Trade-off problems concentrate on balancing the main parameters of a project as completion time, total cost and quality of activities. In this study, the problem of project time-cost-quality trade-off is formulated and solved from a new standpoint. For this purpose, completion time and crash cost of project are illustrated as fuzzy goals, also the dependency of implementing time of each activity and its execution-quality is described by a fuzzy number. The overall quality of the project execution is defined as the minimum execution-quality of the project activities that should be maximized. Based on some real assumptions, a three-objective programming problem associated with the time-cost-quality trade-off problem is formulated; then with the aim of identifying a fair and appropriate trade-off, the research problem is reformulated as a single objective linear programming by utilizing a fuzzy decision-making methodology. Generating a final preferred solution, rather than a set of Pareto optimal solutions, and having a reasonable interpretation are two most important advantages of the proposed approach. To explain the practical performance of the proposed models and approach, a time-cost-quality trade-off problem for a project with real data is solved and analyzed.

中文翻译：

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项目时间-成本-质量权衡问题：一种基于模糊决策的新方法

权衡问题集中在平衡项目的主要参数，如完成时间、总成本和活动质量。本研究从新的角度制定和解决了项目时间-成本-质量权衡问题。为此，项目的完成时间和崩溃成本被描述为模糊目标，并且每个活动的实施时间及其执行质量的依赖性被描述为一个模糊数。项目执行的整体质量被定义为应该最大化的项目活动的最低执行质量。基于一些真实的假设，制定了一个与时间-成本-质量权衡问题相关的三目标规划问题；然后为了确定一个公平和适当的权衡，利用模糊决策方法将研究问题重新表述为单一目标线性规划。生成最终的首选解决方案，而不是一组帕累托最优解决方案，并且具有合理的解释是所提出方法的两个最重要的优点。为了解释所提出的模型和方法的实际性能，解决和分析了具有真实数据的项目的时间成本质量权衡问题。