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基于核和灰度的区间灰数运算法则
引用本文:刘思峰,方志耕,谢乃明.基于核和灰度的区间灰数运算法则[J].系统工程与电子技术,2010,32(2):313-316.
作者姓名:刘思峰  方志耕  谢乃明
作者单位:(南京航空航天大学灰色系统研究所, 江苏 南京 210016)
基金项目:国家自然科学基金,教育部博士学科点专项科研基金,人文社会科学规划基金,江苏省高等学校优秀创新团队基金,南京航空航天大学创新群体,特聘教授科研创新基金(1009-260812)资助课题 
摘    要:区间灰数运算是灰色系统的理论基础,对灰色系统理论发展的影响举足轻重。首先给出了灰数“核”的定义,基于“核”和灰数灰度建立了区间灰数运算公理、运算法则和新的灰代数系统,并研究了运算性质。至此,灰数运算被转化为实数运算,区间灰数运算的难题在一定程度上得到解决。定义的区间灰数运算可以推广到以区间灰数为基本元素的灰色代数方程、灰色微分方程、灰色矩阵运算的情形,而且有助于由于受到区间灰数运算困难的制约一直进展缓慢的灰色投入产出和灰色规划等方面的研究。

关 键 词:区间灰数  “核”灰度  运算法则

Algorithm rules of interval grey numbers based on the Kernel and the degree of greyness of grey numbers
LIU Si-feng,FANG Zhi-geng,XIE Nai-ming.Algorithm rules of interval grey numbers based on the Kernel and the degree of greyness of grey numbers[J].System Engineering and Electronics,2010,32(2):313-316.
Authors:LIU Si-feng  FANG Zhi-geng  XIE Nai-ming
Institution:(Inst. for Grey Systems, Nanjing Univ. of Aeronautics and Astronautics, Nanjing  210016, China)
Abstract:The algorithm of interval grey numbers is the theoretical basis of a grey system theory.It has very important significance in developing the grey system theory.A definition of Kernel is given first.Algorithm axioms,algorithm rules of interval grey numbers and new algebraic systems are built based on the Kernel and the degree of greyness of grey numbers.And the properties of the algorithm are studied.Up to now,the algorithm of interval grey numbers are transformed to the algorithm of real numbers,so the diff...
Keywords:interval grey numbers  "Kernel"  the degree of greyness of grey numbers  algorithm rules
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