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语义标度等级矩阵及其应用
发表时间：2011-05-31 浏览量：1641 下载量：732
| 全部作者： | 董玉成 |
| 作者单位： | 西安交通大学管理学院；西安交通大学智能网络与网络安全教育部重点实验室 |
| 摘 要： | 提出语义标度等级矩阵的概念，通过计算决策者给出的初始语义标度等级矩阵与权向量语义标度等级矩阵的差距，比较几种常见的数值标度（Ma-Zhang标度、指数标度、Salo标度、Saaty标度）；也比较了正互反与正互补2类成对比较矩阵。在此基础上，进一步建立一个评估框架，该框架把决策者给出初始语义标度等级矩阵到最终获取权向量的过程分解成标度编码、数据处理、标度解码3部分，应用这一框架就能系统地对获取权向量每个步骤及其对应的大量方法进行比较评估。 |
| 关 键 词： | 决策科学；层次分析法；语义标度等级矩阵；数值标度；成对比较矩阵；评估框架 |
| Title： | Semantic scale gradation matrix and its applications |
| Author： | DONG Yucheng |
| Organization： | School of Management, Xi’an Jiaotong University; State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University |
| Abstract： | The concept of the semantic scale gradation matrix is presented in the paper. Applying this concept, the difference of initial semantic scale gradation matrix given by decision makers and weight vector semantic scale gradation matrix is calculated. and a simulation is designed. It not only can compare different numerical scales (Ma-Zhang scale, power scale, Salo scale, Saaty scale), but also compare two kinds of pairwise comparison matrices (reciprocal matrix and complementary matrix). Based on this, an evaluation framework is introduced further, which resolve the course of obtaining the priority vector from a semantic scale gradation matrix given by decision makers into three parts including scale coding, data processing and scale decoding, thereby systematically evaluating all methods in any step of obtaining the weight vector. |
| Key words： | decision science; analytic hierarchy process; semantic scale gradation matrix; numerical scale; pairwise comparision matrix; evaluation framework |
| 发表期数： | 2011年5月第10期 |
| 引用格式： | 董玉成. 语义标度等级矩阵及其应用[J]. 中国科技论文在线精品论文，2011，4（10）：874-881. |
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