In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved...In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.展开更多
A new adaptive Type-2 （T2） fuzzy controller was developed and its potential performance advantage over adaptive Type-1 （T1） fuzzy control was also quantified in computer simulation. Base on the Lyapunov method, th...A new adaptive Type-2 （T2） fuzzy controller was developed and its potential performance advantage over adaptive Type-1 （T1） fuzzy control was also quantified in computer simulation. Base on the Lyapunov method, the adaptive laws with guaranteed system stability and convergence were developed. The controller updates its parameters online using the laws to control a system and tracks its output command trajectory. The simulation study involving the popular inverted pendulum control problem shows theoretically predicted system stability and good tracking performance. And the comparison simulation experiments subjected to white noige or step disturbance indicate that the T2 controller is better than the T1 controller by 0--18%, depending on the experiment condition and performance measure.展开更多
Adaptive Type-2 fuzzy control possesses control performance better than the traditional adaptive fuzzy control.However,heavy computation burden obviously blocks the utilization of adaptive Type-2 fuzzy control in indu...Adaptive Type-2 fuzzy control possesses control performance better than the traditional adaptive fuzzy control.However,heavy computation burden obviously blocks the utilization of adaptive Type-2 fuzzy control in industrial application.By adopting novel piecewise fuzzy sets and center-average type-reduction,a simplified adaptive interval Type-2 fuzzy controller involving less computation is developed for practical industrial application.In the proposed controller,the inputs are divided into several subintervals and then two piecewise fuzzy sets are used for each subinterval.With the manner of piecewise fuzzy sets and a novel fuzzy rules inference engine,only part of fuzzy rules are simultaneously activated in one control loop,which exponentially decreases the computation and makes the controller appropriate in industrial application.The simulation and experimental study,involving the popular magnetic levitation platform,shows the predicted system with theoretical stability and good tracking performance.The analysis indicates that there is far less computation of the proposed controller than the traditional adaptive interval Type-2 fuzzy controller,especially when the number of fuzzy rules and fuzzy sets is large,and the controller still maintains good control performance as the traditional one.展开更多
目的探讨三酰甘油葡萄糖乘积(triglyceride-glucose index,TyG)指数和血浆致动脉粥样硬化指数(atherogenic index of plasma,AIP)与老年冠心病(coronary heart disease,CHD)合并2型糖尿病(type 2 diabetes mellitus,T2DM)患者冠状动脉...目的探讨三酰甘油葡萄糖乘积(triglyceride-glucose index,TyG)指数和血浆致动脉粥样硬化指数(atherogenic index of plasma,AIP)与老年冠心病(coronary heart disease,CHD)合并2型糖尿病(type 2 diabetes mellitus,T2DM)患者冠状动脉正性重构的关系。方法按照住院先后顺序选取2022年1月至2023年6月河南科技大学第一附属医院心血管内科收治的老年CHD合并T2DM患者120例,根据重构指数分为正性重构组47例和非正性重构组73例。比较2组临床资料;采用多因素logistic回归分析冠状动脉正性重构的危险因素;采用Spearman相关性分析TyG和AIP与冠状动脉正性重构的相关性;采用ROC曲线分析TyG和AIP对冠状动脉正性重构的预测价值。结果正性重构组吸烟、三酰甘油、糖化血红蛋白、TyG、AIP显著高于非正性重构组,高密度脂蛋白胆固醇、血钙水平显著低于非正性重构组(P<0.05,P<0.01)。单因素logistic回归分析显示,吸烟、三酰甘油、高密度脂蛋白胆固醇、糖化血红蛋白、血钙、TyG、AIP是老年CHD合并T2DM患者冠状动脉正性重构的危险因素(P<0.05,P<0.01)。多因素logistic回归分析显示,TyG(OR=7.253,95%CI:2.458~13.364,P=0.035)、AIP(OR=6.017,95%CI:2.205~12.025,P=0.030)是老年CHD合并T2DM患者冠状动脉正性重构的独立危险因素(P<0.05)。TyG、AIP预测老年CHD合并T2DM患者冠状动脉正性重构的曲线下面积分别为0.783、0.766,联合预测老年CHD合并T2DM患者冠状动脉正性重构的曲线下面积为0.868,显著优于单独预测(P<0.05)。结论TyG和AIP与老年CHD合并T2DM患者冠状动脉正性重构密切相关,可作为预测冠状动脉正性重构的有效指标,对临床早期识别高危患者及制定个体化干预策略具有重要意义。展开更多
目的了解中老年2型糖尿病(type 2 diabetes mellitus,T2DM)患者少肌性肥胖(sarcopenic obesity,SO)患病率及不同诊断方法之间的一致性。方法采用系统随机抽样法选取2016年1月至2018年3月于北京地区9家医院内分泌科就诊的≥50岁T2DM患者...目的了解中老年2型糖尿病(type 2 diabetes mellitus,T2DM)患者少肌性肥胖(sarcopenic obesity,SO)患病率及不同诊断方法之间的一致性。方法采用系统随机抽样法选取2016年1月至2018年3月于北京地区9家医院内分泌科就诊的≥50岁T2DM患者,使用生物阻抗法进行身体成分检测;根据2022年欧洲临床营养与代谢学会(European Society for Clinical Nutrition and Metabolism,ESPEN)和欧洲肥胖研究协会(European Association for the Study of Obesity,EASO)方法定义SO,另外3种方法通过肌少症和肥胖的组合进行诊断。肌少症使用2019年亚洲肌少症工作组(Asian Working Group for Sarcopenia,AWGS)建立的标准来定义,肥胖通过体脂(percent of body fat,PBF)、腰围(waist circumference,WC)和体质量指数(body mass index,BMI)来定义。卡方检验进行率的比较,Cohens kappa统计分析比较4种方法的诊断一致性。结果共纳入1125例T2DM受试者,男性586例,年龄[61.2(55.3,67.4)]岁;女性539例,年龄[62.0(56.3,68.1)岁]。使用ESPEN/EASO共识、AWGS+PBF、AWGS+WC和AWGS+BMI标准,中老年T2DM患者SO患病率分别为41.6%、20.4%、30.1%和18.8%。4种方法之间的诊断一致性存在异质性(κ:0.109~0.655)。ESPEN/EASO共识与AWGS+PBF诊断一致性良好(κ:0.655),AWGS+体脂与AWGS+BMI诊断一致性良好(κ:0.637),AWGS+WC与AWGS+BMI(κ:0.359)、与AWGS+PBF诊断一致性中等(κ:0.330)。结论中老年T2DM患者SO患病率高,患病率和诊断一致性在不同诊断方法中存在差异,ESPEN/EASO的共识诊断率最高,AWGS+BMI诊断率最低,ESPEN/EASO共识与AWGS+体脂具有良好的诊断一致性。展开更多
