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GM (1, 1) Model Based on a Kind of New Weakening Buffer Operators 基于一类新的弱化缓冲算子的GM(1,1)模型
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-09-01 DOI: 10.30016/JGS.200909.0003
Li-zhi Cui, Si-feng Liu
Under the axiomatic system of buffer operator in grey system theory, this paper puts forward some new weakening buffer operators, which have the universality and practicability. Meanwhile, the characters and the inherent relation among them are studied. The problem that there are some contradictions between quantitative analysis and qualitative analysis in pretreatment for vibration data sequences is resolved effectively. An example shows their validity and practicability.
在灰色系统理论的缓冲算子公理体系下,提出了一些新的弱化缓冲算子,具有通用性和实用性。同时,对二者的特点和内在联系进行了研究。有效地解决了振动数据序列预处理中定量分析与定性分析存在矛盾的问题。算例表明了该方法的有效性和实用性。
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引用次数: 0
Relationships among Service Quality, Customer Satisfaction and Customer Loyalty-The Scenery Restaurant in Central Taiwan 服务品质、顾客满意与顾客忠诚之关系研究——台湾中部风景餐厅
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-09-01 DOI: 10.30016/JGS.200909.0007
C. Kung, Tzung-Ming Yan, Yin-Pei Lin
Because of the huge population of out-diners, numerous scenery restaurants are established. With various choices, customers have more options to choose restaurants, which attract them. Meanwhile, scenery restaurants attempt to satisfy customers' needs to exist longer. However, previous studies seldom investigate about the important factors that customer needs in scenery restaurants. In this study, scenery restaurants were been focused to explore the relationship among service quality, customer satisfaction, and customer loyalty. The subjects recruited in this study were customers who have ever been to the scenery restaurant in central Taiwan. Each dimension of service quality and related important items of customer satisfaction and customer loyalty will be analyzed by the grey relational grade (GRG). The result of the study will be expected the weight of each evaluating factor including the marketing mix, the satisfaction of the service quality, the view of scenery, and the degree of what customers emphasize on in one specific scenery restaurant. The implication of the results in this study hopes to provide suitable assistance for the owners of the scenery restaurant to manage their business smoothly and exist permanently.
由于外出就餐的人数众多,许多风景餐馆应运而生。有了各种各样的选择,顾客有更多的选择餐馆,这吸引了他们。同时,风景餐厅试图满足顾客长久存在的需求。然而,以往的研究很少对风景餐厅顾客需求的重要因素进行研究。本研究以风景餐厅为研究对象,探讨服务品质、顾客满意与顾客忠诚之间的关系。本研究以曾到过台湾中部风景餐厅的顾客为研究对象。服务质量的各个维度以及顾客满意和顾客忠诚的相关重要项目将通过灰色关联度(GRG)进行分析。研究的结果将是每个评价因素的权重,包括营销组合,服务质量的满意度,风景,以及顾客对某一特定风景餐厅的重视程度。本研究结果的启示,希望能对风景餐厅的经营者经营顺利、永续经营提供适当的协助。
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引用次数: 4
A Study of Applying Grey Predictive Module into Sales Revenue Prediction of Convenience Chain Stores an Investigation of 7-ELEVEn and FamilyMart 灰色预测模块在便利连锁店销售收入预测中的应用研究——以7- 11和全家超市为例
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-09-01 DOI: 10.30016/JGS.200909.0006
Mei-Lien Ken, Yuanbo Li
The objective of this study is to build a Grey Method used for the measurement of sales revenue of 7-ELEVEn and FamilyMart. Meanwhile, this study aims to process Grey Method Analysis on sales revenue in the period from 2009 to 2013 and progressively provide enterprises or investors with references for the development of convenience chain stores. Subjects applied in this study consist of the sales revenues of 7-ELEVEn and FamilyMart. This research is designed to examine the comparison analysis on these two convenience chain stores by means of such data-analysis methods as GM (1,1), RGM(superscript +) (1,1) , RGM(superscript −) (1, 1), Nonlinear Bernoulli Module, GM (1, 1) revised by Tan, and Multiple Regression Analysis. With the assistance of data analysis, this study has made it positive to prove that the pre-test results under different module applications are perceived as remained. Accordingly, under the application of top-five modules, the pre-test outcome indicates that the growth rate of 7-ELEVEn in next five years is more than 1.04% and less than 4.82%. Meanwhile, that of FamilyMart in next five years is more than 6.63% and less than 8.01%. With the understanding of growth rate estimation, enterprises could take the outcome released in this study into consideration associated with consumer market and business administration.
