Purpose

This study has two main objectives: (1) to expand the application areas of grey system theory and (2) to select the most livable city in Turkey.

Design/methodology/approach

Choosing the most livable city is a complex problem that requires many criteria to be considered. It is important to select decision points according to which the criteria selection will be made and to what extent the criteria will affect the evaluation. For this purpose, a questionnaire was prepared to determine the criteria to be used in the assessment. The survey results were evaluated by the factor analysis (FA) and it was found that the criteria included in the survey were grouped under seven factors. Then, criteria weights were assigned to the determined criteria using the analytic hierarchy process (AHP). At the last stage, Turkey's six most popular cities are graded using the grey relational analysis (GRA) to reduce the uncertainty existing in the process of evaluation.

Findings

The obtained results indicated that the most livable city in Turkey is Istanbul. Istanbul is followed by Izmir, Antalya, Eskisehir, Bursa and Ankara, respectively. Considering that Istanbul is a center of attraction in many respects, this result is not a surprise for many people. It is also observed that the results obtained overlap with similar studies in the literature.

Originality/value

Grey system theory and grey numbers have not been previously used to select the most livable city. With this aspect, this study has expanded the application of grey system theory and made an important contribution to the literature.

中文翻译：

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灰色关联分析法在土耳其最宜居的城市选择中

目的

这项研究有两个主要目标：（1）扩展灰色系统理论的应用领域；（2）选择土耳其最宜居的城市。

设计/方法/方法

选择最宜居的城市是一个复杂的问题，需要考虑许多标准。重要的是选择决策点，根据这些决策点进行标准选择，以及标准将在多大程度上影响评估。为此，准备了一份调查问卷，以确定评估中使用的标准。通过因素分析（FA）对调查结果进行了评估，发现调查中包含的标准分为七个因素。然后，使用层次分析法（AHP）将标准权重分配给确定的标准。在最后阶段，使用灰色关联分析（GRA）对土耳其六个最受欢迎的城市进行分级，以减少评估过程中存在的不确定性。

发现

获得的结果表明，土耳其最宜居的城市是伊斯坦布尔。伊斯坦布尔之后是伊兹密尔，安塔利亚，埃斯基谢希尔，布尔萨和安卡拉。考虑到伊斯坦布尔在许多方面都是一个吸引人的中心，因此这一结果对许多人来说并不奇怪。还观察到，所获得的结果与文献中的类似研究相重叠。

创意/价值

灰色系统理论和灰色数字以前尚未用于选择最适合居住的城市。从这个角度出发，本研究扩展了灰色系统理论的应用，为文献研究做出了重要贡献。