In this paper the definitions of generalized transfer functios of control system and itscontinuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been...In this paper the definitions of generalized transfer functios of control system and itscontinuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been constructed.Thus basing understanding of thecharacteristics of a control dynamics system on its measured procedure will simplify thedecision method of movement stability problems.展开更多
The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling c...The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss.展开更多
In order to improve the accuracy of English teaching quality evaluation, so as to promote the quality of English teaching, an evaluation method of English teaching quality is proposed based on fuzzy comprehensive eval...In order to improve the accuracy of English teaching quality evaluation, so as to promote the quality of English teaching, an evaluation method of English teaching quality is proposed based on fuzzy comprehensive evaluation, the index system model of English teaching quality evaluation is constructed, a decision tree model is used for construction of English teaching quality index model, objective function of English teaching quality evaluation is constructed based on fuzzy decision model, the conjugate function analysis method is used to optimize the decision function, the attributes that can reflect the quality of English Teaching is extracted, accurate evaluation and prediction of English teaching quality are realized. The simulation results show that the method of English teaching quality evaluation is reliable, it has high degree of confidence, evaluation result is accurate.展开更多
Sample size determination is commonly encountered in modern medical studies for two inde- pendent binomial experiments. A new approach for calculating sample size is developed by combining Bayesian and frequentist ide...Sample size determination is commonly encountered in modern medical studies for two inde- pendent binomial experiments. A new approach for calculating sample size is developed by combining Bayesian and frequentist idea when a hypothesis test between two binomial proportions is conducted. Sample size is calculated according to Bayesian posterior decision function and power of the most powerful test under 0-1 loss function. Sample sizes are investigated for two cases that two proportions are equal to some fixed value or a random value. A simulation study and a real example are used to illustrate the proposed methodologies.展开更多
In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging（GIFHCA） operator is defined.Meantime,some desirable properties are studied, and several importan...In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging（GIFHCA） operator is defined.Meantime,some desirable properties are studied, and several important cases are examined.Furthermore,we define the generalized Shapley GIFHCA （GS-GIFHCA） operator,which does not only overall consider the importance of elements and their ordered positions,but also globally reflect the correlations among them and their ordered positions.In order to simplify the complexity of solving a fuzzy measure,we further define the generalizedλ-Shapley GIFHCA（GλS-GIFHCA） operator.展开更多
文摘In this paper the definitions of generalized transfer functios of control system and itscontinuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been constructed.Thus basing understanding of thecharacteristics of a control dynamics system on its measured procedure will simplify thedecision method of movement stability problems.
基金Natural Science Foundation of Guangdong Province of China(No.2016A030307019)the Higher Education Colleges and Universities Innovation Strong School Project of Guangdong Province,China(No.2016KTSCX153)
文摘The Bayesian sampling plans for exponential distributions are studied based on type-Ⅱ hybrid censored samples. The optimal Bayesian sampling plan is derived under a general loss function which includes the sampling cost, time-consuming cost, salvage value,and decision loss. It is employed to determine the Bayes risk and the corresponding optimal sampling plan. An explicit expression of the Bayes risk is derived. Furthermore,for the conjugate prior distribution,the closed-form formula of the Bayes decision rule can be obtained under either the linear or quadratic decision loss.
文摘In order to improve the accuracy of English teaching quality evaluation, so as to promote the quality of English teaching, an evaluation method of English teaching quality is proposed based on fuzzy comprehensive evaluation, the index system model of English teaching quality evaluation is constructed, a decision tree model is used for construction of English teaching quality index model, objective function of English teaching quality evaluation is constructed based on fuzzy decision model, the conjugate function analysis method is used to optimize the decision function, the attributes that can reflect the quality of English Teaching is extracted, accurate evaluation and prediction of English teaching quality are realized. The simulation results show that the method of English teaching quality evaluation is reliable, it has high degree of confidence, evaluation result is accurate.
基金This research is supported by the National Natural Science Foundation of China under Grant Nos. 10761011, 10961026, Ph.D. Special Scientific Research Foundation of Chinese University under Grant No. 20060673002, and by program for New Century Excellent Talents in University （NCET-07-0737）.
文摘Sample size determination is commonly encountered in modern medical studies for two inde- pendent binomial experiments. A new approach for calculating sample size is developed by combining Bayesian and frequentist idea when a hypothesis test between two binomial proportions is conducted. Sample size is calculated according to Bayesian posterior decision function and power of the most powerful test under 0-1 loss function. Sample sizes are investigated for two cases that two proportions are equal to some fixed value or a random value. A simulation study and a real example are used to illustrate the proposed methodologies.
基金supported by the National Natural Science Foundation of China(Nos.71201089,71201110, 71071018 and 71271217)the Natural Science Foundation Youth Project of Shandong Province,China (ZR2012GQ005)the Specialized Research Fund for the Doctoral Program of Higher Education(No. 20111101110036)
文摘In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging（GIFHCA） operator is defined.Meantime,some desirable properties are studied, and several important cases are examined.Furthermore,we define the generalized Shapley GIFHCA （GS-GIFHCA） operator,which does not only overall consider the importance of elements and their ordered positions,but also globally reflect the correlations among them and their ordered positions.In order to simplify the complexity of solving a fuzzy measure,we further define the generalizedλ-Shapley GIFHCA（GλS-GIFHCA） operator.
