杂合灰色聚类与变精度粗糙模糊集的概率决策方法及应用  

Probabilistic Decision Method and Application Based on the Hybrid Model of Grey Clustering and Variable Precision Rough Fuzzy Set

作　　者：刘勇[1] 菅利荣[1] Jeffrey.Forrest 刘思峰[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京211106 [2]宾州州立SR大学数学系,宾夕法尼亚pa16057

出　　处：《管理工程学报》2013年第3期110-115,123,共7页Journal of Industrial Engineering and Engineering Management

基　　金：国家社科基金重点资助项目(08AJY024);教育部人文社科基金资助项目(09YJA630067);国家自然科学基金资助项目(70901041;7117111;71173104)

摘　　要：在基于粗糙集理论或扩展粗糙集理论的不确定性决策中,仅由数据集无法获得决策表,同时由于决策属性呈现模糊性,以致于难以获取概率决策规则。针对这一类决策问题,基于灰色定权聚类与优势粗糙集变精度方法,本文构建了一种的杂合决策方法。该方法首先利用中心点三角白化权函数的灰色定权聚类方法将包含不同量纲指标的知识表示系统生成多属性决策表,而后运用变精度粗糙模糊集进行决策分析,生成概率决策规则,最后以区域关键技术的选择为例,表明该模型的可行性与实用性。Facing today＇ s fiercely competitive market, businesses or individuals often encounter complex decision making concerning uncertainty, and need to analyze and deal with various uncertainties such as randomness, fuzziness, preferences, roughness and greyness. However, only a theory or method based on soft computing technology can handle many uncertain decision-making problems. Some soft computing technologies, such as rough set theory, the grey system theory, fuzzy set theory and their complementary advantages, can be used to flexibly deal with uncertainties in real life. A new mathematic tool is needed to deal with inaccurate, inconsistent and incomplete information. The rough set theory possesses its advantages, disadvantages and the scope of application, and has difficulties in dealing with some uncertain decision-making problems. Therefore, according to the variety of uncertainties in the practical application of knowledge representation systems the advantages of the rough set theory with those of other soft technology theories can be integrated to build a more powerful hybrid method of soft decision making, broaden the scope of the rough set theory application, and provide a wide range of scientific and standard methods for making decisions about uncertainties. This paper proposes a novel hybrid probabilistic decision approach based on the center triangle whitenization weight function with fixed weight and variable precision rough fuzzy set. This approach can help solve decision-making problems when decision tables cannot be generated from the data, decision attributes possess fuzziness, and probabilistic decision rules can＇ t be obtained in many uncertain practical decisions based on rough set models or extensions of rough set model. The proposed method is applied to the selection of regional key technology, and the results show that the method can be feasible and practical. In the first part, some problems, such as the grey comprehensive clustering based on the center triangle whitenization weight fu

关 键 词：三角白化权函数 灰色聚类 变精度粗糙模糊集 概率决策规则 

分 类 号：C934[经济管理—管理学]