| 改进的优劣系数法及其区间数推广 |
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| 引用本文： | 朱方霞,陈华友.改进的优劣系数法及其区间数推广[J].数学的实践与认识,2010,40(5). |
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| 作者姓名： | 朱方霞 陈华友 |
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| 作者单位： | 1. 滁州学院,数学系,安徽,滁州,239000
2. 安徽大学,数学科学学院,安徽,合肥,230039 |
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| 基金项目： | 国家自然科学基金(70571001); 安徽省优秀青年科技基金(08040106835); 安徽大学人才队伍建设资助; 滁州学院应用数学省级本科教学团队建设资助 |
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| 摘 要： | 首先,通过指标的优集合,相持集合和劣集合的定义,改进了优劣系数法中的一致性矩阵和不一致性矩阵的定义,定义使得一致性矩阵和不一致性矩阵具有很好的优良性质,进而使得优劣系数法更加简洁,实用.其次,利用区间数的可能度的性质和相离度的概念将优劣系数法推广到区间数决策问题中来.最后给出了两个算例.
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| 关 键 词： | 多属性决策 改进的优劣系数法 区间数 推广 |
Reform of Good and Bad Coefficient Method and Its Extension to Interval Number |
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| ZHU Fang-xia,CHEN Hua-you.Reform of Good and Bad Coefficient Method and Its Extension to Interval Number[J].Mathematics in Practice and Theory,2010,40(5). |
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| Authors: | ZHU Fang-xia CHEN Hua-you |
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| Institution: | ZHU Fang-xia~1,CHEN Hua-you~2 (1.Department of Mathematics Chuzhou University,Chuzhou 239000,China) (2.School of Mathematics Science Anhui University,Hefei 230039,China) |
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| Abstract: | Through the definition of good assemblage,mutual assemblage and bad assemblage, the paper first reforms the definition of consistent matrix and inconsistent matrix In the good and bad coefficient method.The reformatory definition makes consistent matrix and inconsistent matrix have good quality.And makes the good and bad coefficient method more succinct and practical.Then through the quality of possibility degree for interval number and the concept of deviation degree,the reformatory method was extended to ... |
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| Keywords: | multiple attributes decision making(MADM) reform of good and bad coefficient method interval number extension |
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