Incomplete analytic hierarchy process with minimum weighted ordinal violations

ABSTRACT

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision-making processes. Although ordinal information is crucial, there is a bias in the literature: cardinal models dominate. Ordinal models usually yield nonunique solutions; therefore, an approach blending ordinal and cardinal information is needed. In this work, we consider two cascading problems: first, we compute ordinal preferences, maximizing an index that combines ordinal and cardinal information; then, we obtain a cardinal ranking by enforcing ordinal constraints. Notably, we provide a sufficient condition (that is likely to be satisfied in practical cases) for the first problem to admit a unique solution and we develop a provably polynomial-time algorithm to compute it. The effectiveness of the proposed method is analyzed and compared with respect to other approaches and criteria at the state of the art.     

基于多特定决策类的不完备决策系统正域约简

现有的属性约简方法大部分关注决策系统中的所有决策类，而在实际决策过程中决策者往往仅关注决策系统中的一种或几种决策类。针对上述问题，提出基于多特定决策类的不完备决策系统正域约简的理论框架。首先，给出不完备决策系统单特定决策类正域约简的概念；第二，将单特定决策类正域约简推广到多特定决策类，构造了相应的差别矩阵及区分函数；第三，分析并证明了相关定理，提出基于差别矩阵的不完备决策系统多特定决策类正域约简算法（PRMDM）；最后，选取4组UCI数据集进行实验。在数据集Teaching-assistant-evaluation、House、Connectionist-bench和Cardiotocography上，基于差别矩阵的不完备决策系正域约简算法（PRDM）的平均约简长度分别为4.00、13.00、9.00和20.00，PRMDM算法（多特定决策类中决策类数目为2）的平均约简长度分别为3.00、8.00、8.00和18.00。实验结果验证了PRMDM算法的有效性。     

A PID-incorporated Latent Factorization of Tensors Approach to Dynamically Weighted Directed Network Analysis

A large-scale dynamically weighted directed network (DWDN) involving numerous entities and massive dynamic interaction is an essential data source in many big-data-related applications, like in a terminal interaction pattern analysis system (TIPAS). It can be represented by a high-dimensional and incomplete (HDI) tensor whose entries are mostly unknown. Yet such an HDI tensor contains a wealth knowledge regarding various desired patterns like potential links in a DWDN. A latent factorization-of-tensors (LFT) model proves to be highly efficient in extracting such knowledge from an HDI tensor, which is commonly achieved via a stochastic gradient descent (SGD) solver. However, an SGD-based LFT model suffers from slow convergence that impairs its efficiency on large-scale DWDNs. To address this issue, this work proposes a proportional-integral-derivative (PID)-incorporated LFT model. It constructs an adjusted instance error based on the PID control principle, and then substitutes it into an SGD solver to improve the convergence rate. Empirical studies on two DWDNs generated by a real TIPAS show that compared with state-of-the-art models, the proposed model achieves significant efficiency gain as well as highly competitive prediction accuracy when handling the task of missing link prediction for a given DWDN.      

配风方式对垃圾焚烧炉燃烧效率的影响分析

以高水分垃圾(水分为55％)为例，对焚烧炉3项主要热损失(固体不完全燃烧热损失、气体不完全燃烧热损失和排烟热损失)进行了计算，得到了空气温度、空气系数、烟气温度、助燃油量等参数与焚烧炉主要热损失之间的关系。适当的配风方式(即合适的空气温度和空气系数)，可以使焚烧炉内主要热损失减小，从而可以提高焚烧炉的燃烧效率。分析结果还表明，空气温度不是越高越好。     

完整和不完整缓和曲线在AutoCAD中的精确表示

提出了用三次样条曲线绘制缓和曲线的方法.基于缓和曲线参数方程可以用复合Simpson公式表示,推出了绘制完整缓和曲线所需等弧段数n和绘制不完整缓和曲线所需等弧段数n1的严密公式和简捷实用公式.通过算例分析,验证了本文所提出的绘制缓和曲线方法的有效性.     

生态服务功能视角下的城市用地分类初探

当前,城市用地的分类与使用关注于人类的利用方式,忽视了土地的生态服务价值。在生态服务功能的视角下,将城市用地分为生态用地、潜在生态用地与非生态用地。其中,潜在生态用地即满足了人们的使用需求又具备一定的生态服务功能,应充分重视。生态服务功能视角下的城市用地分类与现行用地分类国标之间存在不完全对应关系,潜在生态用地对应的部分城市建设用地需辅以一系列控制指标加以明确。     

合同签约与履约两阶段中的风险分担框架构建分析

与合同签约与履约两阶段相对应,以风险初次分担和风险再分担作为风险分担框架构建的主干,借鉴不完全合同理论,分析风险初次分担和风险再分担的主要功能,以合同再谈判为纽带,实现两阶段的风险分担转承。风险初次分担和风险再分担相互联动,在合同层面上实现风险分担,可以弥补合同的不完全性。     

模拟不完全再生FCC装置CO锅炉中NH_3的转化规律

将含有NH_3、CO、空气和氮气的混合气体通过高温反应器,模拟考察不完全再生FCC装置CO锅炉中NH_3的转化及NO_x的生成规律。结果表明:NH_3在975℃的温度下,生成NO_x的比例为30%~45%;CO锅炉入口的氧含量越高,NO_x生成比例也越高;体系中CO的存在,对NO_x的生成有一定的抑制作用,降低温度、提高CO浓度可明显降低NO_x排放。     

不完全契约视角下PPP项目合作剩余分配的博弈分析

PPP作为一种典型的项目融资模式,为基础设施建设和公共物品服务提供了一种新的思路,解决了公共部门资金匮乏和运营效率低等问题,并在世界各国得到了广泛推广和应用。然而PPP因自身的项目特点使其契约具有不完全性,在公私合作双方达成初始契约后的合作协商阶段,初始契约中未明确规定的事项通过双方协商合作,可以获得初始契约中未涉及的合作剩余收益。针对该部分合作剩余收益,合作双方对分配份额进行谈判,考虑合作双方地位的非对称性以及信息不对称性,建立不完全信息动态博弈模型,求解精炼纳什均衡解,分析影响分配结果的因素,得出博弈方的信息类型对博弈结果影响最为显著,从而为PPP项目合作剩余分配谈判提供了有益参考。