基于核和灰度的区间灰数型灰色聚类模型  

Grey clustering model for interval grey numbers based on kernel and degree of greyness

作　　者：党耀国[1] 冯宇[1] 丁松[1] 魏龙[1] DANG Yao-guo FENG Yu DING Song WEI Long(College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China)

机构地区：[1]南京航空航天大学经济与管理学院,南京211106

出　　处：《控制与决策》2017年第10期1844-1848,共5页Control and Decision

基　　金：国家自然科学基金项目(71071077;71371098);中央高校基本科研业务费专项资金项目(NC2012001;NR2013033);江苏高校哲学社会科学重点研究基地重大项目(2012JDXM005);江苏省社会科学基金重点项目(16GLA001)

摘　　要：对传统灰色聚类模型进行延拓,考虑了观测值和白化权函数转折点为区间灰数的情形.通过"核"和灰度来表征区间灰数,以"灰度不减公理"作为理论依据,给出区间灰数型白化权函数的表达式,并将聚类过程中区间灰数运算转化为实数运算,进而建立灰色定权聚类模型.最后将该模型应用于南京市江宁区高新技术企业核心竞争力的聚类评估中,说明了所提出方法的有效性和实用性.The traditional grey clustering model based on the real numbers is extended to the condition in which the observation values and the turning points of the whitenization weight function are the interval grey numbers. By representing the interval grey number based on ＂kernel＂and degree of greyness, and using the ＂unreduced axiom of degree of greyness＂as the theory basis, the expression of whitenization weight function with interval grey number is given, and the interval grey number operation is transformed into real number operation, then the grey fixed weight clustering model is established. Finally, the interval grey clustering model is used to evaluate the core competencies of high tech enterprises in Jiangning District of Nanjing. The result shows that the model is effective and reasonable.

关 键 词：灰色聚类 区间灰数 白化权函数 核及灰度 

分 类 号：N945.1[自然科学总论—系统科学]