| Vague集距离的比较与改进 |
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| 引用本文： | 周珍,吴祈宗.Vague集距离的比较与改进[J].系统工程学报,2007,22(5):486-491. |
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| 作者姓名： | 周珍 吴祈宗 |
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| 作者单位： | 1. 首都师范大学数学系,北京,100037
2. 北京理工大学管理与经济学院,北京,100081 |
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| 基金项目： | 北京市教委科技面上资助项目 |
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| 摘 要： | 回顾了vague集已有的距离定义,通过例子说明现有的距离定义在有些情况不适用,并且分析了现有vague集距离定义的不足,充分利用vague集的本质含义,给出了vague集之间距离的新定义,分析证明了所给vague集的距离定义与现有距离定义之间的关系,最后通过例子说明了新方法的合理性与有效性.
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| 关 键 词： | fuzzy集 vague集 距离 |
| 文章编号： | 1000-5781（2007）05-0486-06 |
| 收稿时间： | 2006-03-27 |
| 修稿时间： | 2006-12-26 |
Comparison and improvement of distances between vague sets |
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| ZHOU Zhen,WU Qi-zong.Comparison and improvement of distances between vague sets[J].Journal of Systems Engineering,2007,22(5):486-491. |
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| Authors: | ZHOU Zhen WU Qi-zong |
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| Institution: | 1. Department of Mathematics, Capital Normal University, Beijing 100037, China; 2. School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | In this paper,some existing measures of distance are reviewed.By some examples,it is indicated that some existing distance measures do not fit well in some cases.At the same time,several new distances measures are proposed and the relationships between some distance measures are proved.A comparison is made to show the proposed distance measures are more reasonable than some existing distance measures in general cases. |
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| Keywords: | fuzzy sets vague sets distance measures |
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