Acceptable consistency of aggregated comparison matrices in analytic hierarchy process

The analytic hierarchy process is a method for solving multiple criteria decision problems, as well as group decision making. The weighted geometric mean method is appropriate when aggregation of individual judgements is used. This paper presents a new proof which confirms the property that if the comparison matrices of all decision makers are of acceptable consistency, then the weighted geometric mean complex judgement matrix (WGMCJM) also is of acceptable consistency. This property was presented and first proved by Xu (2000), but Lin et al. (2008) rejected the proof. We also discuss under what conditions the WGMCJM is of acceptable consistency when not all comparison matrices of decision makers are of acceptable consistency. For this case we determine the sufficient condition for the WGMCJM to be of acceptable consistency and provide numerical examples. For a special case of two decision makers with 3 × 3 comparison matrices we find out some additional conditions for the WGMCJM to be of acceptable consistency.     

层次分析中混合最小二乘法的收敛性迭代算法

混合最小二乘法是层次 的一种排序方法，它是由陈宝廉在文[1]中提出的。西文给出了此排序方法的一个收敛性迭代算法，并进行了算例分析。     

聚烯烃共混物注射制品的形态控制与多层次结构

从注射制品形态控制和结构表征的角度探讨高分子材料加工-形态-性能之间的关系.研究中采用动态保压成型方法来制备注射样品,在注射成型过程中引入剪切应力场的作用,制得的样品表现出明显的多层次结构,从外向里分别为皮层、剪切层、芯层,表现出不同的相形态、结晶形貌以及取向行为.研究发现,剪切应力对聚烯烃的形态发展和结构变化具有重要影响.在剪切应力的作用下,聚烯烃共混物中分散相会发生变形、取向,从而导致共混物的相转变点发生移动;结晶形态从球晶转变为shish-kebab结构;聚烯烃共混物在高剪切应力下相容,低剪切下发生相分离;HDPE/PP共混物的注射制品中出现附生结晶等现象.     

Networks with small stretch number

In a previous work, the authors introduced the class of graphs with bounded induced distance of order k (BID(k) for short), to model non-reliable interconnection networks. A network modeled as a graph in BID(k) can be characterized as follows: if some nodes have failed, as long as two nodes remain connected, the distance between these nodes in the faulty graph is at most k times the distance in the non-faulty graph. The smallest k such that GBID(k) is called stretch number of G. We show an odd characteristic of the stretch numbers: every rational number greater or equal 2 is a stretch number, but only discrete values are admissible for smaller stretch numbers. Moreover, we give a new characterization of classes BID(2−1/i), i1, based on forbidden induced subgraphs. By using this characterization, we provide a polynomial time recognition algorithm for graphs belonging to these classes, while the general recognition problem is Co-NP-complete.     

层次分析中排序的一种新方法

Saaty提出的特征向量排序方法（EM）已被广泛应用于层次分析（AHP）中。本文提出一种判断矩阵排序的最小扰动性（LPM）,并给出一个收敛性迭代算法和一些算例。LPM在几个重要方面优于EM。理论分析和数据结果表明：LPM是一种可行且有效的排序方法。     

Nonlinear growth in weighted networks with neighborhood preferential attachment

We propose a nonlinear growing model for weighted networks with two significant characteristics: (i) the new weights triggered by new edges at each time step grow nonlinearly with time; and (ii) a neighborhood local-world exists for local preferential attachment, which is defined as one selected node and its neighbors. Global strength-driven and local weight-driven preferential attachment mechanisms are involved in our model. We study the evolution process through both mathematical analysis and numerical simulation, and find that the model exhibits a wide-range power-law distribution for node degree, strength, and weight. In particular, a nonlinear degree–strength relationship is obtained. This nonlinearity implies that accelerating growth of new weights plays a nontrivial role compared with accelerating growth of edges. Because of the specific local-world model, a small-world property emerges, and a significant hierarchical organization, independent of the parameters, is observed.     

我国建筑企业核心竞争力评价体系研究

对建筑企业核心竞争力的理论渊源与内涵特征进行了分析,并通过对国内建筑企业的调研,构建了包括建筑引领能力、建筑整合能力和建筑品牌能力三个方面的建筑企业核心竞争力评价指标体系.在此基础上,运用层次分析法(AHP)和模糊综合评判方法(FCE)建立了建筑企业核心竞争力评价模型,并以实例为证,为建筑企业有效的识别与评价其核心竞争力提供了理论依据.     

AHP-based synergy allocation to the partners in a merger

Many corporations try to overcome vulnerabilities by external alliances with other corporations. This paper concentrates on the merger case in member states of the European Community under the premise that synergies are to be expected from such a transaction. In this context synergy will be understood as the difference between the capitalized earning power of the merger firm and the sum of the capitalized earning powers the companies could expect when operating alone. This article presents a method to allocate the financial effect to the partners in a merger. Based on the formal procedure of the Analytic Hierarchy Process, the method allocates synergy to the partners according to the impact intensities of their performance potentials on this synergistic effect.     

模糊环境下的一种多准则决策方法

本文利用模糊集理论以及层次分析法（AHP）原理，建立了一种在模糊环境下对方案进行择优或排序的多准则决策方法。