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三角模糊数互补判断矩阵排序新方法
引用本文:王中兴,霍良安,徐玲.三角模糊数互补判断矩阵排序新方法[J].宝鸡文理学院学报(自然科学版),2007,27(1):33-35,57.
作者姓名:王中兴  霍良安  徐玲
作者单位:广西大学,数学与信息科学学院,广西,南宁,530004
摘    要:目的研究解决元素为三角模糊数的互补判断矩阵排序问题的新方法。方法分别比较2个三角模糊数的左、右扩张函数的距离。结果对n个模糊数选择一个基准函数进行n-1次比较,得到方案的排序向量。结论算例说明了所提出的排序方法有效、可行。

关 键 词:三角模糊数  互补判断矩阵  排序  左(右)扩张函数
文章编号:1007-1261(2007)01-0033-03
收稿时间:2006-04-26
修稿时间:2006-04-26

A new ranking method for complementary judgmentmatrix with triangular fuzzy number
WANG Zhong-xin,HUO Liang-an,XU Ling.A new ranking method for complementary judgmentmatrix with triangular fuzzy number[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2007,27(1):33-35,57.
Authors:WANG Zhong-xin  HUO Liang-an  XU Ling
Institution:School Math. inform Sci. , Guangxi University, Naning 530004, Guangxi, China
Abstract:Aim To study new ranking methods of ranking problem on complementary judgment matrix with triangular fuzzy numbers.Method It is presented that an approximate approach for ranking fuzzy number based on dominance of the left and right spreads.Results For ranking n fuzzy numbers,only n-1 comparisons to be done based on the benchmark fuzzy numbers,and the ranking vector is obtained.Conclusion The method is simple and practical.Finally,a numerical example is given to demonstrate the feasibility and efficiency of the approach.
Keywords:triangular fuzzy numbers  complementary judgment matrix  ranking  left and right spreads
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