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Extension of intuitionistic fuzzy TODIM technique for multi-criteria decision making method based on shapley weighted divergence measure

机译：基于Shapley加权散度测度的直觉模糊TODIM技术多准则决策方法的扩展

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摘要

This paper firstly reviews the existing divergence measures and presents some counter-intuitive cases. To avoid the drawback of existing measures, a new divergence measure for intuitionistic fuzzy sets (IFSs) is pioneered and afterwards, an entropy measure is originated from the proposed divergence measure. Numerical example illustrates the efficiency of the proposed intuitionistic fuzzy entropy. As in recent times, multi-criteria decision making (MCDM) problems with IFSs have widely been applied by many authors in different fields. Consequently, copious numbers of MCDM techniques have been pioneered in intuitionistic fuzzy environment. So, in this paper, a MCDM technique named as TOmada de Decisao Interativa e Multicrit'erio (TODIM) is presented under intuitionistic fuzzy information. The proposed TODIM approach is developed for correlative MCDM problems, in which the weights of the criteria are calculated in terms of Shapley values and the dominance matrices are evaluated based on Shapley weighted divergence measure with intuitionistic fuzzy information. Furthermore, the efficacy of the technique is demonstrated through a selection problem of senior executive person of a telecommunication company. To validate the result, a comparative analysis with existing methods is presented.
机译：本文首先回顾了现有的分歧措施，并提出了一些违反直觉的案例。为了避免现有度量方法的缺点，提出了一种新的直觉模糊集（IFS）度量方法，然后，从所提出的度量方法中引入了一个熵度量。数值算例说明了所提出的直觉模糊熵的有效性。与最近一样，IFS的多标准决策（MCDM）问题已被不同领域的许多作者广泛应用。因此，在直觉模糊环境中开创了许多MCDM技术。因此，本文在直觉模糊信息的基础上提出了一种称为“多用途决策多学科决策”的MCDM技术。针对相关的MCDM问题开发了提出的TODIM方法，其中，根据Shapley值计算标准的权重，并基于Shapley加权散度测度和直觉模糊信息评估优势矩阵。此外，通过电信公司高级管理人员的选择问题证明了该技术的有效性。为了验证结果，提出了与现有方法的比较分析。

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