A Study and Estimation of Different Distance Measures in Generalized Fuzzy TOPSIS to Improve Ranking Order

Martin Aruldoss, Miranda Lakshmi Travis, Prasanna Venkatesan Venkatasamy
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引用次数: 0

Abstract

Multi criteria decision making (MCDM) is used to solve multiple conflicting criteria. There are different methods available in MCDM out of which TOPSIS is a well- known method to solve precise and imprecise information. In this chapter, triangular fuzzy TOPSIS is considered which has different steps like normalization, weight, finding of positive ideal solution (PIS) and negative ideal solution (NIS), distance between PIS and NIS, calculating relative closeness coefficient (RCC) value and ranking the alternatives. Out of these different steps a distance method is studied. The distance measures are basically used to find the distance between the target alternative and the best and the least alternatives. The most commonly used distance method is Euclidean distance. Many other distance methods are available such as Manhattan, Bit-vector, Hamming, Chebyshev distance, etc. To obtain the appropriate distance, these methods are evaluated. The proposed approach is applied in banking domain to find the suitable user for multi criteria reporting (MCR).
广义模糊TOPSIS中不同距离测度改进排序的研究与估计
多准则决策(MCDM)用于解决多个相互冲突的准则。MCDM中有不同的方法,其中TOPSIS是一种众所周知的解决精确和不精确信息的方法。在本章中,考虑了三角模糊TOPSIS,它有归一化、权重、寻找正理想解(PIS)和负理想解(NIS)、PIS和NIS之间的距离、计算相对接近系数(RCC)值和对备选方案进行排序等不同的步骤。在这些不同的步骤中,研究了距离法。距离度量基本上是用来找到目标备选方案与最佳和最小备选方案之间的距离。最常用的距离法是欧氏距离法。还有许多其他的距离方法,如曼哈顿距离、位矢量距离、汉明距离、切比雪夫距离等。为了获得合适的距离,对这些方法进行了评估。将该方法应用于银行领域,用于寻找多准则报告(MCR)的合适用户。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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