of air attack threat assessment shows that the method is valid and the result is reliable.

关 键 词：云模型 可能度 区间数 多属性决策 

分 类 号：O225[理学—运筹学与控制论]