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The Fuzzy Analytic Hierarchy Process in the Investment Appraisal of Drilling Methods 模糊层次分析法在钻井方法投资评价中的应用
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181008
Olubukola O. Tokede, Adam Ayinla, S. Wamuziri
Abstract The robust appraisal of exploration drilling concepts is essential for establishing the economic viability of a prospective recovery field. This study evaluates the different concept selection methods that were considered for drilling operations at the Trym field in Norway. The construction of drilling rigs is a capital-intensive process, and it involves high levels of economic risk. These risks can be broadly categorised as aleatoric (i.e. those related to chance) and epistemic (i.e. those related to knowledge). Evaluating risks in the investment appraisal process tends to be a complicated process. Project risks are evaluated using Monte Carlo simulation (MCS) and are based on the fuzzy analytic hierarchy process (AHP). MCS provides a useful means of evaluating variabilities (i.e. aleatoric risks) in oil drilling operations. However, many of the economic risks in oil drilling processes are unanticipated, and, in some cases, are not readily expressible in quantitative values. The fuzzy AHP is therefore used to appraise the qualitatively defined indirect revenues comprising risks that affect future flexibilities, schedule certainty and health and safety performance. Both the Monte Carlo technique and the fuzzy AHP technique found that a cumulative revenue variation of up to 30% is possible in any of the considered drilling options. The fuzzy AHP technique estimates that the chances of profitability being less than NOK 1 billion over a five-year period is 0.5%, while the Monte Carlo technique estimates suggest a more conservative proportion of 10%. Overall, the fuzzy AHP technique is easy to use and flexible, and it demonstrates increased robustness and improved predictability.
对勘探钻井概念进行强有力的评估对于确定有前景的采收率油田的经济可行性至关重要。本研究评估了挪威Trym油田钻井作业中考虑的不同概念选择方法。钻井平台的建设是一个资本密集型的过程,它涉及高水平的经济风险。这些风险可以大致分为任意风险(即与机会有关的风险)和认知风险(即与知识有关的风险)。在投资评估过程中,风险评估往往是一个复杂的过程。采用蒙特卡罗模拟法(MCS)和模糊层次分析法(AHP)对项目风险进行了评价。MCS为石油钻井作业的可变性(即任意风险)提供了一种有用的评估手段。然而,石油钻探过程中的许多经济风险是无法预料的,在某些情况下,无法用定量值表示。因此,模糊层次分析法用于评价定性界定的间接收入,包括影响未来灵活性、进度确定性以及健康和安全绩效的风险。蒙特卡罗技术和模糊层次分析法都发现,在考虑的任何一种钻井方案中,累积收益变化都可能高达30%。模糊层次分析法估计,五年内盈利能力低于10亿挪威克朗的可能性为0.5%,而蒙特卡洛法估计的保守比例为10%。总的来说,模糊AHP技术易于使用和灵活,并且显示出增强的鲁棒性和改进的可预测性。
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引用次数: 0
Introduction to Fuzzy Logic in Construction Engineering and Management 模糊逻辑在建筑工程与管理中的应用
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181001
A. Fayek, Rodolfo Lourenzutti
Construction is a highly dynamic environment with numerous interacting factors that affect construction processes and decisions. Uncertainty is inherent in most aspects of construction engineering and management, and traditionally, it has been treated as a random phenomenon. However, there are many types of uncertainty that are not naturally modelled by probability theory, such as subjectivity, ambiguity and vagueness. Fuzzy logic provides an approach for handling such uncertainties. However, fuzzy logic alone has some limitations, including its inability to learn from data and its extensive reliance on expert knowledge. To address these limitations, fuzzy logic has been combined with other techniques to create fuzzy hybrid techniques, which have helped solve complex problems in construction. In this chapter, a background on fuzzy logic in the context of construction engineering and management applications is presented. The chapter provides an introduction to uncertainty in construction and illustrates how fuzzy logic can improve construction modelling and decision-making. The role of fuzzy logic in representing uncertainty is contrasted with that of probability theory. Introductory material is presented on key definitions, properties and methods of fuzzy logic, including the definition and representation of fuzzy sets and membership functions, basic operations on fuzzy sets, fuzzy relations and compositions, defuzzification methods, entropy for fuzzy sets, fuzzy numbers, methods for the specification of membership functions and fuzzy rule-based systems. Finally, a discussion on the need for fuzzy hybrid modelling in construction applications is presented, and future research directions are proposed.
