scholarly journals DEA Cross-Efficiency Ranking Method Based on Grey Correlation Degree and Relative Entropy

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 966 ◽  
Author(s):  
Si ◽  
Ma
Keyword(s):  
Relative Entropy ◽  
Evaluation Method ◽  
Ideal Solution ◽  
Analysis Method ◽  
Relational Analysis ◽  
Correlation Degree ◽  
Efficiency Ranking ◽  
Grey Correlation Degree ◽  
Grey Relational ◽  
The Ideal

The ranking of decision-making units (DMUs) is one of the most significant issues in efficiency evaluation. However, the calculation results from the traditional DEA method sometimes include multiple efficient DMUs or multiple DMUs with the same efficiency value, in which case the approach is weak in distinguishing among these DMUs. Therefore, this study proposes a DEA cross-efficiency ranking method based on the relative entropy evaluation method and the grey relational analysis method. First, the approach uses the cross-efficiency matrix as the decision matrix of multiple criteria decision-making (MCDM), and the relationship between DMU and the ideal solution is analyzed by the grey relational analysis method and the relative entropy evaluation method. Then, the degree of the criteria is determined by Shannon entropy, and the weighted grey correlation degree and the weighted relative entropy are obtained. Finally, with the comprehensive relative closeness degree between the DMU and the ideal solution, we can sort all the DMUs accordingly. In a comparative analysis, it shows that this method analyzes the similarity between DMUs and the ideal solution from the information distance and the similarity of the data sequence curve, and has certain advantages for analyzing the ranking of DMUs.

Using grey relational analysis to evaluate resource configuration and service ability for hospital on public private partnership model in China

2014 ◽  
Vol 4 (2) ◽  
pp. 260-272 ◽  
Author(s):  
Xiaoning Li ◽  
Xinbo Liao ◽  
Xuerui Tan ◽  
Haijing Wang
Keyword(s):  
Public Hospital ◽  
Private Hospital ◽  
Analysis Method ◽  
Resource Configuration ◽  
Private Partnership ◽  
Content Type ◽  
Relational Analysis ◽  
Correlation Degree ◽  
Absolute Correlation ◽  
Grey Relational

Purpose – The purpose of this paper is to evaluate resource configuration and service ability in hospital on public private partnership (PPP) model (Chaonan Minsheng Hospital of Guangdong Province), supplying decision-making reference for participants of hospital on PPP model. Design/methodology/approach – Four model of grey relational analysis (GRA) (Deng's correlation degree, grey absolute correlation degree, grey relative correlation degree and grey comprehensive correlation degree) are applied to evaluate resource configuration and service ability, a total of 11 indicators of hospital on PPP model public hospital and private hospital from 2007 to 2011. Findings – The paper finds that different GRA models have different results when the paper applied them to evaluate resource configuration and service ability in hospital on PPP model. More than 60 per cent indicators of resource configuration (total six indicators) and service ability (total six indicators) are assessed as “hospital on PPP model ≻ public hospital” or “hospital on PPP model≻ private hospital” from three models of Deng's correlation degree, grey absolute correlation degree and grey comprehensive correlation degree. Practical implications – Evaluation of resource configuration and service ability for hospital on PPP model with GRA makes results quantified objective and provides reference for decision making and management. GRA makes the comparison of resource configuration and service ability between hospital on PPP model and other model hospitals becoming possible. Originality/value – The shortcoming for data analysis method of “large sample” is overcome and data analysis method of “small sample” is realized by using GRA, which broaden the method of evaluating hospital on PPP model.

scholarly journals Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Peide Liu ◽  
Hongyu Yang
Keyword(s):  
Decision Making ◽  
Decision Theory ◽  
Conditional Probability ◽  
Grey Relational Analysis ◽  
Neutrosophic Set ◽  
Ideal Solution ◽  
Relational Analysis ◽  
Model Based ◽  
Grey Relational ◽  
The Ideal

