A Fuzzy TOPSIS Decision Making Model with Entropy Weight under Intuitionistic Fuzzy Environment
A Fuzzy TOPSIS Decision Making Model with Entropy Weight under Intuitionistic Fuzzy Environment
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发表时间：
2009
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通讯作者：
C. Hung;Liang-Hsuan Chen
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作者：
C. Hung;Liang-Hsuan Chen
直觉模糊集（IFS）理论非常适合处理模糊性和犹豫性问题。在本研究中，我们提出一个新的模糊TOPSIS决策模型，以处理直觉模糊环境下的多准则决策（MCDM）问题。该模型允许测量的可满足性和不可满足性的程度，分别在一组标准评估的每个替代品。为了得到加权的模糊决策矩阵，我们采用香农熵的概念来计算准则的权重。最后通过一个投资实例说明了该模型的应用。指标熵，直觉模糊集，多准则决策，理想解法。引言许多多准则决策（MCDM）方法已被开发并应用于不同的领域，如工程，管理，经济等，作为已知的经典MCDM方法之一，TOPSIS（技术的顺序性能的相似性理想的解决方案）首先由Hwang和Yoon（6）。的主要概念
The theory of intuitionistic fuzzy set (IFS) is well suitable to deal with vagueness and hesitancy. In this study, we propose a new fuzzy TOPSIS decision making model using entropy weight for dealing with multiple criteria decision making (MCDM) problems under intuitionistic fuzzy environment. This model allows measuring the degree of satisfiability and the degree of non-satisfiability, respectively, of each alternative evaluated across a set of criteria. To obtain the weighted fuzzy decision matrix, we employ the concept of Shannon's entropy to calculate the criteria weights. An investment example is used to illustrate the application of the proposed model. Index Terms—Entropy, Intuitionistic fuzzy set (IFS), Multiple criteria decision making (MCDM), TOPSIS I. INTRODUCTION A lot of multiple criteria decision making (MCDM) approaches have been developed and applied to diverse fields, like engineering, management, economics, etc. As one of the known classical MCDM approaches, TOPSIS (technique for order performance by similarity to ideal solution) was first developed by Hwang and Yoon (6). The primary concept of