Using fuzzy set theory to address the uncertainty of susceptibility to drought

This paper presents the technical aspects of a new methodology for assessing the susceptibility of society to drought. The methodology consists of a combination of inference modelling and fuzzy logic applications. Four steps are followed: (1) model input variables are selected—these variables reflect the main factors influencing susceptibility in a social group, population or region, (2) fuzzification—the uncertainties of the input variables are made explicit by representing them as ‘fuzzy membership functions’, (3) inference modelling—the input variables are used to construct a model made up of linguistic rules, and (4) defuzzification—results from the model in linguistic form are translated into numerical form, also through the use of fuzzy membership functions. The disadvantages and advantages of this methodology became apparent when it was applied to the assessment of susceptibility from three disciplinary perspectives: Disadvantages include the difficulty in validating results and the subjectivity involved with specifying fuzzy membership functions and the rules of the inference model. Advantages of the methodology are its transparency, because all model assumptions have to be made explicit in the form of inference rules; its flexibility, in that informal and expert knowledge can be incorporated through ‘fuzzy membership functions’ and through the rules in the inference model; and its versatility, since numerical data can be converted to linguistic statements and vice versa through the procedures of ‘fuzzification’ and ‘defuzzification’.     

中国原油进口来源国供应安全的定量评估

原油供给安全在中国国家安全中占有重要地位,对其定量评估可为防范风险提供政策参考。采用事件数据分析法定量测度中国与21个主要原油进口来源国之间的双边关系,结果表明：中国与大多数原油贸易伙伴的关系处于中低水平,但近十多年总体保持上升趋势,原油进口存在一定的政治关系风险但趋于下降。选用资源、政治、经济、运输、军事5个方面的11个指标,通过组合赋权法确定指标权重,运用集对分析方法评估中国21个原油进口来源国的供应安全度,并识别主要障碍因子。结果表明：21国供应安全度存在较大差异。部分中东国家、俄罗斯、委内瑞拉、哈萨克斯坦供应安全度较高,多数非洲国家和亚太国家供应安全度较低。供应国的原油资源状况、运输风险、政治风险是制约多数国家供应安全的主要障碍因素。为防范风险,中国需坚持开展多边“能源外交”,扩大战略石油储备等多方面施策方针。     

应用S-T模型对沉积物中PAHs的生态风险分级评价

本文构建S-T模型,运用集对分析理论（set pair analysis）构建基本模型,采用层次分析法并参考毒性当量因子确定各指标权重,应用三角模糊数（triangular fuzzy number）对差异度系数进行改进,基于加拿大沉积物环境质量标准,对沉积物中多环芳烃进行生态风险分级评价.结果表明,该模型考虑到化合物之间的相互作用因素并做模糊处理,对差异度系数进行改进体现沉积物中多环芳烃生态风险等级标准的模糊性,为持久性有机污染物生态风险分级评价提供了一种简便客观有效的方法.     

Optimizing the atmospheric sampling sites using fuzzy mathematic methods

A new approach applying fuzzy mathematic theorems, including the Primary Matrix Element Theorem and the Fisher Classification Method, was established to solve the optimization problem of atmospheric environmental sampling sites. According to its basis, an application in the optimization of sampling sites in the atmospheric environmental monitoring was discussed. The method was proven to be suitable and effective. The results were admitted and applied by the Environmental Protection Bureau (EPB) of many cities of China. A set of computer software of this approach was also comuletelv comniled and used.     

基于粗糙集理论的路段交通事故多发点成因分析

交通事故多为多种原因综合造成且具有不确定性。判别各因素对于引发交通事故的影响程度存在困难,因此,需要引入不确定性分析方法。基于粗糙集理论具有处理不精确、不确定与不完全数据的优势,是一种先进的并处于不断发展的不确定性分析和推理方法。笔者提出路段上交通事故成因分析的模型和方法。具体做法是,根据该路段事故多发点的统计数据建立基于粗糙集理论的决策表,再利用粗糙集模型的简约算法求出各个因素的重要性,从而判断各因素对交通事故的影响程度大小,为决策提供依据。以算例说明模型和方法的可用性。     

Quantifying the squeezing or stretching of fisheries as they adapt to displacement by marine reserves

The designation of no‐take marine reserves involves social and economic concerns due to the resulting displacement of fishing effort, when fishing rights are removed from those who traditionally fished within an area. Displacement can influence the functioning of the fishery and success of the reserve, yet levels of displacement are seldom quantified after reserve implementation and very rarely before that. We devised a simple analytical framework based on set theory to facilitate reserve placement. Implementation of the framework requires maps of fishing grounds, fishing effort, or catch per unit effort for at least 2 years. The framework quantifies the level of conflict that a reserve designation might cause in the fishing sector due to displacement and the opportunities to offset the conflict through fisher spatial mobility (i.e., ability of fishers to fish elsewhere). We also considered how the outputs of the framework can be used to identify targeted management interventions for each fishery. We applied the method in Honduras, where the largest marine protected area in Central America is being placed, for which spatial data on fishing effort were available for 6 fisheries over 3 years. The proposed closure had a greater negative impact on the shrimp and lobster scuba fisheries, which concentrated respectively 28% and 18% of their effort inside the reserve. These fisheries could not accommodate the displacement within existing fishing grounds. Both would be forced to stretch into new fishing grounds, which are available but are of unknown quality. These stakeholders will likely require compensation to offset costly exploratory fishing or to travel to fishing grounds farther away from port.     