The single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. Three-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. This paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights are entirely unknown. At first, we build a single-valued neutrosophic decision theory rough set (SVNDTRS) model based on Bayesian decision process. Then, we use the analytic hierarchy process (AHP) approach to calculate the subjective weight of each attribute, the information entropy to obtain the attribute’s objective weight, and the minimum total deviation approach to determine the combined weight of the attributes. After obtaining the standard weight, the grey relational analysis (GRA) method is utilized to calculate the grey correlation closeness with the ideal solution, and the conditional probability is estimated by it. In addition, we develop a decision-making method in view of the ideal solution of 3WDs with the SVNS. This approach not only considers the lowest cost but also gives a corresponding semantic explanation for the decision result of each alternative, which can supplement the decision results of GRA. At last, we illustrate the feasibility and effectiveness of 3WDs through an example of supplier selection and compare it with other methods to verify the advantages of our approach.

Scheme Selection of Camouflage Screen Design Based on Hierarchical Grey Relational Analysis

2013 ◽  
Vol 694-697 ◽  
pp. 2775-2778
Author(s):  
Qi Jia ◽  
Xu Liang Lü ◽  
Zhao Yang Zeng ◽  
Wei Dong Xu ◽  
Jiang Hua Hu
Keyword(s):  
Grey Relational Analysis ◽  
Analytic Hierarchy ◽  
Screen Design ◽  
Relational Analysis ◽  
Correlation Degree ◽  
Relational Degree ◽  
Selection Decision ◽  
Grey Correlation Degree ◽  
Scheme Selection ◽  
Grey Relational

As many influence factors and technical problems should be taken into account in the scheme selection decision of multi-band camouflage screen design, a method based on hierarchical grey relational analysis combing analytic hierarchy process (AHP) and grey relational analysis (GRA) was developed. The hierarchy model was constructed firstly, and the judging matrixes were established through analytic hierarchy process. The weight value for each index which effects the evaluation was determined accordingly. The relational degree between an individual alternative scheme and the ideal alternative and the worst alternative are calculated by grey correlation degree, and the evaluation degree is calculated according the grey correlation degree and weight value. Based on the relational degree a quality order for the alternative schemes can be obtained. Experiment was carried out, which proved that the method mentioned in this paper had both strict mathematical theory basis and good practical utility. This method can be also used in scheme selection decision of other camouflage designs.

scholarly journals Multi Performance Optimizationof Shoulder Milling Process Parameters of AA6063 T6 Aluminium Alloy by Taguchi Based GRA

2019 ◽  
Vol 8 (10S) ◽  
pp. 420-425
Keyword(s):  
Process Parameters ◽  
Grey Relational Analysis ◽  
Removal Rate ◽  
Analysis Data ◽  
Milling Process ◽  
Depth Of Cut ◽  
Analysis Method ◽  
Relational Analysis ◽  
Grey Relational Grade ◽  
Grey Relational

In this paper, a grey relational analysis method based on Taguchi is proposed to improve the multi-performance characteristics of VMC shoulder milling process parameters in the processing of AA6063 T6. Taking into account four process parameters such as coolant, depth of cut,speed and feed, there are three level of each process parameter in addition to two levels of coolant. 18 experiments were used by L18 orthogonal array using the taguchi method. Multi-performance features like surface roughness and material removal rate are used. Grey Relational Analysis method is used to obtain the Grey Relational Grade, and the multiperformance characteristics of the process are pointed out. Then, the Taguchi response table method and ANOVA are used to analysis data. In order to ensure the validity of the test results, a confirmation test was conducted. The study also shows that this method can effectively improve the multi-function characteristics of shoulder milling process.In his work microstructure and mechanical properties of AA6063 T6before and after shoulder milling have been investigated.

