Modification of algorithm rules of interval grey numbers based on kernel and degree of greyness of grey numbers

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (23): 28-30.

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Modification of algorithm rules of interval grey numbers based on kernel and degree of greyness of grey numbers

ZENG Meilan1，2, GAO Mingmei2，3

1.College of Mathematics and Statistics, Hubei Engineering University, Xiaogan, Hubei 432000, China
2.College of Economics & Management, Nanjing University of Aeronautics & Astronautics, Nanjing 211106, China
3.College of Mathematics, Qingdao University, Qingdao, Shandong 266071, China

Online:2015-12-01 Published:2015-12-14

基于核与灰度的区间灰数运算法则的修正

曾梅兰1，2，高明美2，3

1.湖北工程学院数学与统计学院，湖北孝感 432000
2.南京航空航天大学经济与管理学院，南京 211106
3.青岛大学数学科学学院，山东青岛 266071

Abstract

Abstract: With respect to the limitations of the greyness axiom, it revises the algorithm rules of interval grey numbers-addition, subtraction and multiplication, which based on the kernel and the degree of greyness of grey numbers. Theorem 2 and examples show that the modified algorithm of interval grey numbers is more reasonable. An example is used to illustrate the application of the new grey numbers algorithms in multiple attribute decision making.

Key words: interval grey numbers, kernel, degree of greyness of grey numbers, algorithm rules

摘要： 针对灰度不减公理的局限性，对基于核和灰度的灰数加、减和数乘运算法则进行了修正。定理2和实例表明修正后的灰数运算法则更具合理性，并给出了新的灰数运算法则在多属性决策中的应用。

关键词: 区间灰数, 核, 灰度, 运算法则

ZENG Meilan1，2, GAO Mingmei2，3. Modification of algorithm rules of interval grey numbers based on kernel and degree of greyness of grey numbers[J]. Computer Engineering and Applications, 2015, 51(23): 28-30.

曾梅兰1，2，高明美2，3. 基于核与灰度的区间灰数运算法则的修正[J]. 计算机工程与应用, 2015, 51(23): 28-30.

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Modification of algorithm rules of interval grey numbers based on kernel and degree of greyness of grey numbers

基于核与灰度的区间灰数运算法则的修正

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