Computing sustainable manufacturing index with fuzzy analytic hierarchy process

The growing industrial interest in adopting sustainability programmes has ushered in studies regarding sustainability indicators which have continually flourished in current literature. However, limited attention is given to the development of priority ranking, which is an important input for any adopting firm. This paper presents a hybrid multi-criteria approach in determining priority areas in sustainable manufacturing (SM). Using fuzzy analytic hierarchy process to address uncertainty in hierarchical decision-making, this paper determines SM priority strategies and eventually identifies even lower level strategies. The computed sustainable manufacturing index is presented at both the organizational and operational levels for a real case study of an industrial plastic manufacturing firm. This work provides a detailed and transparent hierarchical decision-making approach based on SM framework, the use of which could be valuable to practicing managers across industries in their pursuit of greater sustainability.     

Fuzzy experts on recreational vessels, a risk modelling approach for marine invasions

Understanding risks from the human-mediated spread of non-indigenous species (NIS) is a critical component of marine biosecurity management programmes. Recreational boating is well-recognised as a NIS pathway, especially at a regional scale. Assessment of risks from this pathway is therefore desirable for coastal environments where recreational boating occurs. However, formal or quantitative risk assessment for the recreational vessel pathway is often hampered by lack of data, hence often relies on expert opinion. The use of expert opinion itself is sometimes limited by its inherent vagueness, which can be an important source of uncertainty that reduces the validity and applicability of the assessment. Fuzzy logic, specifically interval type-2 fuzzy logic, is able to model and propagate this type of uncertainty, and is a useful technique in risk assessment where expert opinion is relied upon. The present paper describes the implementation of a NIS fuzzy expert system (FES) for assessing the risk of invasion in marine environments via recreational vessels. The FES was based on expert opinion gathered through systematic elicitation exercises, designed to acknowledge important uncertainty sources (e.g., underspecificity and ambiguity). The FES, using interval type-2 fuzzy logic, calculated an invasion risk value (integrating NIS infection and detection probabilities) for a range of invasion scenarios. These scenarios were defined by all possible combinations of two vessel types (moored and trailered), five vessel components (hull, deck, internal spaces, anchor, fishing gear), two infection modes (fouling, water/sediment retention) and six frequently visited marine habitats (marina, mooring, farm, ramp, wharf, anchorage). Although invasion risk values determined using the FES approach was scenario-specific, general patterns were identified. Moored vessels consistently showed higher invasion risk values than trailered vessels. Invasion risk values were higher for anchorages, moorings and wharves. Similarly, hull-fouling was revealed as the highest infection risk mode after pooling results across all habitats. The NIS fuzzy expert system presented here appears as a valuable prioritising and decision-making tool for NIS research, prevention and control activities. Its easy implementation and wide applicability should encourage the development and application of this type of system as an integral part of biosecurity, and other environmental management plans.     

考虑后悔与失望心理的应急救援任务匹配方法

为研究区间犹豫模糊信息下的应急救援任务匹配问题,提出考虑救援人员与受灾群众后悔与失望心理的决策方法以及确定双边主体效用值的方法,基于后悔理论与失望理论获得双边主体的后悔值与失望值,确定双边主体的综合感知效用值,并构建最大化综合感知效用值的多目标匹配优化模型,以得到最优匹配结果。研究结果表明：后悔与失望心理对双边主体的心理感知具有重要影响,但不影响最优匹配结果。研究结果可为应急救援任务匹配提供理论支持。     

横向流中曝气气泡生成动力学及模拟研究

采用水平集方法和变物性的单一流体运动方程,结合显式时间步进的ICE数值算法,三维模拟了推流式曝气池内气泡的生成过程.重点研究了横向水流对曝气气泡生成动力学的影响.模拟的气泡形状演变过程与国外学者的可视化实验符合较好.模拟结果显示,与在静止水流中气泡的生成相比,曝气池内水横向流动对气泡的生成过程有重要的影响.由于受到水流施加的横向曳力作用,气泡逐渐倾斜向下游生长;气泡生成的时间明显缩短;生成气泡的体积也显著地减小.