基于优势灰度的变精度粗糙集模型及应用

发布时间：2018-08-10 22:17

【摘要】：由于客观世界的复杂性与不确定性以及人类认知的有限性,现实的决策信息系统总是包括大量的偏好信息、灰色信息、噪声数据,而基于传统粗造集方法难以有效处理。鉴于此,本文利用灰色系统的思想与方法,构建了一种基于优势灰度的变精度粗糙集模型。该方法,利用灰数和灰度的最新研究成果,提出优势灰度的概念,以其确定对象间的优势关系,并将基于优势灰度的优势关系代替变精度粗糙集的不可分辨关系,构建了优势变精度粗糙集模型,最后以实例验证了模型的有效性与适用性。结果表明,通过调整阀值参数,模型具有一定的容错能力,能够有效地提取决策规则,进行科学决策。
[Abstract]:Because of the complexity and uncertainty of the objective world and the limitation of human cognition, the realistic decision information system always includes a lot of preference information, gray information and noise data, but the traditional rough set method is difficult to deal with it effectively. In view of this, a variable precision rough set model based on superior gray level is constructed by using the idea and method of grey system. Using the latest research results of grey number and gray scale, this method puts forward the concept of superior gray scale, and uses it to determine the advantage relation between objects, and replaces the indiscernibility relation of variable precision rough set with advantage relation based on superior gray scale. The advantage variable precision rough set model is constructed. Finally, the validity and applicability of the model are verified by an example. The results show that the model has certain fault-tolerant ability by adjusting the threshold parameters and can effectively extract the decision rules and make scientific decisions.
【作者单位】：江南大学商学院;宾州州立SR大学数学系;南京航空航天大学经济与管理学院;
【基金】：国家自然科学基金资助项目(71503103) 江苏省自然科学基金资助项目(BK20150157) 江苏省社会科学基金项目(14GLC008) 中央高校基本科研业务费专项基金(JUSRP11583,2015JDZD04) 江苏省研究生培养创新工程(SJLX16_0498,KYZZ16_0305)
【分类号】：TP18

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