Abstract

Recently, there is of significant interest in developing multi-criteria decision making (MCDM) techniques with large applications for real-life problems. Making a reasonable and accurate decision on MCDM problems can help develop enterprises better. The existing MCDM methods, such as the grey comprehensive evaluation (GCE) method and the technique for order preference by similarity to an ideal solution (TOPSIS), have their one-sidedness and shortcomings. They neither consider the difference of shape and the distance of the evaluation sequence of alternatives simultaneously nor deal with the interaction that universally exists among criteria. Furthermore, some enterprises cannot consult the best professional expert, which leads to inappropriate decisions. These reasons motivate us to contribute a novel hybrid MCDM technique called the grey fuzzy TOPSIS (FGT). It applies fuzzy measures and fuzzy integral to express and integrate the interaction among criteria, respectively. Fuzzy numbers are employed to help the experts to make more reasonable and accurate evaluations. The GCE method and the TOPSIS are combined to improve their one-sidedness. A case study of supplier evaluation of a collaborative manufacturing enterprise verifies the effectiveness of the hybrid method. The evaluation result of different methods shows that the proposed approach overcomes the shortcomings of GCE and TOPSIS. The proposed hybrid decision-making model provides a more accurate and reliable method for evaluating the fuzzy system MCDM problems with interaction criteria.

Highlights

  • Multi-criteria decision making (MCDM) problems are utterly fatal and can be frequently observed academically in many domains, such as in manufacturing [1,2], finance [3], logistics [4], and the supply chain [5]

  • Among the conventional multi-criteria decision making (MCDM) methods, the TOPSIS evaluates objects according to their difference in the comprehensive closeness degree

  • Theto analysis application example aboutaddressing real size some practical problems with interactive criteria. By considering these features of the TOPSIS and wind farm implantation problem showed that this proposed method can be a useful decision-making this study develops a novel hybrid MCDM

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Summary

A Novel Hybrid Fuzzy Grey TOPSIS Method

Yixiong Feng 1 , Zhifeng Zhang 1 , Guangdong Tian 2,3, *, Amir Mohammad Fathollahi-Fard 4 , Nannan Hao 5 , Zhiwu Li 6 , Wenjie Wang 2,3 and Jianrong Tan 1. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China. Key Laboratory of High Efficiency and Clean Mechanical Manufacture (Ministry of Education), Shandong University, Jinan 250061, China.

Introduction
Literature Review
The λ-Fuzzy-Measure and the Choquet Integral
The Correlation Coefficients
The Triangle Fuzzy Number
The Entropy Weight Method
Background
Obtain the Fuzzy Linguistic Value and Transform it into Fuzzy Numbers
Defuzzify the Fuzzy Numbers
An Illustrative Example
Method
G NN NN BN
2: Standardize evaluation
ComparisonsToand
Result Analysis

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