本研究的目的是建立一个灰色方法用于衡量7- 11和全家超市的销售收入。同时,本研究旨在对2009年至2013年期间的销售收入进行灰色分析,逐步为企业或投资者提供便利连锁店发展的参考。本研究的研究对象为7-ELEVEn和全家超市的销售收入。本研究旨在通过GM(1,1)、RGM(上标+)(1,1)、RGM(上标−)(1,1)、非线性伯努利模块、Tan修正的GM(1,1)、多元回归分析等数据分析方法,对这两家便利店进行对比分析。在数据分析的帮助下,本研究证明了不同模块应用下的预测试结果被认为是保留的。因此,在前五名模块的应用下,预测结果表明,未来五年7- 11的增长率大于1.04%,小于4.82%。与此同时,全家超市未来5年的市场占有率超过6.63%,低于8.01%。通过对增长率估计的理解,企业可以将本研究的结果与消费者市场和企业管理相结合。
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引用次数: 2
Forecasting Evaluation of Public Listed Companies Revenue in Taiwan Tourism Industry-Comparison between Grey Forecasting Regression Analysis and Exponential Smoothing 台湾观光业上市公司营收预测评价:灰色预测回归分析与指数平滑之比较
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-06-01 DOI: 10.30016/JGS.200906.0001
Li-Chu Hung
Various governments regard tourism market as item to boost their economies. As a result, new administration in Taiwan tries every effort to attract Chinese from PRC to Taiwan. The officials shouts slogans to boost tourism, formulate some policies and travel agencies promote various preferential traveling schedules with aim of bringing tourists into Taiwan. This article mainly analyzes total revenue of public listed companies in Taiwan tourism industry from January 2004 to December 2007 to establish the revenue forecasting model of public listed companies in Taiwan tourism industry by Grey Theory (calculation month after month and calculation not month after month), simple linear regression analysis and single exponential smoothing. Additionally this article uses Mean Absolute Percentage Error (MAPE) to select the minimum index as the best forecasting model. Then this article conducts revenue forecast from January to December 2008. Result indicates that method proposed by this article can not only provide counter strategies for tourism industry to face future challenge and serve as reference to government or related departments, but also can provide as a reference to relevant research in this field.
各国政府都把旅游市场作为促进本国经济发展的项目。因此,台湾的新一届政府尽一切努力从中国大陆吸引中国人到台湾。官员们喊着口号来促进旅游业,制定一些政策,旅行社推出各种优惠的旅游计划,目的是吸引游客到台湾来。本文主要分析2004年1月至2007年12月台湾旅游行业上市公司的总收入,运用灰色理论(逐月计算与非逐月计算)、简单线性回归分析和单指数平滑建立台湾旅游行业上市公司收入预测模型。此外,本文利用平均绝对百分比误差(MAPE)选择最小指数作为最佳预测模型。然后,本文对2008年1 - 12月的收入进行了预测。结果表明,本文提出的方法不仅可以为旅游业应对未来的挑战提供对策,为政府或相关部门提供参考,而且可以为该领域的相关研究提供参考。
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引用次数: 0
Study on Novel Property of Some Grey Relational Analysis Models 一些灰色关联分析模型的新特性研究
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-06-01 DOI: 10.30016/JGS.200906.0004
J. Cui, Yao-guo Dang, Sifeng Liu
The purpose of this paper is to further study the properties of algorithms for grey relational analysis. Based on analyzing of some existing algorithms for grey relational analysis and their properties, this paper firstly creates the novel definitions of affine transformation isotonicity of grey relational models. Secondly, we investigated this novel property of some models for grey relational analysis. Finally, the study result shows that the algorithms for general relational analysis, grey pointed relational analysis, grey T-mode relational analysis and grey rate relational analysis is satisfying the novel property. This result may enrich the theoretical system of grey relational analysis.
