| 基于期望值的模糊互补判断矩阵的排序方法 |
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| 引用本文： | 曾三云,龙君.基于期望值的模糊互补判断矩阵的排序方法[J].吉首大学学报(自然科学版),2014,35(6):24-28. |
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| 作者姓名： | 曾三云 龙君 |
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| 作者单位： | （1.吉首大学数学与统计学院，湖南 吉首 416000；2.吉首大学民族预科教育学院，湖南 吉首 416000） |
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| 基金项目： | 国家自然科学基金资助项目，湖南省教育厅科学研究项目 |
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| 摘 要： | 研究了决策信息以模糊变量形式给出的互补判断矩阵的排序问题，给出了模糊互补判断矩阵与加型模糊一致性互补判断矩阵的概念及相关性质，进而提出一种模糊互补判断矩阵排序的中转法.首先基于期望值将模糊互补判断矩阵转化为加型模糊一致性互补判断矩阵，从而求得其排序向量，进而对决策方案进行排序和择优.
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| 关 键 词： | 模糊互补判断矩阵 期望值 排序 中转法 |
A Priority Method for Fuzzy Complementary Judgment Matrix Based on Expected Value |
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| ZENG Sanyun,LONG Jun.A Priority Method for Fuzzy Complementary Judgment Matrix Based on Expected Value[J].Journal of Jishou University(Natural Science Edition),2014,35(6):24-28. |
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| Authors: | ZENG Sanyun LONG Jun |
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| Institution: | (1.College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China;2.School of Preparatory Education for Minority Nationalities,Jishou University,Jishou 416000,Hunan China) |
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| Abstract: | The priority problem of complementary judgment matrix,in which the decision information is given in the form of fuzzy variables,is studied.It presents the concepts of fuzzy complementary judgment matrix and fuzzy additive consistency judgment matrix and their properties.Then a universal priority method is developed.This method can not only solve the priority problem of complementary judgment matrix that the decision information is given in the form of special fuzzy numbers,such as interval number,triangular fuzzy number,and trapezoidal fuzzy number,but also can solve the priority problem of complementary judgment matrix that the decision information is given in the form of general fuzzy variables. |
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| Keywords: | fuzzy complementary judgment matrix expected value priority middle transfer method |
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