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首页> 外文期刊>Journal of Optimization in Industrial Engineering >A note on 'An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts'
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A note on 'An interval type-2 fuzzy extension of the TOPSIS method using alpha cuts'

机译：关于“使用Alpha Cuts的Topsis方法的间隔类型-2模糊扩展”的说明

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摘要

The technique for order of preference by similarity to ideal solution (TOPSIS) is a method based on the ideal solutions in which the most desirable alternative should have the shortest distance from positive ideal solution and the longest distance from negative ideal solution. Depending on type of evaluations or method of ranking, different approaches have been proposing to calculate distances in the TOPSIS method. In a recent paper, Dymova et al. (2015) extended the TOPSIS approach using interval type 2 fuzzy sets (IT2FSs) in which distances were calculated using alpha cuts. When investigating their paper, we found out that the extended method has some drawbacks such that it leads to the incorrect calculations and results when solving an IT2FSs-based multi-criteria decision making (MCDM) problem. In this note, the corrected version of extended TOPSIS method is being presented to eliminate its limitations. In order to show effectiveness and possibility of the proposed approach, it is also implemented in two illustrative examples and one case study. The results have showed that the optimal alternative obtained by the corrected TOPSIS approach has the similar rank to the others, whereas it is different from the results of existing TOPSIS approach.
机译：通过相似性与理想解决方案（TOPSIS）的优先顺序的技术是基于理想解决方案的方法，其中最期望的替代方案应该具有从正理想溶液的最短距离和距离负理想溶液的最长距离。根据评估的类型或排名方法，已经提出了不同的方法来计算Topsis方法中的距离。在最近的一篇论文中，Dymova等人。 （2015）使用间隔类型2模糊集（IT2FS）扩展了TopSIS方法，其中使用alpha切割计算距离。在调查论文时，我们发现扩展方法具有一些缺点，使得它在解决基于IT2FSS的多标准决策（MCDM）问题时，它导致错误的计算和结果。在本说明中，正在提出更正的扩展TopSIS方法的版本以消除其限制。为了表明所提出的方法的有效性和可能性，它也在两个说明性示例中实施和一个案例研究。结果表明，通过校正的TOPSIS方法获得的最佳替代方案具有与其他方面相似的等级，而它与现有TOPSIS方法的结果不同。

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