建筑是一个高度动态的环境,有许多相互作用的因素影响施工过程和决策。不确定性在建筑工程和管理的大多数方面都是固有的,传统上,它被视为一种随机现象。然而,有许多类型的不确定性不是由概率论自然建模的,例如主观性、模糊性和模糊性。模糊逻辑为处理这种不确定性提供了一种方法。然而,模糊逻辑本身也有一些局限性,包括无法从数据中学习,以及对专家知识的广泛依赖。为了解决这些限制,模糊逻辑与其他技术相结合,创造了模糊混合技术,这有助于解决建筑中的复杂问题。在本章中,介绍了模糊逻辑在建筑工程和管理中的应用背景。本章介绍了施工中的不确定性,并说明模糊逻辑如何改善施工建模和决策。模糊逻辑在表示不确定性方面的作用与概率论的作用进行了对比。介绍模糊逻辑的关键定义、性质和方法,包括模糊集和隶属函数的定义和表示、模糊集的基本运算、模糊关系和组成、去模糊化方法、模糊集的熵、模糊数、隶属函数的说明方法和基于模糊规则的系统。最后,对模糊混合建模在建筑应用中的必要性进行了讨论,并提出了未来的研究方向。
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引用次数: 10
Flexible Management of Essential Construction Tasks Using Fuzzy OLAP Cubes 使用模糊OLAP多维数据集灵活管理基本构建任务
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181010
Nicolás Marín Ruíz, M. Martínez-Rojas, C. M. Férnandez, J. M. Soto-Hidalgo, J. Rubio-Romero, María Amparo Vila Miranda
Abstract The construction sector has significantly evolved in recent decades, in parallel with a huge increase in the amount of data generated and exchanged in any construction project. These data need to be managed in order to complete a successful project in terms of quality, cost and schedule in the the context of a safe project environment while appropriately organising many construction documents. However, the origin of these data is very diverse, mainly due to the sector’s characteristics. Moreover, these data are affected by uncertainty, complexity and diversity due to the imprecise nature of the many factors involved in construction projects. As a result, construction project data are associated with large, irregular and scattered datasets. The objective of this chapter is to introduce an approach based on a fuzzy multi-dimensional model and on line analytical processing (OLAP) operations in order to manage construction data and support the decision-making process based on previous experiences. On one hand, the proposal allows for the integration of data in a common repository which is accessible to users along the whole project’s life cycle. On the other hand, it allows for the establishment of more flexible structures for representing the data of the main tasks in the construction project management domain. The incorporation of this fuzzy framework allows for the management of imprecision in construction data and provides easy and intuitive access to users so that they can make more reliable decisions.
近几十年来,建筑行业有了显著的发展,与此同时,任何建筑项目中产生和交换的数据量也在大幅增加。这些数据需要管理,以便在安全的项目环境下,在质量、成本和进度方面完成一个成功的项目,同时适当地组织许多施工文件。然而,这些数据的来源是非常多样化的,主要是由于行业的特点。此外,由于建筑项目中涉及的许多因素的不精确性,这些数据受到不确定性、复杂性和多样性的影响。因此,建设项目数据与大型、不规则和分散的数据集相关联。本章的目的是介绍一种基于模糊多维模型和在线分析处理(OLAP)操作的方法,以管理施工数据并支持基于以往经验的决策过程。一方面,该提案允许将数据集成到一个公共存储库中,用户可以在整个项目的生命周期中访问该存储库。另一方面,它允许建立更灵活的结构来表示建设项目管理领域中主要任务的数据。这种模糊框架的结合允许管理建筑数据中的不精确,并为用户提供简单直观的访问,以便他们可以做出更可靠的决策。
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引用次数: 2
Fuzzy Set Theory and Extensions for Multi-criteria Decision-making in Construction Management 施工管理多准则决策的模糊集理论及推广
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181005
Long Chen, Wei Pan
Abstract With numerous and ambiguous sets of information and often conflicting requirements, construction management is a complex process involving much uncertainty. Decision makers may be challenged with satisfying multiple criteria using vague information. Fuzzy multi-criteria decision-making (FMCDM) provides an innovative approach for addressing complex problems featuring diverse decision makers’ interests, conflicting objectives and numerous but uncertain bits of information. FMCDM has therefore been widely applied in construction management. With the increase in information complexity, extensions of fuzzy set (FS) theory have been generated and adopted to improve its capacity to address this complexity. Examples include hesitant FSs (HFSs), intuitionistic FSs (IFSs) and type-2 FSs (T2FSs). This chapter introduces commonly used FMCDM methods, examines their applications in construction management and discusses trends in future research and application. The chapter first introduces the MCDM process as well as FS theory and its three main extensions, namely, HFSs, IFSs and T2FSs. The chapter then explores the linkage between FS theory and its extensions and MCDM approaches. In total, 17 FMCDM methods are reviewed and two FMCDM methods (i.e. T2FS-TOPSIS and T2FS-PROMETHEE) are further improved based on the literature. These 19 FMCDM methods with their corresponding applications in construction management are discussed in a systematic manner. This review and development of FS theory and its extensions should help both researchers and practitioners better understand and handle information uncertainty in complex decision problems.
