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三角模糊数互补判断矩阵排序新方法

A new ranking method for complementary judgment matrix with triangular fuzzy number
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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。 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.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2007年第1期33-35,57,共4页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词 三角模糊数 互补判断矩阵 排序 左(右)扩张函数 triangular fuzzy numbers complementary judgment matrix ranking left and right spreads
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