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Sharp Bounds for Upper and Bottom Spectrum of Hermitizable Tridiagonal Matrices

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Journal of Mathematical Research with Applications 2025年第1期 125-132页

作者： Yueshuang LI Lingdi WANG school of Statistics Capital University of Economics and Business school of Mathematics and Statistics Henan University

We display sharp bounds for upper and lower spectrum of a Hermitizable tridiagonal matrix. The representations are brought to light by exploiting the characteristic for eigenpairs(eigenvalue and its corresponding eigenvector) of tridiagonal matrices, isospectral transforms and sharp bounds for speed stability of birth-death processes.

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Precise Rehabilitation Strategies for Functional Impairment in Children with Cerebral Palsy

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Intelligent Automation & Soft Computing 2023年第6期36卷 3191-3202页

作者： Yaojin Sun Nan Jiang Min Zhu Hao Hua Department of Rehabilitation Medicine Children’s Hospital of Nanjing Medical UniversityNanjing210008China skema business school Lille59777France

This paper explores the effect of precise rehabilitation strategies under the international classification of functioning,disability and health for children and youth(ICF-CY)on the motor function of children with cerebral *** the framework of ICF-CY,the observation team is designed and evaluated from physical functions,activities and participation,environmental factors,and devel-ops individualized rehabilitation strategies that are tailored to individual *** control group was assessed by traditional methods and treatment plans and measures were formulated and *** course of treatment was 12 *** scores of GMFM-88,Peabody Motor Development Scale-2con-cluding fine motor quotient(PDMS-FM),WeeFIM and the ability of daily living(ADL)scale(Barthel index,BI)score were compared before and after *** research shows that precise rehabilitation strategy mode for children with cer-ebral palsy under the ICF-CY framework can effectively improve the motor func-tion and the ability of daily living(ADL)in children with cerebral *** evaluation and treatment mode of children with cerebral palsy under ICF-CY framework can effectively improve the gross motor function of children with cerebral *** evaluation and analysis and guidance of comprehensive rehabilitation treatment have certain *** overall treatment effect is better than that of traditional rehabilitation evaluation.

关键词： ICF-CY cerebral palsy precise rehabilitation strategy

Mistaking Statistics for Rigor in American business school Research： Should China Follow, or Lead in a New Direction？

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Frontiers of business Research in China 2014年第4期8卷 411-434页

作者： Allen S. Lee school of business Virginia Commonwealth University Richmond VA 23284-4000 USA

The heavy emphasis on statistical rigor that business schools in American universities place on research is questionable in general and, for business schools in China, is not necessarily a good strategy by which either to produce useful research or to distinguish themselves from business schools in the United States. The reasons for this pertain to, first, what statistical analysis is good for in science; second, what statistical analysis is not good for in science; third, what statistical analysis is and is not good for in business research; fourth, how a large sample size is not generalizable but a single case is; fifth, how action research, design research, and Herbert Simon＇s ＂sciences of the artificial＂ all demonstrate rigor without statistics; and finally, the historical context that explains the turn to statistics in American business schools but is irrelevant to China. The recommendation is for business schools in China not necessarily to reject statistical research, but rather, to also pursue other, equally scientific forms of research, including those recognized by Herbert Simon.

关键词： philosophy of science,methodology sciences of the artificial,research business researchphilosophy of technology statisticaldesign science design research action

Modeling and applying credible interval intuitionistic fuzzy reciprocal preference relations in group decision making

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Journal of Systems Engineering and Electronics 2017年第2期28卷 301-314页

作者： Wei Zhou Zeshui Xu business school Sichuan University International business school Yunnan University of Finance and Economics

Intuitionistic fuzzy preference relations are powerful techniques used to express uncertain preference information. However, simultaneously providing the exact priority and non-priority intensities could be difficult in real applications. A credible interval intuitionistic fuzzy number (CIIFN) is introduced and a credible interval intuitionistic fuzzy reciprocal preference relation (CIIFRPR) is developed to solve this issue. Unlike intuitionistic fuzzy preference relations, the new preference relations use the CIIFNs to express the preference information such that the decision makers simply provide the priority intensity with interval-valued numbers and calculate the non-preference intensity with the transformed method, which avoids a complex evaluation of non-priority information. Furthermore, some basic operations and comparison laws are investigated, based on which three credible interval intuitionistic fuzzy aggregation operators are proposed. Two models are presented to manage the group decision-making. Finally, a practical case is used to demonstrate the feasibility and reasonability of the proposed preference relations and aggregation operators. © 2017 Beijing Institute of Aerospace Information.