施工管理是一个包含大量不确定因素的复杂过程,其中包含大量模糊的信息和相互冲突的需求。决策者可能会面临使用模糊信息满足多个标准的挑战。模糊多准则决策(FMCDM)为解决复杂问题提供了一种创新的方法,这些复杂问题具有决策者不同的利益、相互冲突的目标和大量但不确定的信息。因此FMCDM在施工管理中得到了广泛的应用。随着信息复杂性的增加,模糊集(FS)理论的扩展被提出并用于提高其处理这种复杂性的能力。例子包括犹豫型金融服务者(hfs)、直觉型金融服务者(IFSs)和2型金融服务者(t2fs)。本章介绍了常用的FMCDM方法,考察了它们在施工管理中的应用,并讨论了未来研究和应用的趋势。本章首先介绍了MCDM过程和FS理论及其三个主要的扩展,即hfs、IFSs和t2fs。然后,本章探讨了FS理论及其扩展和MCDM方法之间的联系。本文共综述了17种FMCDM方法,并在文献基础上对T2FS-TOPSIS和T2FS-PROMETHEE两种FMCDM方法进行了进一步改进。系统地讨论了这19种FMCDM方法及其在施工管理中的应用。本文对信息不确定性理论及其扩展的回顾和发展,将有助于研究者和实践者更好地理解和处理复杂决策问题中的信息不确定性。
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引用次数: 6
Fuzzy Consensus and Fuzzy Aggregation Processes for Multi-criteria Group Decision-making Problems in Construction Engineering and Management 建筑工程与管理中多准则群决策问题的模糊共识与模糊聚集过程
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181006
N. Siraj, A. Fayek, M. Elbarkouky
Abstract Most decision-making problems in construction are complex and difficult to solve, as they involve multiple criteria and multiple decision makers in addition to subjective uncertainties, imprecisions and vagueness surrounding the decision-making process. In many instances, the decision-making process is based on linguistic terms rather than numerical values. Hence, structured fuzzy consensus-reaching processes and fuzzy aggregation methods are instrumental in multi-criteria group decision-making (MCGDM) problems for capturing the point of view of a group of experts. This chapter outlines different fuzzy consensus-reaching processes and fuzzy aggregation methods. It presents the background of the basic theory and formulation of these processes and methods, as well as numerical examples that illustrate their theory and formulation. Application areas of fuzzy consensus reaching and fuzzy aggregation in the construction domain are identified, and an overview of previously developed frameworks for fuzzy consensus reaching and fuzzy aggregation is provided. Finally, areas for future work are presented that highlight emerging trends and the imminent needs of fuzzy consensus reaching and fuzzy aggregation in the construction domain.
