| 引用本文: | 崔文利, 平轶男**, 王熠, 徐立为.基于梯形二维语言变量相似度的多属性群决策方法(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2017，34（6）：9-15 |
| CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435 |
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| 摘要: |
| 针对评价信息为梯形二维语言变量的多属性群决策问题，提出了一种新的梯形二维语言变量的相似性测度并探讨其性质；基于相似性测度最大化准则构建了两个优化模型以分别求解多属性群决策问题中的专家权重和属性权重，进而提出一种新的基于梯形二维语言变量相似性测度的多属性群决策方法；最后通过实例验证了新方法的合理性和有效性. |
| 关键词: 多属性群决策 梯形二维语言变量；相似度；权重 |
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| Multiple Attribute Group Decision Making Method Based on Similarity Degree of Trapezoidal Two-dimension Linguistic Numbers |
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CUI Wen-li, PING Yi-nan, WANG Yi, XU Li-wei
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| Abstract: |
| With respect to multiple attribute group decision making (MAGDM) problem where the evaluation information is in the form of trapezoidal two dimension linguistic numbers (T-2DLNs), a new similarity measure for T-2DLNs is proposed, and its properties are discussed as well. The two optimization models are constructed to solve experts’ weight and attributes’ weight in MAGDM on the basis of maximizing similarity measure, and then a new MAGDM method via similarity measure for T-2DLNs is presented. Finally, a numerical example indicates that the proposed method is effective and feasible. |
| Key words: multi-attribute group decision making trapezoidal two dimension linguistic numbers similarity degree weight |
