基于隶属度的软件可靠性综合预测方法

将多模型综合的思想和"变点"思想相结合,给出了一种简单有效且具有普适性的软件可靠性预测方法——基于模糊隶属度的软件可靠性多模型综合预测方法。首先阐述了多模型综合预测问题的一般描述,并介绍了模型评价准则,然后给出了单个模型权重的确定方法和该方法的一般步骤,最后用实际数据验证了方法的有效性及普适性。     

区间直觉语言Frank集结算子及其在决策中的应用

基于区间直觉语言变量和Frank算子的概念,首先提出区间直觉语言环境下Frank算子的运算规则;然后介绍几种区间直觉语言Frank信息集成算子,如:区间直觉语言Frank加权算术平均算子、区间直觉语言Frank加权几何平均算子、区间直觉语言广义Frank加权算术平均算子等,并介绍各算子具有的性质,同时,基于上述算子提出两种属性权重为实数且属性值为区间直觉语言变量的多属性决策方法;最后,结合示例表明所提出方法的有效性和实用性.     

计算机辅助事故树绘图研究

实现计算机辅助事故树绘图是计算机辅助事故树绘图是计算机辅助事故树分析中的重要组成部分。本文给出了两种实用的计算机辅助事故绘图方法,即“堆砖法”和“控制点法”。而后者由于真正实现了交互式绘图,解决了事故数据的自动采集和处理,因而实际上也是事故树的一种数据输入法,即由图形得到事故树全部数据的图形输入法。文中对这两种方法的算法进行了详细描述,这两种思想和算法不仅解决了事故树的实际绘制问题,而且对绘制其它类型的树及图将大有益处。     

Parallel Machine Scheduling Models with Fuzzy Parameters and Precedence Constraints： A Credibility Approach

A method for modeling the parallel machine scheduling problems with fuzzy parameters and precedence constraints based on credibility measure is provided. For the given n jobs to be processed on m machines, it is assumed that the processing times and the due dates are nonnegative fuzzy numbers and all the weights are positive, crisp numbers. Based on credibility measure, three parallel machine scheduling problems and a goal-programming model are formulated. Feasible schedules are evaluated not only by their objective values but also by the credibility degree of satisfaction with their precedence constraints. The genetic algorithm is utilized to find the best solutions in a short period of time. An illustrative numerical example is also given. Simulation results show that the proposed models are effective, which can deal with the parallel machine scheduling problems with fuzzy parameters and precedence constraints based on credibility measure.     

事故树图的自动绘制及其空间优化

给出“堆砖法”实现事故树图自动绘制的基本思想、数据结构和算法。在定义了逻辑门的元素面积、结构面积和空间优化系数后，探讨了事故树图的空间优化；最后给出应用实例。     

Ranking Method for Complementary Judgment Matrixes with Fuzzy Numbers Based on Hausdorff Metric Distance

A method for ranking complementary judgment matrixes with traspezoidal fuzzy numbers based on Hausdorff metric distance and fuzzy compromise decision approach is proposed. With regard to fuzzy number complementary judgment matrixes given by a decider group whose members have various weights, the expert＇s information was aggregated first by means of simple weight average（SWA） method and Bonissone calculational method. Hence a matrix including all the experts＇ preference information was got. Then the matrix＇ column members were added up and the fuzzy evaluation values of the alternatives were got. Lastly, the Hausdorff metric distance and fuzzy compromise decision approach were used to rank the fuzzy evaluation values and then the ranking values of all the alternatives were got. Because exact numbers and triangular fuzzy numbers could all be transformed into trapezoidal fuzzy numbers, the method developed can rank complementary judgment matrixes with trapezoidal fuzzy numbers, triangular fuzzy numbers and exact numbers as well. An illustrative example is also given to verify the developed method and to demonstrate its feasibility and practicality.     

考虑政府补贴的新产品与再制造产品定价模型

在有限财政预算下,政府对再制造产品进行补贴,以促进再制造产品的生产和销售.基于此,首先建立政府对制造商进行生产补贴的三层决策模型,该模型中制造商与新产品销售商和再制造产品销售商进行Stackelberg博弈,同时两个销售商之间通过Bertrand博弈确定各自的销售价,通过对解的分析,揭示生产补贴对批发价、销售价以及销售量的影响,并通过与无补贴销售量的比较,进一步给出政府补贴提升再制造产品销量的根本原因;然后给出对再制造产品销售商进行销售补贴下的三层模型,证明销售补贴与生产补贴在影响销售价格、销售量方面的等价性;接着讨论集中决策供应链中新产品与再制造产品销售的二层决策模型,比较集中决策供应链与分散决策供应链再制造产品的销售量高低并分析其原因,指出政府倾向于优先补贴的供应链类型;最后给出一个算例,分析不同类型供应链中再制造产品销售量对参数的敏感性.     

Eigenvector Method for Ranking Alternatives with Vague Value Measurements

An eigenvector method for ranking alternatives whose measurements are given as vague values is provided. Firstly, a positive matrix is constructed which is defined as evaluation information matrix (EIM). Based on four assumptions for evaluating alternatives, a ranking eigenvector is defined. And then it is proved, based on positive matrix theory, that the EIM’s eigenvector corresponding to the maximal eigenvalue is the ranking vector. For alternatives whose characteristics are presented by vague sets, the proposed techniques can evaluate the degree of suitability to which an alternative satisfies the decision-maker’s requirement efficiently.     

犹豫梯形模糊算子在多属性决策中的应用

结合犹豫模糊集和梯形模糊集,提出犹豫梯形模糊集的概念。首先,给出犹豫梯形模糊数的运算法则,探讨犹豫梯形模糊加权平均（HTrFWA）算子和犹豫梯形模糊加权几何（HTrFWG）算子。考虑到犹豫梯形模糊数的有序位置存在具有不同权重的情况,定义了犹豫梯形模糊有序加权平均（HTrFOWA）算子和犹豫梯形模糊有序加权几何（HTrFOWG）算子,并讨论了其相应的运算定理。其次,构建犹豫梯形模糊数的得分函数,并给出犹豫梯形模糊数的排序方法。最后,提出了基于HTrFWA算子和HTrFWG算子的犹豫梯形模糊多属性决策方法,并通过实例进行验证。     

基于熵权灰色关联模型的移动数据业务综合绩效评价算法

在建立了移动数据业务评价指标体系的基础上,引入熵权法和灰色关联分析相结合的综合评价模型。熵权法是一种客观赋权方法,相对那些主观赋值法,精度更高。而灰色关联分析法对定性信息进行量化处理,减少了主观因素的影响。二者相结合充分利用了各指标的所有信息,提高了评价结论的准确性,最后通过实例验证了该模型的有效性和适用性。