Dymova Ludmila, Kaczmarek Krzysztof, Sevastjanov Pavel, Kulawik Joanna
Department of Computer Science, Czestochowa University of Technology, Dabrowskiego 73, 42-201 Czestochowa, Poland.
Entropy (Basel). 2021 Feb 7;23(2):203. doi: 10.3390/e23020203.
The paper presents the generalization of the almost forty years of experience in the field of setting and solving the multiple criteria decision-making (MCDM) problems in various branches of a human activity under different types of uncertainties that inevitably accompany such problems. Based only on the pragmatic intentions, the authors avoid the detailed descriptions of the known methods for the decision-making, while instead focusing on the most frequently used mathematical tools and methodologies in the decision-making practice. Therefore, the paper may be classified as a special kind of illustrative review of the mathematical tools that are focused on applications and are the most used in the solutions of MCDM problems. As an illustrative example, a complete user-friendly computer implementation of such tools and methodology is presented with application to the simple "buying a cat" problem, which, however, possesses all the attributes of the hierarchical fuzzy MCDM task.
本文介绍了近四十年来在人类活动各分支中,针对不同类型不确定性下的多准则决策(MCDM)问题进行设定和求解的经验总结。仅基于务实的意图,作者避免对已知决策方法进行详细描述,而是专注于决策实践中最常用的数学工具和方法。因此,本文可归类为一种特殊的、侧重于应用且在MCDM问题解决方案中最常用的数学工具的说明性综述。作为一个说明性示例,给出了此类工具和方法完整的、用户友好的计算机实现,并应用于简单的“买猫”问题,然而,该问题具备层次模糊MCDM任务的所有属性。