本文的目的是进一步研究灰色关联分析算法的性质。在分析现有灰色关联分析算法及其性质的基础上,提出了灰色关联模型仿射变换等同性的新定义。其次,我们研究了一些灰色关联分析模型的这种新性质。最后,研究结果表明,广义关联分析、灰点关联分析、灰t型关联分析和灰率关联分析算法均满足该特性。这一结果丰富了灰色关联分析的理论体系。
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引用次数: 5
Implementation of GPRS Long-Distance Monitoring Platform Based on Grey Prediction Model 基于灰色预测模型的GPRS远程监控平台的实现
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-06-01 DOI: 10.30016/JGS.200906.0006
Chang-Jo Wu, Kuei-Jen Lee, Fu-Yuan Hsu
This research is to construct a whole predictable wireless monitoring system with GPRS. This system is composed of two parts, one is subsystem based on single CMOS chip, collect data from the Thermal Couple Sensor (TCS). Based on Deng's grey model (GM) theory, transplant GM (1, 1) prediction algorithm inside the single-chip. Temperature of the next slice can be predicted precisely. The other is controlling system, which is the kernel element of GM predication (GMP) system. Monitoring function collects the long-distance data and control the subsystem through GPRS network. The realized system cannot only monitor real-time data, but also can send key part through GRPS channels when emergence happens. The exception can be exposed as soon as it appears, so it is easy to be repaired within a very short time.
本课题的研究是利用GPRS技术构建一个完整的可预测的无线监控系统。该系统主要由两部分组成,一部分是基于单个CMOS芯片的子系统,主要负责从热电偶传感器(TCS)采集数据;基于邓氏灰色模型(GM)理论,将GM(1,1)预测算法移植到单片机内部。可以准确预测下一层的温度。二是控制系统,它是转基因预测(GMP)系统的核心要素。监控功能通过GPRS网络采集远程数据并对子系统进行控制。所实现的系统不仅可以实时监控数据,还可以在发生紧急情况时通过GRPS通道发送关键部件。异常一出现就可以暴露,所以很容易在很短的时间内修复。
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引用次数: 0
The Optimization of GM (1, N) Model and New Method of Forecasting GM (1, N)模型的优化及预测新方法
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-06-01 DOI: 10.30016/JGS.200906.0005
Yi Shao, Yong Wei
On one hand, reconstruct a new GM (1, N) model equation by using a kind of optimized background value, and we discover that the new GM (1, N) model has higher simulated value and precision obviously, especially the series of data change sharply. On the other hand, deduce a forecasting formula that can suit the situation which the drive coefficient matrix of GM (1, N) model equation group is reversible, overcome the defect of nested model which require the drive coefficient matrix of GM (1, N) model equation group should be triangular array. Using the new forecasting formula, we can discover the new GM (1, N) model has higher prognostic precision.
一方面,利用一种优化的背景值重构新的GM (1, N)模型方程,发现新的GM (1, N)模型具有明显更高的模拟值和精度,特别是序列数据变化明显;另一方面,推导出适合GM (1, N)模型方程组驱动系数矩阵可逆情况的预测公式,克服了嵌套模型要求GM (1, N)模型方程组驱动系数矩阵必须为三角形阵列的缺陷。利用新的预测公式,我们可以发现新的GM (1, N)模型具有更高的预测精度。
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引用次数: 0
A New Approach of Grey Decision-Making 灰色决策的新方法
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-06-01 DOI: 10.30016/JGS.200906.0003
W. Hsieh, Kun-Li Wen
The so-called grey decision-making is a mathematical method that can solve the grey numbers in the system. The community is full of uncertainty that needs to be resolved. Although there are a lot of decision-making methods being used, the purpose of this paper is to provide a new decision-making mode to eliminate the uncertainty, so that the decision-making can be more complete. The main point is to integrate the grey generating and globalization grey relational grade in the grey system theory in order to suggest a new analysis from the traditional grey decision making analysis and provide a supplement. This paper also makes use of the case of 'purchasing a house' and the proposed mathematical mode to do the grey relational grade method analysis in order to get the best decision making result.