施工决策问题大多是复杂而难以解决的问题,因为决策过程中存在主观的不确定性、不精确性和模糊性,涉及多个标准和多个决策者。在许多情况下,决策过程是基于语言术语而不是数值。因此,结构化模糊共识达成过程和模糊聚合方法在多准则群体决策(MCGDM)问题中用于捕获一组专家的观点。本章概述了不同的模糊共识达成过程和模糊聚合方法。它介绍了这些过程和方法的基本理论和公式的背景,以及说明它们的理论和公式的数值例子。确定了模糊共识达成和模糊聚合在建筑领域的应用领域,并概述了以往开发的模糊共识达成和模糊聚合框架。最后,提出了未来工作的领域,突出了建筑领域模糊共识达成和模糊聚合的新趋势和迫切需要。
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引用次数: 0
Fuzzy AHP with Applications in Evaluating Construction Project Complexity 模糊层次分析法在建设项目复杂性评价中的应用
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181007
L. D. Nguyen, Long Le-Hoai, Dai Q. Tran, C. Dang, C. V. Nguyen
Abstract Managing complex construction projects is a challenging task because it involves multiple factors and decision-making processes. A systematic evaluation of these complex factors is imperative for achieving project success. As most of these factors are qualitative or intangible in nature, decision makers often rely on subjective judgements when comparing and evaluating them. The hybrid techniques that integrate fuzzy set theory and the analytic hierarchy process (AHP) are able to deal with such problems. This chapter discusses various hybrid techniques of the fuzzy AHP and presents an application of these techniques to the evaluation of transportation project complexity, which is essential for prioritising resource allocation and assessing project performance. Project complexity can be quantified and visualised effectively with the application of the fuzzy AHP. This chapter enhances the understanding of construction project complexity and fuzzy hybrid computing in construction engineering and management. Future research should address the calibration of fuzzy membership functions in pairwise comparisons for each individual decision maker and develop computational tools for solving optimisation problems in the constrained fuzzy AHP. In the area of construction project complexity, future research should investigate how scarce resources are allocated to better manage complex projects and how appropriate resource allocation improves their performance.
管理复杂的建设项目是一项具有挑战性的任务,因为它涉及多个因素和决策过程。对这些复杂因素进行系统的评估是取得项目成功的必要条件。由于这些因素大多是定性的或无形的,决策者在比较和评价这些因素时往往依赖于主观判断。将模糊集理论与层次分析法(AHP)相结合的混合技术可以解决这类问题。本章讨论了各种模糊层次分析法的混合技术,并介绍了这些技术在交通项目复杂性评估中的应用,这对于资源分配的优先级和评估项目绩效至关重要。应用模糊层次分析法可以有效地对项目复杂性进行量化和可视化。本章增强了对建筑工程和管理中工程项目复杂性和模糊混合计算的理解。未来的研究应该解决每个个体决策者在两两比较中模糊隶属函数的校准问题,并开发计算工具来解决约束模糊层次分析法中的优化问题。在建设项目复杂性领域,未来的研究应该探讨如何分配稀缺资源以更好地管理复杂项目,以及合理的资源分配如何提高项目绩效。
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引用次数: 11
Fuzzy Simulation Techniques in Construction Engineering and Management 模糊仿真技术在建筑工程与管理中的应用
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181004
Mohammad Raoufi, N. G. Seresht, N. Siraj, A. Fayek
Abstract Several different simulation techniques, such as discrete event simulation (DES), system dynamics (SD) and agent-based modelling (ABM), have been used to model complex construction systems such as construction processes and project management practices; however, these techniques do not take into account the subjective uncertainties that exist in many construction systems. Integrating fuzzy logic with simulation techniques enhances the capabilities of those simulation techniques, and the resultant fuzzy simulation models are then capable of handling subjective uncertainties in complex construction systems. The objectives of this chapter are to show how to integrate fuzzy logic and simulation techniques in construction modelling and to provide methodologies for the development of fuzzy simulation models in construction. In this chapter, an overview of simulation techniques that are used in construction is presented. Next, the advancements that have been made by integrating fuzzy logic and simulation techniques are introduced. Methodologies for developing fuzzy simulation models are then proposed. Finally, the process of selecting a suitable simulation technique for each particular aspect of construction modelling is discussed.
