基于联系数的空中目标威胁评估模型

现代海战中,对空防御已经成为水面舰艇编队防御的主要内容,对来袭空中目标的威胁评估是有效对空防御的前提。针对空中目标威胁判断指标值为区间数的情况,采用集对分析理论,将区间数转化为联系数的形式;通过联系数进行目标威胁排序,通过实例表明,该方法准确、合理,是解决不确定多属性决策问题的有效方法。     

图的符号k-控制

设G（V,E）为一个图,k为任意的正整数且k不超过｜G｜,若有一个函数f：V｜1,－1｜满足：V中至少有k个点满足f[v]≥1,则称f为图G的一个符号k-控制函数,图G的符号k-控制数定义为γks^-11（G）=min{f（V）｜f为图G的一个符号k-控制}．给出了图的符号k-控制数的下界的一个改进的结论,并确定了轮图的符号k-控制数、     

Index numbers for monitoring transit service quality

The measurement of transit service quality is very important for guaranteeing a transport supply characterized by satisfactory service levels for the passengers. Even more important is the monitoring of the levels of service quality over time, which can be very useful to determine if the goals established by the transport planners are being met or exceeded. The status and evolution of transit service quality can be monitored through periodic and regular updating of the opinions expressed by the passengers about the service during the well-known Customer Satisfaction Surveys, allowing the effect of policies to be evaluated and specific interventions to be introduced. In this work, just the issue of monitoring service quality based on users’ opinions is approached, and the index numbers usually applied in the economic and industrial field are proposed for this purpose. Index numbers permit to study the fluctuations or variations of a variable or more variables over time, providing a powerful measurement for making comparisons and predictions of the analyzed concept. The index numbers were calculated on the basis of data collected from Customer Satisfaction Surveys addressed to the passengers of the metropolitan public service of Granada (Spain). The analyzed time period has been established from 2007 to 2013. Interesting results derive from the calculation of the index numbers. Since both perceptions and importance rates are considered in this methodology, the results can inform, not only on the satisfaction tendencies but also on the trend on customers’ priorities, which is actually the expected quality. Therefore, policies could more efficiently be designed to adjust the service to the users’ real needs.     

关于Fuzzy数集和Fuzzy复数集确界的注记

本文通过一个算例，指出关于Ｆｕｚｚｙ数集和Ｆｕｚｚｙ复数集确界的四个定义不符合经典习惯，给出了修改后的定义并证明了几个关于Ｆｕｚｚｙ数集与Ｆｕｚｚｙ复数集确界的性定理。     

下承式钢板梁整体稳定问题研究

用弹性稳定理论及弹塑性稳定理论,对下承式钢板梁的整体稳定问题进行了详细分析,由此说明了<铁路桥涵设计规范>(TBJ2-85)附录8中给出的公式及数据的适用性.     

基于模糊灰色关联分析的软件可信性评估方法

为了提高软件可信性评估的准确性,提出了一种基于模糊灰色关联分析的软件可信性评估方法,该方法使用梯度模糊数计算各个可信指标的权重。首先计算出软件可信指标的正、负理想值,然后使用灰色关联分析方法计算出可信指标度量值对正、负理想值的灰色关联度,依次计算出软件可信性评估值。其中,通过模糊梯形数对可信评估指标的权重值进行处理。应用结果表明：所提方法对于软件可信性的评估是有效的,结果具有较高的准确性。     

常规公交票价综合评价方法分析

常规公交票价的评价对于指导城市公交票价制定、改善影响公交票价的因素具有重要意义。首先,对影响常规公交票价制定因素进行系统分析,在充分考虑居民、公交企业、政府3方面利益的基础上,构建常规公交票价评价指标体系。然后采用灰色关联度分析法对常规公交票价方案进行评价,评价过程中引入三角模糊数对定性指标进行模糊化处理。最后,通过算例对评价指标和算法进行验证。结果表明,文章所构建的公交票价方案评价指标体系是可取的,采用灰色关联度分析法对城市常规公交票价方案进行评价可行。     

Evaluating competitiveness using fuzzy analytic hierarchy process—A case study of Chinese airlines

With the development of a national market economy, the Chinese aviation industry is now confronted with international competition. Therefore, it is necessary to research the competitive status of Chinese national aviation, as well as advice on how to enhance the competitiveness of the Chinese aviation industry. The main objective of this paper is to propose FAHP as an effective solution for resolving the uncertainty and imprecision in the evaluation of airlines' competitiveness. In this paper, we review the research of industrial international aviation competitiveness at both home and abroad, discuss a theoretical framework for the study of aviation competitiveness, establish an index system with five first‐order indicators and 17 second‐order indicators, set up a Chinese aviation competitiveness model based on simple fuzzy numbers from the fuzzy analytic hierarchy process, and evaluate the competitiveness of five major Chinese airlines. The results showed that this model and these indicators are scientific and practical, with a wide range of application prospects for the purpose of improving and increasing Chinese airline competitiveness in the international market. The effective approach presented in this paper is especially applicable when subjective judgments on performance ratings and attribute weights are not accessible or reliable, or when suitable decision makers are not available. Copyright © 2011 John Wiley & Sons, Ltd.     

Shipment forecasting for supply chain collaborative transportation management using grey models with grey numbers

The sharing of forecasts is vital to supply chain collaborative transportation management (CTM). Shipment forecasting is fundamental to CTM, and is essential to carrier tactical and operational planning processes such as network planning, routing, scheduling, and fleet planning and assignment. By applying and extending grey forecasting theory, this paper develops a series of shipment forecasting models for supply chain CTM. Grey time-series forecasting and grey systematic forecasting models are developed for shipment forecasting under different collaborative frameworks. This paper also integrates grey numbers with grey models for analyzing shipment forecasting under partial information sharing in CTM frameworks. An example of an integrated circuit (IC) supply chain and relevant data are provided. The proposed models yield more accurate prediction results than regression, autoregressive integrated moving average (ARIMA), and neural network models. Finally, numerical results indicate that as the degree of information sharing increases under CTM, carrier prediction accuracy increases. This paper demonstrates how the proposed forecasting models can be applied to the CTM system and provides the theoretical basis for the forecasting module developed for supply chain CTM.     

第二类Stirling数S2（n，n-k）的一个公式

本文给出了广义第二类Stirling数的一个定义,并由此得到一个有关第二类Stirling数的一个更一般公式。