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基于二次规划的不确定语言多属性决策方法
发表时间：2010-07-15 浏览量：1723 下载量：726
| 全部作者： | 杨扬，吴广谋，丁德臣 |
| 作者单位： | 东南大学经济管理学院 |
| 摘 要： | 研究属性权重完全未知且属性值以不确定语言变量形式给出的不确定语言多属性决策问题。首先给出不确定语言变量的运算法则，以及不确定语言变量之间比较的可能度公式，定义了不确定语言变量的相离度概念。基于加权属性值离差平方最大，建立二次规划模型，求解该模型得到权重公式。然后利用不确定语言加权平均(uncertain linguistic weight average, ULWA)算子，对不确定语言决策信息进行加权集成，并利用可能度公式构造可能度矩阵(互补判断矩阵)，继而利用互补判断矩阵排序公式对决策方案进行排序和择优。最后给出实例分析。 |
| 关 键 词： | 决策理论；多属性决策；不确定语言变量；二次规划；可能度 |
| Title： | Methods of uncertain linguistic multiple decision making based on quadratic programming |
| Author： | YANG Yang, WU Guangmou, DING Dechen |
| Organization： | School of Economics and Management, Southeast University |
| Abstract： | The paper studies multiple attribute decision making, in which the information about attribute weight is unknown completely and the attribute values take the form of uncertain linguistic variables. Operational laws of uncertain linguistic variables and a formula of possibility degree for the comparison between uncertain linguistic variables were introduced. The concept of deviation degree between uncertain linguistic variables was defined. A quadratic programming model was developed, which could be used to determine the attribute weights. The uncertain linguistic weighting average (ULWA) operator was utilized to aggregate the uncertain linguistic variables corresponding to each alternative. A possibility degree matrix (complementary judgment matrix) was constructed by the formula of possibility degree. The alternatives were ranked by using the priority formula of complementary judgment matrixes and the most desirable one(s) was selected. Finally, an illustrative example was given to high light the procedure of the proposed algorithm. |
| Key words： | decision making theory; multiple attribute decision making; uncertain linguistic variables; quadratic programming; possibility |
| 发表期数： | 2010年7月第13期 |
| 引用格式： | 杨扬，吴广谋，丁德臣. 基于二次规划的不确定语言多属性决策方法[J]. 中国科技论文在线精品论文，2010，3（13）：1330-1335. |
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