公务员招聘问题的研究

建立了不符合度、失望度、不满意度等概念,将公务员招聘问题转化为求不满意度总和最小的0—1规划模型,很好地解决了在不考虑和考虑应聘人员意愿的两种情形下公务员招聘的问题.充分体现了录取的公平公正性和对人才的充分利用.     

公务员招聘的人才软匹配模型

在公务员招聘过程中,如何科学有效地进行人才的安排、分配,也就是让人才与职位或者部门能有效地进行搭配,这是一个关键的问题.利用人才软匹配系统,以CM CM 2004D为例,在既考虑应聘人员意愿,又考虑用人部门期望要求的情况下,建立择优按需录用模型,很好地解决了这个问题.     

公务员招聘的数学模型

利用组合图论的方法将公务员招聘问题转化为求赋权平衡二部图的最大权完美匹配问题,再利用Kuhn-Munkras算法得到它的解,在此过程中利用迭加因子方法充分考虑了用人单位的希望要求及应聘人员的个人意愿,因而是一套最大限度地同时满足应聘者意愿和用人单位要求的解决方案.     

担保之惑

财务岗位在企业中是特殊的，也是重要的，为了保证所聘财务人员的道德操守，一些企业规定：凡应聘财务岗位者，须有企业所在城市人员的担保，但是，找人担保就能保证应聘人员的忠诚吗？又有多少人因为没能得到担保，被挡在企业大门之外？     

基于DEMATEL-ISM模型的居民屋顶光伏设备安装意愿的影响因素研究

研究以宁波居民为调查对象,首先就居民屋顶光伏设备安装的采纳意愿进行了调查,进而采用DEMATEL-ISM方法就居民屋顶光伏设备安装意愿的影响因素进行了实证分析.统计表明居民愿意安装屋顶光伏发电设备的占被调查人员的73.77%,城市居民光伏发电设备安装意愿略高于农村居民,近期有打算安装光伏发电设备的被调查者约占3.56%;DEMATEL分析表明中心度排在前四位的因素分别是分布密度、补贴力度、投资回报时间和安装成本,它们对于居民光伏发电设备安装意愿有着非常重要的影响;ISM分析进一步表明售后服务和住房特征是影响居民安装光伏发电设备安装意愿的直接影响因素,而光伏法规、补贴力度、并网技术、设备质量是影响居民家庭屋顶光伏设备安装意愿最根本的因素.     

考虑后悔规避与匹配意愿的直觉模糊双边匹配方法

针对直觉模糊偏好信息的双边匹配问题,提出一种考虑匹配主体后悔规避心理行为和匹配意愿的双边匹配方法。首先,将双边主体的直觉模糊偏好信息转化为效用值;然后,依据后悔理论的思想,通过一方主体将另一方主体进行两两比较计算每个主体的后悔值和欣喜值,进而计算每个主体的总体后悔欣喜值,构建匹配满意度计算规则,建立双边匹配多目标优化模型,通过分析现有匹配意愿系数确定方法的不足,给出一种新的匹配意愿系数确定方法,在此基础上,考虑双边主体的匹配意愿,采用线性加权法将多目标优化模型转化为单目标规划模型进行求解,获得双边匹配结果;最后,通过一个算例验证了提出方法的可行性和有效性。     

基于网站和卖家的C2C消费者购买意愿模型:感知收益与风险的转移

基于在线购物意愿的研究已经证实了态度、主观规范和感知行为控制对购买意愿有显著的影响,但考虑媒介网站和在线卖家关系的研究并不多见。本文考虑C2C电子商务模式的特殊机制,发现消费者对网站的感知收益和风险会通过对网站的态度间接影响到对卖家收益和风险的判断上,表明收益和风险的感知能够在相近对象之间转移。同时证实,自我效能直接影响对卖家的感知风险,感知社会存在直接影响感知收益和风险,由此暗示传统交易中的消费者行为规律在网购中仍在发挥作用。     

考虑匹配意愿的直觉模糊双边匹配决策

本文从匹配意愿的视角研究了基于直觉模糊集信息的双边匹配问题。首先给出了直觉模糊集和双边匹配的概念;接着描述了考虑匹配意愿的直觉模糊双边匹配问题。为求解该问题,先将直觉模糊集矩阵转化为得分矩阵。以每个主体得分最大为目标,在一对一双边匹配约束条件下,建立了双边匹配模型。依据得分矩阵,计算匹配意愿矩阵;依据匹配意愿矩阵,将双边匹配模型转化为单目标优化模型;通过求解该模型获得“最佳”双边匹配。最后,通过一个人岗匹配实例说明了所提双边匹配决策的可行性和有效性。     

大学生创业失败归因、失败学习方式与后续创业意愿的关系——基于风险容忍力的调节作用

大学生创业失败经历对于后续创业意愿的影响十分关键.通过214份具有创业失败经历的大学生创业者的问卷调查数据,运用结构方程构建检验创业失败归因对大学生后续创业意愿的影响机制.结果表明,创业失败归因的内部性程度、可控性程度对失败学习方式和后续创业意愿有显著正向影响,利用式学习方式对后续创业意愿也有显著正向影响,但探索式学习方式对后续创业意愿有显著负向影响.创业失败学习方式在创业失败归因与后续创业意愿之间起中介作用,风险容忍力在失败学习方式与后续创业意愿之间起调节作用.     

