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具有模糊信息的多目标指派问题求解
A Method for Solving the Multi-objective Assignment Problem with Fuzzy Information
【摘要】 针对具有模糊信息的多目标指派问题提出了一种求解方法。首先利用专家意见通过模糊算法集结模糊综合效益矩阵 ,然后利用一种对模糊数排序的方法 ,将问题转化为传统的单目标指派问题 ,从而用著名的匈牙利算法求解。最后给出了一个数值例子。
【Abstract】 A new method for solving the multi-objective assignment problem with fuzzy information is presented in this paper. At first,employing experts opinion using fuzzy numbers and linguistic variables,the fuzzy synthetical evaluation value matrix is aggregated using fuzzy arithmetic. Then, by using a method of ranking of fuzzy numbers, the problem can be converted to the classical assignment problem which can be solved by Hungary algorithm. At last, a numerical example illustrates the proposed method.
【关键词】 模糊数;
模糊算法;
多目标指派问题;
匈牙利算法;
【Key words】 Fuzzy Numbers; Fuzzy Algorithm; Multi-objective Assignment Problem; Hungary Algorithm;
【Key words】 Fuzzy Numbers; Fuzzy Algorithm; Multi-objective Assignment Problem; Hungary Algorithm;
【基金】 国家自然科学基金资助项目! ( 79970 0 2 5) ;国防科技预研基金项目! ( 98J6.3.4 .JW0 50 7)
- 【文献出处】 系统工程 ,Systems Engineering , 编辑部邮箱 ,2001年01期
- 【分类号】F224.31
- 【被引频次】29
- 【下载频次】401