几种不同的仿真技术,如离散事件仿真(DES)、系统动力学(SD)和基于主体的建模(ABM),已被用于模拟复杂的施工系统,如施工过程和项目管理实践;然而,这些技术并没有考虑到存在于许多建筑系统中的主观不确定性。将模糊逻辑与仿真技术相结合,提高了仿真技术的能力,得到的模糊仿真模型能够处理复杂建筑系统中的主观不确定性。本章的目的是展示如何在建筑建模中集成模糊逻辑和仿真技术,并为建筑中模糊仿真模型的开发提供方法。在本章中,概述了在建筑中使用的模拟技术。其次,介绍了模糊逻辑和仿真技术相结合所取得的进展。然后提出了开发模糊仿真模型的方法。最后,讨论了为建筑建模的每个特定方面选择合适的仿真技术的过程。
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引用次数: 4
Overview of Fuzzy Hybrid Techniques in Construction Engineering and Management 建筑工程与管理中的模糊混合技术综述
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181002
N. G. Seresht, Rodolfo Lourenzutti, A. Salah, A. Fayek
Abstract Due to the increasing size and complexity of construction projects, construction engineering and management involves the coordination of many complex and dynamic processes and relies on the analysis of uncertain, imprecise and incomplete information, including subjective and linguistically expressed information. Various modelling and computing techniques have been used by construction researchers and applied to practical construction problems in order to overcome these challenges, including fuzzy hybrid techniques. Fuzzy hybrid techniques combine the human-like reasoning capabilities of fuzzy logic with the capabilities of other techniques, such as optimization, machine learning, multi-criteria decision-making (MCDM) and simulation, to capitalise on their strengths and overcome their limitations. Based on a review of construction literature, this chapter identifies the most common types of fuzzy hybrid techniques applied to construction problems and reviews selected papers in each category of fuzzy hybrid technique to illustrate their capabilities for addressing construction challenges. Finally, this chapter discusses areas for future development of fuzzy hybrid techniques that will increase their capabilities for solving construction-related problems. The contributions of this chapter are threefold: (1) the limitations of some standard techniques for solving construction problems are discussed, as are the ways that fuzzy methods have been hybridized with these techniques in order to address their limitations; (2) a review of existing applications of fuzzy hybrid techniques in construction is provided in order to illustrate the capabilities of these techniques for solving a variety of construction problems and (3) potential improvements in each category of fuzzy hybrid technique in construction are provided, as areas for future research.
由于建设项目的规模和复杂性日益增加,建筑工程和管理涉及到许多复杂动态过程的协调,并依赖于对不确定、不精确和不完整信息的分析,包括主观信息和语言表达信息。为了克服这些挑战,建筑研究人员已经使用了各种建模和计算技术,并将其应用于实际的建筑问题,包括模糊混合技术。模糊混合技术将模糊逻辑的类人推理能力与其他技术的能力相结合,如优化、机器学习、多标准决策(MCDM)和模拟,以利用它们的优势并克服它们的局限性。基于对建筑文献的回顾,本章确定了应用于建筑问题的最常见类型的模糊混合技术,并回顾了每一类模糊混合技术中的选定论文,以说明它们解决建筑挑战的能力。最后,本章讨论了模糊混合技术未来发展的领域,这将增加它们解决建筑相关问题的能力。本章的贡献有三个方面:(1)讨论了解决构造问题的一些标准技术的局限性,以及模糊方法与这些技术相结合以解决其局限性的方法;(2)回顾了模糊混合技术在建筑中的现有应用,以说明这些技术在解决各种建筑问题方面的能力;(3)提供了模糊混合技术在建筑中的每个类别的潜在改进,作为未来研究的领域。
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引用次数: 9
Using an Adaptive Neuro-fuzzy Inference System for Tender Price Index Forecasting: A Univariate Approach 应用自适应神经模糊推理系统进行投标价格指数预测:一种单变量方法
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181011
O. Oshodi, K. Lam
Abstract Fluctuations in the tender price index have an adverse effect on the construction sector and the economy at large. This is largely due to the positive relationship that exists between the construction industry and economic growth. The consequences of these variations include cost overruns and schedule delays, among others. An accurate forecast of the tender price index is good for controlling the uncertainty associated with its variation. In the present study, the efficacy of using an adaptive neuro-fuzzy inference system (ANFIS) for tender price forecasting is investigated. In addition, the Box–Jenkins model, which is considered a benchmark technique, was used to evaluate the performance of the ANFIS model. The results demonstrate that the ANFIS model is superior to the Box–Jenkins model in terms of the accuracy and reliability of the forecast. The ANFIS could provide an accurate and reliable forecast of the tender price index in the medium term (i.e. over a three-year period). This chapter provides evidence of the advantages of applying nonlinear modelling techniques (such as the ANFIS) to tender price index forecasting. Although the proposed ANFIS model is applied to the tender price index in this study, it can also be applied to a wider range of problems in the field of construction engineering and management.