考虑风险的产业技术联盟知识共享演化博弈研究

知识共享是促进产业技术联盟绩效增长的重要途径。考虑产业技术联盟成员风险偏好的差异性,引入成员风险因子与知识共享收益因素,构建基于风险因子和知识共享收益非线性关系的演化博弈支付矩阵,并求得博弈的均衡解。通过TD产业联盟的案例分析,仿真模拟风险因子、收益分配系数等因素对知识共享意愿的影响。研究结果表明:联盟成员的共享意愿对收益分配系数的变化非常敏感;风险因子和知识共享程度对联盟成员的共享意愿影响较大。     

A SECRETARY PROBLEM ON FUZZY SETS

This paper deals with a secretary problem on fuzzy sets, which allows both the recall of applicants and the uncertainty of a current applicant receiving an offer of employment. A new decision criterion is given to select a satisfactory applicant. This result extends the works of M.C.K. Yang and M.H. Smith.     

模糊聚类最优划分判定的一种新模型

针对聚类分析的模糊模式未解决的问题:模糊划分空间中模糊最优划分的判定问题,提出一个新的判定模型。给出基于新的最优划分判定模型的应用例子,验证了模型算法应用的可行性。     

Advanced Mathematical Thinking

In this article we propose the following definition for advanced mathematical thinking: Thinking that requires deductive and rigorous reasoning about mathematical notions that are not entirely accessible to us through our five senses. We argue that this definition is not necessarily tied to a particular kind of educational experience; nor is it tied to a particular level of mathematics. We also give examples to illustrate the distinction we make between advanced mathematical thinking and elementary mathematical thinking. In particular, we discuss which kind of thinking may be required depending on the size of a mathematical problem, including problems involving infinity, and the types of models that are available.     

Bell-shaped Fuzzy Soft Sets and Their Application in Medical Diagnosis

A soft set theory is a new general mathematical tool to dealing with imprecision. The theory differs from traditional mathematical tools to dealing with uncertainties in which many mathematical theories failed. In this paper, we proposed the concept of Bell shaped fuzzy soft set and its application in medical diagnosis using arithmetic operations of discrete- Gaussian fuzzy number, triangular-Cauchy fuzzy number and Gaussian-Cauchy fuzzy number. As an integral part of this paper, we discuss the parametric form of Gaussian membership function is discussed with some important properties.     

Fuzzy区间数的一种排序方法及综合评判模型

根据模糊数学的原理,给出了区间数的一种排序方法,引入了可信度的概念,并就区间数fuzzy综合评判进行了数学建模.     

一道积分不等式的多种证法

通过对一道积分不等式提供多种不同的证法,希望能对学生创造性思维及发散性思维的培养、开阔解题思路、提高综合应用数学知识的能力等有所帮助,并使学生对证明不等式的常用方法有所了解.     

Fuzzy disk for covering fuzzy points

In this paper, we consider an important fuzzy version of the well known smallest covering circle problem which is also called the Euclidean 1-center problem. Here we are given a set of points in the plane whose locations are crisp. However, the requirement for coverage of each point is fuzzy as represented by its grade of membership. As such we qualify the points as fuzzy. In the above framework, we wish to find a fuzzy disk with minimum fuzzy area for covering the given fuzzy points. After developing a general model, certain special cases are investigated in detail. Polynomial algorithms are presented for the special cases.     

数学建模对高中生构建数学底层思维的作用及其教学实施建议

数学底层思维即用数学的眼光观察世界、用数学的思维分析世界以及用数学的语言表达世界,是人们面对自然和社会中纷繁多样的现象和问题时,所展现的自发的、不依赖监督的、融汇数学学科核心素养的思维方式.作为国家高中新课程标准中数学六大核心素养之一的数学建模,是培养学生数学底层思维的良好载体,对人才培养和社会发展均起到良好的促进作用.本文主要阐述了数学建模对高中生构建数学底层思维的作用,并结合教学实例给出教学实施建议.     

Which mathematics should we teach engineering students? An empirically grounded case for a broad notion of mathematical thinking

While many engineering educators have proposed changes to theway that mathematics is taught to engineers, the focus has oftenbeen on mathematical content knowledge. Work from the mathematicseducation community suggests that it may be beneficial to considera broader notion of mathematics: mathematical thinking. Schoenfeldidentifies five aspects of mathematical thinking: the mathematicscontent knowledge we want engineering students to learn as wellas problem-solving strategies, use of resources, attitudes andpractices. If we further consider the social and material resourcesavailable to students and the mathematical practices studentsengage in, we have a more complete understanding of the breadthof mathematics and mathematical thinking necessary for engineeringpractice. This article further discusses each of these aspectsof mathematical thinking and offers examples of mathematicalthinking practices based in the authors' previous empiricalstudies of engineering students' and practitioners' uses ofmathematics. The article also offers insights to inform theteaching of mathematics to engineering students.