在不完全确定条件下对有效项目解决方案进行排序的方法

Volodymyr Bezkorovainyi, L. Kolesnyk, V. Gopejenko, Viktor Kosenko
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引用次数: 0

摘要

文章的研究课题是在不完全确定条件下项目决策支持系统中的选项排序过程。这项工作的目标是在输入数据不完全确定的条件下,通过开发对建筑对象的有效选项进行排序的综合方法,提高复杂系统自动设计技术的效率。文章解决了以下任务:分析项目决策支持系统中选项排序问题的现状;分解复杂设计对象的系统优化和项目决策支持问题;在输入数据不完全确定的条件下,开发一种结合词法优化和卡片排序程序的变体排序方法。使用了以下方法:系统理论、效用理论、优化、运筹学、区间数学和模糊数学。结果根据对支持项目决策问题的分析结果,确定了在考虑到难以形式化的因素和决策者(DM)的经验的情况下,存在正确减少有效选项子集以进行排序的问题。对复杂设计对象的系统优化和项目决策支持问题进行了分解。对于局部标准之间偏好的顺序表述,提出了对每个指标的最优和次优选项子集的合理缩减规模的估计。使用这种方法可以获得特定能力的有效变体子集,用于分析和最终选择 DM。还提出了一种方法,将局部标准之间的偏好顺序表述转化为加权系数形式的定量表述。结论。所开发的方法拓展了支持采用多标准项目决策的自动化流程的方法论基础。在最终选择的输入数据不完全确定的情况下,考虑到难以形式化的因素、官方发展援助的知识和经验,这些方法使正确减少有效备选方案集成为可能。实际使用所获得的结果将有助于减少支持项目决策程序的时间和能力复杂性,并且由于使用了具有相互指定特征的有效备选方案子集的选择技术--保证了项目决策的质量,并对其进行了更全面的评估。
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THE METHOD OF RANKING EFFECTIVE PROJECT SOLUTIONS IN CONDITIONS OF INCOMPLETE CERTAINTY
The subject of research in the article is the process of ranking options in support systems for project decision-making under conditions of incomplete certainty. The goal of the work is to increase the efficiency of technologies for automated design of complex systems due to the development of a combined method of ranking effective options for building objects in conditions of incomplete certainty of input data. The following tasks are solved in the article: analysis of the current state of the problem of ranking options in support systems for project decision-making; decomposition of problems of system optimization of complex design objects and support of project decision-making; development of a variant ranking method that combines the procedures of lexicographic optimization and cardinal ordering in conditions of incomplete certainty of input data. The following methods are used: systems theory, utility theory, optimization, operations research, interval and fuzzy mathematics. Results. According to the results of the analysis of the problem of supporting project decision-making, the existence of the problem of correctly reducing subsets of effective options for ranking, taking into account factors that are difficult to formalize and the experience of the decision-maker (DM), was established. Decomposition of the problems of system optimization of complex design objects and support for project decision-making was carried out. For the case of ordinalistic presentation of preferences between local criteria, an estimate of the size of the rational reduction of subsets of optimal and suboptimal options for each of the indicators is proposed. Its use allows for one approach to obtain a subset of effective variants of a given capacity for analysis and final selection of the DM. A method of transforming the ordinalistic presentation of preferences between local criteria to their quantitative presentation in the form of weighting coefficients is proposed. Conclusions. The developed methods expand the methodological foundations of the automation of processes supporting the adoption of multi-criteria project decisions. They make it possible to correctly reduce the set of effective alternatives in conditions of incomplete certainty of the input data for the final choice, taking into account factors that are difficult to formalize, knowledge and experience of ODA. The practical use of the obtained results will allow to reduce the time and capacity complexity of the procedures for supporting project decision-making, and due to the use of the technology of selection of subsets of effective options with intervally specified characteristics - to guarantee the quality of project decisions and to provide a more complete assessment of them.
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