所谓灰色决策是一种求解系统中灰色数的数学方法。社区充满了需要解决的不确定性。虽然目前使用的决策方法很多,但本文的目的是提供一种新的决策模式,消除不确定性,使决策更加完整。重点是将灰色系统理论中的灰色生成和全球化灰色关联度相结合,在传统的灰色决策分析基础上提出一种新的分析方法,并对灰色决策进行补充。本文还以“买房”为例,利用所提出的数学模型进行灰色关联度法分析,以期得到最佳的决策结果。
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引用次数: 0
Application of GM (0, N) in Satisfaction Rating on Learning and Instruction of Phonics Course a Case Study of D Community University GM (0, N)在自然拼读课教学满意度评价中的应用——以D社区大学为例
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-03-01 DOI: 10.30016/JGS.200903.0005
Hui-Yi Liang
The purpose of this study was to make use of quantitative methods to study the satisfaction rating on content learning and teachers' instruction of phonics program delivered by the D Community University. The program lasted for 12 weeks (3 hours per week). A questionnaire, Phonics Evaluation Questionnaire, was developed to assist in the study. This was distributed to the students, 25 in all, of whom 96% responded. The research method applied was the GM (0, N) model of Grey Theory to analyze the assembled data and rate the factors which contributed to the students' satisfaction with the course content and teachers' instruction. The research results showed that the rich course content reaches the highest satisfaction; all instructions and explanations given were very clear and concise; the sound effect of supplemental multi-media materials supplied were of excellent quality; after the completion of the phonics course, the students had no fear encountering English which consists with the traditional concept. Based on the research results, some suggestions were made to the Board of the D Community University, course teachers and phonics learners on program improvements in continuous research and reference.
本研究的目的是运用定量方法研究D社区大学自然拼读课程的内容学习满意度和教师教学满意度。该项目持续12周(每周3小时)。为了协助研究,我们制作了一份“自然拼读评价问卷”。这些问卷被分发给25名学生,其中96%的学生做出了回应。本研究采用灰色理论的GM (0, N)模型对收集到的数据进行分析,并对影响学生对课程内容和教师教学满意度的因素进行评分。研究结果表明,课程内容丰富,满意度最高;所有的说明和解释都非常清楚和简洁;补充提供的多媒体材料声效优良;在完成了自然拼读课程后,学生们不再害怕遇到与传统观念相符的英语。根据研究结果,对D社区大学董事会、课程教师和自然拼读学习者提出了一些建议,以供继续研究和参考。
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引用次数: 0
The Application of Grey Relational Grade in Spinal Lesions Imaging Study 灰色关联度在脊柱病变影像学研究中的应用
IF 1.6 4区 工程技术 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Pub Date : 2009-03-01 DOI: 10.30016/JGS.200903.0003
Mao-Lin Chen, Hung-Ting Tu
Most Along with medical science progress, more complex medical imaging of physical illness can be operated and processed immediately into image. However, physical illness or whether there's any growth of bone lesions and the disease can only be found when the patients feel pain and go to the hospital for examination and scanning. Therefore, the purpose of this study was to combine AR Model and grey relational grade to analyze image of the thoracic cavity and spinal bone. It compares the spinal bone's spur lesions development and offers a more precise reference for doctors and patients’ family members. First of all, this paper removes the noise to highlight the clarity of spinal bones image. Further, it makes grey relational grade of AR-Model toward the spinal bones image classification model. Then, it compares and determines the spinal bone spur lesion with the model and acts as an inference and prevention toward spinal bone spur disease. So, this paper proposes to do AR-Model spectrum analysis toward medical images and makes each row's image into 256 gray level predictions by means of grey relational grade. According to this, spinal bone prediction model can make a comparison and identify the spinal bone image more effectively. After being simulated and verified, the design of this paper can actually provide a clearer spinal bone form and offer an effective image comparison warning.
随着医学的进步,越来越多的复杂的身体疾病的医学成像可以立即进行操作并处理成图像。但是,身体上的疾病或者是否有骨骼病变的生长和疾病,只有当患者感到疼痛并去医院检查和扫描时才能发现。因此,本研究的目的是结合AR模型和灰色关联等级对胸腔和脊柱骨的图像进行分析。比较脊柱骨刺病变的发展情况,为医生和患者家属提供更准确的参考。首先,本文去除噪声,突出脊柱骨骼图像的清晰度。进一步,对脊柱骨骼图像分类模型进行ar模型的灰色关联度划分。然后与模型比较确定脊髓骨刺病变,对脊髓骨刺疾病起到推断和预防作用。因此,本文提出对医学图像进行AR-Model光谱分析,利用灰度关联等级将每一行图像划分为256个灰度预测。据此建立的脊柱骨预测模型可以更有效地对脊柱骨图像进行比较和识别。经过仿真和验证,本文的设计确实可以提供更清晰的脊柱骨形态,并提供有效的图像比较预警。
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引用次数: 2
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