基金supported by the National Natural Science Foundation of China(7137115670971017)the Research Grants Council of the Hong Kong Special Administrative Region,China(City U112111)
文摘In order to measure the uncertain information of a type- 2 intuitionistic fuzzy set （T21FS）, an entropy measure of T21FS is presented by using the constructive principles. The proposed entropy measure is also proved to satisfy all of the constructive principles. Further, a novel concept of the type-2 triangular in- tuitionistic trapezoidal fuzzy set （T2TITrFS） is developed, and a geometric interpretation of the T2TITrFS is given to comprehend it completely or correctly in a more intuitive way. To deal with a more general uncertain complex system, the constructive principles of an entropy measure of T2TITrFS are therefore proposed on the basis of the axiomatic definition of the type-2 intuitionisic fuzzy entropy measure. This paper elicits a formula of type-2 triangular intuitionistic trapezoidal fuzzy entropy and verifies that it does sa- tisfy the constructive principles. Two examples are given to show the efficiency of the proposed entropy of T2TITrFS in describing the uncertainty of the type-2 intuitionistic fuzzy information and illustrate its application in type-2 triangular intuitionistic trapezodial fuzzy decision making problems.
基金Project(51005253) supported by the National Natural Science Foundation of ChinaProject(2007AA04Z344) supported by the National High Technology Research and Development Program of China
文摘A new adaptive Type-2 （T2） fuzzy controller was developed and its potential performance advantage over adaptive Type-1 （T1） fuzzy control was also quantified in computer simulation. Base on the Lyapunov method, the adaptive laws with guaranteed system stability and convergence were developed. The controller updates its parameters online using the laws to control a system and tracks its output command trajectory. The simulation study involving the popular inverted pendulum control problem shows theoretically predicted system stability and good tracking performance. And the comparison simulation experiments subjected to white noige or step disturbance indicate that the T2 controller is better than the T1 controller by 0--18%, depending on the experiment condition and performance measure.
基金Project(51005253) supported by the National Natural Science Foundation of ChinaProject(2012ZX02702006-003) supported by the National Science and Technology Major Program of ChinaProject(JMTZ201101) supported by the Key Laboratory for Precision & Non-traditional Machining of Ministry of Education,Dalian University of Technology,China
文摘Adaptive Type-2 fuzzy control possesses control performance better than the traditional adaptive fuzzy control.However,heavy computation burden obviously blocks the utilization of adaptive Type-2 fuzzy control in industrial application.By adopting novel piecewise fuzzy sets and center-average type-reduction,a simplified adaptive interval Type-2 fuzzy controller involving less computation is developed for practical industrial application.In the proposed controller,the inputs are divided into several subintervals and then two piecewise fuzzy sets are used for each subinterval.With the manner of piecewise fuzzy sets and a novel fuzzy rules inference engine,only part of fuzzy rules are simultaneously activated in one control loop,which exponentially decreases the computation and makes the controller appropriate in industrial application.The simulation and experimental study,involving the popular magnetic levitation platform,shows the predicted system with theoretical stability and good tracking performance.The analysis indicates that there is far less computation of the proposed controller than the traditional adaptive interval Type-2 fuzzy controller,especially when the number of fuzzy rules and fuzzy sets is large,and the controller still maintains good control performance as the traditional one.
