基于联系数的三角模糊数多属性决策新模型

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (10): 2399-2403.

基于联系数的三角模糊数多属性决策新模型

刘秀梅¹, 赵克勤², 王传斌¹

1. 连云港师范高等专科学校数学系, 江苏, 连云港, 222006;
2. 浙江诸暨联系数学研究所, 浙江, 诸暨, 311811

收稿日期:2008-08-12 修回日期:2009-03-16 出版日期:2009-10-20 发布日期:2010-01-03
作者简介:刘秀梅(1963- ),女,副教授,主要研究方向为联系数学.E-mail:lyglxm21@163.com
基金资助:
连云港师范高等专科学校校级课题

New multiple attribute decision-making model with triangular fuzzy numbers based on connection numbers

LIU Xiu-mei¹, ZHAO Ke-qin², WANG Chuan-bin¹

1. Dept. of Mathematics, Lianyungang Teacher's Coll., Lianyungang 222006, China;
2. Zhuji Inst. of Connection Mathematics, Zhuji 311811, China

Received:2008-08-12 Revised:2009-03-16 Online:2009-10-20 Published:2010-01-03

摘要/Abstract

摘要： 针对属性值和属性权重都用三角模糊数表示的多属性决策问题,提出了一种基于联系数的三角模糊数多属性决策评价模型.通过运用集对分析的不确定性系统理论,利用三角模糊数的中值及上下确界所限定的取值区间,将三角模糊数转化为联系数,建立了联系数决策模型,并给出决策步骤,基于此可以对多属性决策评价问题进行排序.该模型的建立既考虑了三角模糊数的中值,又兼顾了三角模糊数的上下确界,即联系数的差异度,更具有客观性.通过对实例的运用和分析表明,该方法算理清晰,计算简便,结论合理.

Abstract: To study the fuzzy multiple attribute decision-making problem that the attribute weights and the attribute values are both indicated in the forms of triangular fuzzy numbers,a method to solve fuzzy multi-attribute decision-making problem denoted by triangular fuzzy numbers based on connection number is presented.By applying the uncertainty systems theory in the set-pair-analysis,the median,and the interval of values prescribed by supremum and infimum of the triangular fuzzy numbers,the triangular fuzzy numbers are transformed into connection numbers,and the program of making is given.The median and the supremum and infimum of the triangular fuzzy numbers are used in the model,it is more objective.A practical example indicates the method is simple and credible.

中图分类号:

刘秀梅, 赵克勤, 王传斌. 基于联系数的三角模糊数多属性决策新模型[J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2399-2403.

LIU Xiu-mei, ZHAO Ke-qin, WANG Chuan-bin. New multiple attribute decision-making model with triangular fuzzy numbers based on connection numbers[J]. Journal of Systems Engineering and Electronics, 2009, 31(10): 2399-2403.

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