泛逻辑性模糊集PLF.Sets的知识学习与方法应用  

Knowledge Learning and Method Application of Pan-logical Fuzzy Sets

作　　者：刘玉成 王传生[1] 杨露鑫[2,3] 理查德·丁 Liu Yucheng;Wang Chuansheng;Yang Luxin;Richard.Ding(School of Infonnation,Capital University of Economics and business,Beijing 100070,China;State Key Laboratory,Nanjing University of Finance and Economics,Nanjing 210023,China;Institute of International Economy,University of International Business and Economics,Beijing 100029,China;Kronos Research Institute of Boston,Boston 02101-02117,USA)

机构地区：[1]首都经济贸易大学信息学院,北京100070 [2]南京财经大学国家级重点实验中心,南京210023 [3]对外经济贸易大学国际经济研究院,北京100029 [4]波士顿克罗诺斯研究所,美国波士顿02101-02117

出　　处：《统计与决策》2019年第13期69-73,共5页Statistics & Decision

基　　金：北京市自然科学基金资助项目(9182002);北京市社会科学基金重点项目(18GLA003);全国青年教师教育教学研究课题重点资助课题(2018QNJ001);江苏省现代教育技术研究课题(2017-R-59458)

摘　　要：鉴于综合模糊系统应用中产生的大量复杂运算降低了系统处理的效率,文章一方面优化Zadeh模糊集,以改进模糊系统的性能;另一方面融合中介否定、矛盾否定和对立否定哲学逻辑的知识,以升级模糊判别系统。在证实上述3种否定的基本特征与逻辑关系后,提出了 PLF.Sets泛逻辑性模糊集。将统一选取的实验教学质量评价数据分别输入到PLF.Sets和综合模糊评价模型中运行,最终得到多组不同的仿真数值结果。通过对比分析相应的结果可知,PLF.Sets的实际应用效果存在以下属性:(1)在处理复杂问题时能化繁为简,更具高效性;(2)输出结果有效、合理且准确;(3)哲学逻辑的融入,增强了模糊系统的判断能力,提高了评价精度。The large number of complex operations generated in the application of integrated fuzzy systems reduces the efficiency of system processing. In order to solve the problem, on the one hand, this paper optimizes Zadeh fuzzy set to improve the performance of fuzzy system;On the other hand, it integrates the knowledge of intermediary negation, contradictory negation and opposite negation to upgrade the fuzzy discrimination system. After confirming the basic characteristics and logical relations of the above three negations, the paper innovatively proposes the pan logical fuzzy sets, inputting the uniformly selected experimental teaching quality evaluation data into the PLF. Sets and the comprehensive fuzzy evaluation model respectively to run, and finally obtaining the values of multiple sets of simulation results. Through comparative analysis of the corresponding results, it is found that the actual application effect of PLF. Sets has the following attributes: 1 )In dealing with complex problems it can be simplified with higher efficiency;2) The output results are effective, reasonable and accurate;3 )The integration of philosophical logic enhances the judgment ability of fuzzy system, and improves the evaluation accuracy.

关 键 词：PLF.Sets模糊集 哲学否定 逻辑转化 函数逼近 教学评估 

分 类 号：C931[经济管理—管理学] O213[理学—概率论与数理统计]