Selection of Molybdenum-Filled Hip Implant Material Using Grey Relational Analysis Method

2018 ◽  
pp. 675-692 ◽  
Author(s):  
Amit Aherwar ◽  
Amit Singh ◽  
Amar Patnaik ◽  
Deepak Unune
Keyword(s):  
Grey Relational Analysis ◽  
Testing Machine ◽  
Base Material ◽  
Analysis Method ◽  
Wear Properties ◽  
Hardness Tester ◽  
Relational Analysis ◽  
Implant Material ◽  
Pin On Disc ◽  
Grey Relational

In this study, a series of implant material containing molybdenum of different weight percentages were fabricated via high temperature vertical vacuum casting induction furnace and examined their physical, mechanical and wear properties. The mechanical properties were tested by the micro-hardness tester and the compression testing machine, while the wear performance was analyzed through a pin-on-disc tribometer under different operating conditions at room temperature. Density, hardness, compressive strength and sliding wear were considered as criterions for this study. The proportions of alternatives consist of Co-30Cr as a base material and molybdenum as an alloying element which was varied from 0 to 4wt.%. Due to the conflict between the properties obtained, the Grey relational analysis method (GRA) was applied to choose the best material among the set of alternatives. From the results obtained, it was found that Co-30Cr implant material containing 4wt.%molybdenum provides the best combination of the properties for a given application (i.e. hip femoral head).

Disturbing Load Classification Based on the Grey Relational Analysis Method and Load Performance Index

2019 ◽  
Vol 31 (1) ◽  
pp. 141-152
Author(s):  
Alexandre C. Moreira ◽  
Wesley A. de Souza ◽  
Bruna R. P. Conrado ◽  
Helmo K. Morales-Paredes
Keyword(s):  
Grey Relational Analysis ◽  
Performance Index ◽  
Analysis Method ◽  
Relational Analysis ◽  
Grey Relational

Appliance on Evaluation of Type Selection for Agricultural Machinery Based on Grey Relational Analysis Method

2011 ◽  
Vol 55-57 ◽  
pp. 988-991 ◽  
Author(s):  
Yan Xie ◽  
Mu Li
Keyword(s):  
Grey Relational Analysis ◽  
Analysis Method ◽  
Agricultural Machinery ◽  
Analysis Model ◽  
Relational Analysis ◽  
Type Selection ◽  
The Index System ◽  
Selection For ◽  
Grey Relational ◽  
Optimal Type

The type selection for agricultural machinery generally depends on the selector’s experiences at the present time. It exist some subjectivity and one-sidedness unavoidably. On the basis of the characteristics of complexity and the uncertainty of optimal selection for agricultural machinery, grey relational analysis model in agricultural machinery multi-type selection application has been put forward in this paper. The index system of influencing agricultural machinery type selection is determined. Application model and procedures of the grey relational analysis method are introduced. According to the degree how close it is with the ideal dot, the optimal type is easy to be selected out. Through the optimization analysis type selection for the agricultural transporter, it is proved that the optimal type selection for agricultural machinery based on grey relational analysis has the strong recognition judgment ability. It is convenient, quantitative, and strict. It provided a new method and a possible new way for evaluation of agricultural machinery type selecting．

Design for Product Adaptability

2007 ◽  
Author(s):  
Y. Li ◽  
D. Xue ◽  
P. Gu
Keyword(s):  
Life Cycle ◽  
Grey Relational Analysis ◽  
Design Approach ◽  
Analysis Method ◽  
Adaptable Design ◽  
Evaluation Measures ◽  
Relational Analysis ◽  
Design Paradigm ◽  
Grey Relational

Adaptable design is a new design paradigm to create designs and products that can be easily changed to satisfy different requirements. Adaptable design aims at identifying the designs and products considering functionality, manufacturing efforts, customization and environment friendliness. This research focuses on adaptable design considering product adaptability. In this work, product adaptability is evaluated by three measures including extendibility of functions, upgradeability of modules, and customizability of components. Various design candidates created in adaptable design are evaluated by different life-cycle evaluation measures including product adaptability of design, part and assembly costs of manufacturing, and operationability by customers. Since different evaluation measures are modeled in different units, the grey relational analysis method is employed to integrate the different evaluation measures for prioritizing different design candidates. A case study is given to demonstrate the effectiveness of the introduced adaptable design approach.

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