关键词： Fuzzy rules Fuzzy sets Mathematical operators

CAPACITY COMMITMENT AND PRICING FOR SUBSTITUTABLE PRODUCTS UNDER COMPETITION

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Journal of Systems Science and Systems Engineering 2012年第4期21卷 443-460页

作者： Hongyan LI Tianhui YOU business and Social Science school Aarhus University school of business Administration Northeastern University

Capacity acquisition and pricing decisions are a company＇s long-term strategic decisions. However, demand uncertainty and substitutability of multiple products cause the difficulty to solve capacity and pricing decision problems. In this paper, we address a multiple product pricing and multiple resource capacity acquisition problem with *** and competition. The company needs to determine capacity commitment for each resource and product prices before demands are realized so that the total profit is maximized. If the demand exceeds the committed capacity, extra amounts can be purchased from the spot market. Variable unit production costs, capacity acquisition and maintenance costs are considered. We first analyze a single company basic problem and find the optimal solutions on prices and capacity. Based on the single company model, we address the two-product, two-firm capacity commitment and pricing problem considering across product and across company price competition factors. The existence and uniqueness of equilibrium on price and capacity commitment are proved, and then we extended the results to the multiple product, multiple company case.

关键词： Capacity commitment multiple product pricing product substitution price competition stochastic demand

THE DISTRIBUTION-FREE NEWSVENDOR PROBLEM WITH BALKING AND PENALTIES FOR BALKING AND STOCKOUT

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Journal of Systems Science and Systems Engineering 2014年第2期23卷 153-175页

作者： Hui Yu Jia Zhai school of Economics and business Administration Chongqing University school of business Administration Chongqing University of Technology

This paper investigates the ordering policy for the newsvendor problem with customer balking and penalties for balking and stockout. Our analysis is based on the assumption that only the mean and the variance of the demand distribution are known. In contrast to the existing research, we provide a new tradeoff tool as a replacement of the traditional one to weigh the holding cost and the goodwill cost segment： the balking penalty cost and the stockout penalty cost. Specifically, in addition to the stockout penalty, we also introduce the balking penalty, provide a new proof of the optimality of robust ordering policy to guarantee that the lower bound of expected profit obtained by us is tight, and get an robust optimal order quantity which is an exact solution but not an approximate one as before. Numerical experiments are conducted to illustrate the effect of penalties for balking and stockout.

关键词： Newsvendor problem distribution-free customer balking balking penalty stockout penalty

The Changing of Common Priors in Sequential Auctions

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Journal of Systems Science & Complexity 2016年第5期29卷 1342-1357页

作者： QIAO Heng MA Jun school of Economics Central University of Finance and Economics business school University of International Business and Economics

In sequential auctions the phenomenon of declining prices is often observed, which in theory can be represented by a supermartingale. This paper employs the perspective that bidders' values may change over stages and the common priors are sequentially adjusted by the remaining bidders. It is shown that the declining price sequence can be explained by the adjustment of common priors between auctions. The adjustment of common priors is characterized by stochastic orders. Sufficient and necessary conditions for a supermartingale price sequence are derived.

关键词： First-price sealed-bid auction private-value paradigm sequential auctions.

Optimization approach of background value and initial item for improving prediction precision of GM(1,1) model

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Journal of Systems Engineering and Electronics 2014年第1期25卷 77-82页

作者： Yuhong Wang Qin Liu Jianrong Tang Wenbin Cao Xiaozhong Li school of business Jiangnan University

A combination method of optimization of the back-ground value and optimization of the initial item is proposed. The sequences of the unbiased exponential distribution are simulated and predicted through the optimization of the background value in grey differential equations. The principle of the new information priority in the grey system theory and the rationality of the initial item in the original GM（1,1） model are ful y expressed through the improvement of the initial item in the proposed time response function. A numerical example is employed to il ustrate that the proposed method is able to simulate and predict sequences of raw data with the unbiased exponential distribution and has better simulation performance and prediction precision than the original GM（1,1） model relatively.

关键词： background value initial item grey system theory,grey prediction.

Comprehensive multivariate grey incidence degree based on principal component analysis

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Journal of Systems Engineering and Electronics 2014年第5期25卷 840-847页

作者： Ke Zhang Yintao Zhang Pinpin Qu business school Hohai University

To overcome the too fine-grained granularity problem of multivariate grey incidence analysis and to explore the comprehensive incidence analysis model, three multivariate grey incidences degree models based on principal component analysis （PCA） are proposed. Firstly, the PCA method is introduced to extract the feature sequences of a behavioral matrix. Then, the grey incidence analysis between two behavioral matrices is transformed into the similarity and nearness measure between their feature sequences. Based on the classic grey incidence analysis theory, absolute and relative incidence degree models for feature sequences are constructed, and a comprehensive grey incidence model is proposed. Furthermore, the properties of models are researched. It proves that the proposed models satisfy the properties of translation invariance, multiple transformation invariance, and axioms of the grey incidence analysis, respectively. Finally, a case is studied. The results illustrate that the model is effective than other multivariate grey incidence analysis models.

关键词： grey system multivariate grey incidence analysis behavioral matrix principal component analysis (PCA).