投标价格指数的波动对建筑业和整个经济都有不利影响。这在很大程度上是由于建筑业与经济增长之间存在着积极的关系。这些变化的后果包括成本超支和进度延迟等。对投标价格指数进行准确的预测,有利于控制投标价格指数变化的不确定性。在本研究中,研究了使用自适应神经模糊推理系统(ANFIS)进行投标价格预测的有效性。此外,还使用了被认为是基准技术的Box-Jenkins模型来评估ANFIS模型的性能。结果表明,ANFIS模型在预测精度和可靠性方面优于Box-Jenkins模型。“投标价格指数”可准确可靠地预测中期(即三年期)的投标价格指数。本章提供了将非线性建模技术(如ANFIS)应用于投标价格指数预测的优势的证据。虽然本文提出的ANFIS模型适用于投标价格指数,但它也可以应用于更广泛的建筑工程和管理领域的问题。
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引用次数: 1
Modelling Risk Allocation Decisions in Public–Private Partnership Contracts using the Fuzzy Set Approach 基于模糊集方法的公私合营合同风险分配决策建模
Pub Date : 2018-10-04 DOI: 10.1108/978-1-78743-868-220181009
E. Ameyaw, A. Chan
Abstract Allocating risk in public–private partnership (PPP) projects based on public–private parties’ risk management (RM) capabilities is a condition for success of these projects. In practice, however, risks are allocated to these parties beyond their respective RM capabilities. Too much risk is often assigned to the private or public party, resulting in poor RM and costly contract renegotiations and terminations. This chapter proposes a methodology based on fuzzy set theory (FST) in which decision makers (DMs) use linguistic variables to assess and calculate RM capability values of public–private parties for risk events and to arrive at risk allocation (RA) decisions. The proposed methodology is based on integrating RA decision criteria, the Delphi method and the fuzzy synthetic evaluation (FSE) technique. The application of FSE allows for the introduction of linguistic variables that express DMs’ evaluations of RM capabilities. This provides a means to deal with the problems of qualitative, multi-criteria analysis, subjectivity and uncertainty that characterise decision-making in the construction domain. The methodology is outlined and demonstrated based on empirical data collected through a three-round Delphi survey. The public–private parties’ RM capability values for land acquisition risk are calculated using the proposed methodology. The methodology is helpful for performing fuzzy-based analysis in PPP projects, even in the event of limited or no data. This chapter makes the contribution of presenting a RA decision-making methodology that is easy to understand and use in PPP contracting and that enables DMs to track calculations of RM capability values.
摘要基于公私合营各方风险管理能力的PPP项目风险分配是PPP项目成功的前提条件。然而,在实践中,风险被分配给这些各方,超出了它们各自的RM能力。太多的风险往往被分配给私人或公共方,导致RM不足和昂贵的合同重新谈判和终止。本章提出了一种基于模糊集理论(FST)的方法,其中决策者(DMs)使用语言变量来评估和计算公私各方对风险事件的RM能力值,并得出风险分配(RA)决策。该方法综合了RA决策准则、德尔菲法和模糊综合评价技术。FSE的应用允许引入语言变量来表达dm对RM能力的评估。这提供了一种方法来处理定性、多标准分析、主观性和不确定性等问题,这些问题是建筑领域决策的特征。通过三轮德尔菲调查收集的经验数据,概述并论证了该方法。使用所提出的方法计算了公私各方的土地征用风险管理能力值。该方法有助于在PPP项目中进行模糊分析,即使在数据有限或没有数据的情况下也是如此。本章提出了一种易于理解和在PPP合同中使用的RA决策方法,使dm能够跟踪RM能力值的计算。
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引用次数: 0
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Fuzzy Hybrid Computing in Construction Engineering and Management
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