基金Supported by National High Technology Research and Development Program of China （863 Program） （2007AA04Z239） and National Natural Science Foundation of China （60621001, 60975060）
文摘目的探讨三酰甘油葡萄糖乘积(triglyceride-glucose index,TyG)指数和血浆致动脉粥样硬化指数(atherogenic index of plasma,AIP)与老年冠心病(coronary heart disease,CHD)合并2型糖尿病(type 2 diabetes mellitus,T2DM)患者冠状动脉正性重构的关系。方法按照住院先后顺序选取2022年1月至2023年6月河南科技大学第一附属医院心血管内科收治的老年CHD合并T2DM患者120例,根据重构指数分为正性重构组47例和非正性重构组73例。比较2组临床资料;采用多因素logistic回归分析冠状动脉正性重构的危险因素;采用Spearman相关性分析TyG和AIP与冠状动脉正性重构的相关性;采用ROC曲线分析TyG和AIP对冠状动脉正性重构的预测价值。结果正性重构组吸烟、三酰甘油、糖化血红蛋白、TyG、AIP显著高于非正性重构组,高密度脂蛋白胆固醇、血钙水平显著低于非正性重构组(P<0.05,P<0.01)。单因素logistic回归分析显示,吸烟、三酰甘油、高密度脂蛋白胆固醇、糖化血红蛋白、血钙、TyG、AIP是老年CHD合并T2DM患者冠状动脉正性重构的危险因素(P<0.05,P<0.01)。多因素logistic回归分析显示,TyG(OR=7.253,95%CI:2.458~13.364,P=0.035)、AIP(OR=6.017,95%CI:2.205~12.025,P=0.030)是老年CHD合并T2DM患者冠状动脉正性重构的独立危险因素(P<0.05)。TyG、AIP预测老年CHD合并T2DM患者冠状动脉正性重构的曲线下面积分别为0.783、0.766,联合预测老年CHD合并T2DM患者冠状动脉正性重构的曲线下面积为0.868,显著优于单独预测(P<0.05)。结论TyG和AIP与老年CHD合并T2DM患者冠状动脉正性重构密切相关,可作为预测冠状动脉正性重构的有效指标,对临床早期识别高危患者及制定个体化干预策略具有重要意义。
文摘目的了解中老年2型糖尿病(type 2 diabetes mellitus,T2DM)患者少肌性肥胖(sarcopenic obesity,SO)患病率及不同诊断方法之间的一致性。方法采用系统随机抽样法选取2016年1月至2018年3月于北京地区9家医院内分泌科就诊的≥50岁T2DM患者,使用生物阻抗法进行身体成分检测;根据2022年欧洲临床营养与代谢学会(European Society for Clinical Nutrition and Metabolism,ESPEN)和欧洲肥胖研究协会(European Association for the Study of Obesity,EASO)方法定义SO,另外3种方法通过肌少症和肥胖的组合进行诊断。肌少症使用2019年亚洲肌少症工作组(Asian Working Group for Sarcopenia,AWGS)建立的标准来定义,肥胖通过体脂(percent of body fat,PBF)、腰围(waist circumference,WC)和体质量指数(body mass index,BMI)来定义。卡方检验进行率的比较,Cohens kappa统计分析比较4种方法的诊断一致性。结果共纳入1125例T2DM受试者,男性586例,年龄[61.2(55.3,67.4)]岁;女性539例,年龄[62.0(56.3,68.1)岁]。使用ESPEN/EASO共识、AWGS+PBF、AWGS+WC和AWGS+BMI标准,中老年T2DM患者SO患病率分别为41.6%、20.4%、30.1%和18.8%。4种方法之间的诊断一致性存在异质性(κ:0.109~0.655)。ESPEN/EASO共识与AWGS+PBF诊断一致性良好(κ:0.655),AWGS+体脂与AWGS+BMI诊断一致性良好(κ:0.637),AWGS+WC与AWGS+BMI(κ:0.359)、与AWGS+PBF诊断一致性中等(κ:0.330)。结论中老年T2DM患者SO患病率高,患病率和诊断一致性在不同诊断方法中存在差异,ESPEN/EASO的共识诊断率最高,AWGS+BMI诊断率最低,ESPEN/EASO共识与AWGS+体脂具有良好的诊断一致性。
