| 时序模糊多指标决策的模糊关联分析法 |
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| 引用本文： | 宋业新,陈永冰,张曙红,陈绵云.时序模糊多指标决策的模糊关联分析法[J].系统工程理论与实践,2003,23(1):116-120. |
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| 作者姓名： | 宋业新 陈永冰 张曙红 陈绵云 |
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| 作者单位： | (1)海军工程大学基础部;(2)华中科技大学控制科学与工程系 |
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| 基金项目： | 国家自然科学基金 (79970 0 2 5 )，国防科技预研基金 (0 0 J1 5 .3 .3 .JW0 5 2 8) |
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| 摘 要： | 提出了时序模糊多指标决策问题 ,基于模糊关联分析给出了一种新的决策方法 .运用模糊集理论构建各时段的模糊加权决策矩阵 ,应用一种对模糊数排序的方法找出各时段的正、负理想方案 ,并通过所有时段各方案与正理想方案的相对模糊关联度的模糊加权和来确定最优方案 .最后给出了一个数值例子.
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| 关 键 词： | 模糊多指标决策 时序 模糊关联度 梯形模糊数 |
| 文章编号： | 1000-6788(2003)01-0116-05 |
| 修稿时间： | 2000年12月28 |
Fuzzy Relational Degree Analysis Method for Fuzzy MCDM with Time Series |
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| SONG Ye\|xin\\{\},CHEN Yong\|bing\,ZHANG Shu\|hong\,CHEN Mian\|yun\.Fuzzy Relational Degree Analysis Method for Fuzzy MCDM with Time Series[J].Systems Engineering —Theory & Practice,2003,23(1):116-120. |
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| Authors: | SONG Ye\|xin\\{\} CHEN Yong\|bing\ ZHANG Shu\|hong\ CHEN Mian\|yun\ |
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| Institution: | (1)Dept of Basic Courses, Naval Univ of Engineering;(2)Dept of Control Science and Engineering, Huazhong Univ of Sci & Tech |
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| Abstract: | The problem of fuzzy multiple criteria decision making (FMCDM) with time series is proposed, and based on fuzzy relational degree analysis, a new decision making method is presented in this paper. The theory of fuzzy set is used to construct weighted suitability decision matrix for every period. The positive and negative ideal solution of each period are then obtained by using a method of ranking of fuzzy numbers. The fuzzy weighted values of the relative fuzzy relational degrees of every alternatives versus various positive ideal solution of different period are calculated and ranked to determine the best alternative. Finally, an example is provided to illustrate the proposed method. |
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| Keywords: | fuzzy MCDM time series fuzzy relational degree analysis trapezoidal fuzzy numbers |
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