The quantized transformation in Deng’s grey relational grade

2016 ◽  
Vol 6 (3) ◽  
pp. 375-397 ◽  
Author(s):  
Kunli Wen
Keyword(s):  
Design Methodology ◽  
Entropy Method ◽  
Grey System Theory ◽  
Mathematics Model ◽  
Careful Study ◽  
Grey System ◽  
Content Type ◽  
Grey Relational Grade ◽  
Grey Relational ◽  
Practical Implications

Purpose Until now, many different varieties of grey relational grade methods had been proposed, and there are also many relevant publications, which include ordinal grey relational grade and cardinal grey relational grade. However, the most original and important formula is Deng’s grey relational grade. After careful study it was found that although it is an ordinal form of grey relational grade, a rational mathematics model can be used to transfer it from ordinal into cardinal. It not only can enhance the essential of Deng’s grey relational grade, but also can let Deng’s grey relational grade be used more widely. The paper aims to discuss these issue. Design/methodology/approach The paper uses fuzzy set theory to get the rational value of distinguish coefficient in Deng’s grey relational grade, then uses grey entropy method to decide the rational weighting for the analysis sequences in Deng’s grey relational grade. Findings Through the mathematics derivation, it indeed can transfer the Deng’s grey relational grade from ordinal form into cardinal form. Practical implications The paper has deeply enhanced the essential of Deng’s grey relational grade, and made Deng’s grey relational grade more available and more usable in grey system theory. Originality/value The paper has transferred the Deng’s grey relational grade from ordinal into cardinal, it can let Deng’s grey relational grade be used in a wider area.

Study on the second grey relational grade and its properties

Kybernetes ◽  
2010 ◽  
Vol 39 (8) ◽  
pp. 1330-1335 ◽  
Author(s):  
Yan Ma
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Forecasting Model ◽  
Grey System ◽  
Content Type ◽  
Grey Forecasting ◽  
Grey Relational Grade ◽  
Grey Relational ◽  
Practical Implications

PurposeThe purpose of this paper is to propose a second relational grade based on the general grey relational grade and analyze several of its properties.Design/methodology/approachGrey system theory. The paper proposes and studies second grey relational grade, establishes second grey relational formula, and studies several characteristics of second grey relational formula.FindingsProposing a second relational grade proved it could solve the problem of the parallelism partly and weaken relativity of space position.Research limitations/implicationsUntil now, the problem of the consistency could not be solved, nor could the problem of the effect which keeps the sequence the same.Practical implicationsThe precision of the grey forecasting model could be strengthened if used in the forecasting model.Originality/valueThe general relational grade only thinks over the relation between two sequences but does not involve the relation in one sequence. The second relational grade considers these two, so if the forecasting model is established with it, the model should be more exact.

The proof of a new modified grey relational grade

2016 ◽  
Vol 6 (2) ◽  
pp. 180-186 ◽  
Author(s):  
Kunli Wen
Keyword(s):  
System Theory ◽  
Grey Relational Analysis ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
The Past ◽  
Relational Analysis ◽  
Grey Relational Grade ◽  
Grey Relational

Purpose – Until now, many different varieties of grey relational grade methods had been proposed, and there are also many relevant publications. However, in one article published in 2007, which applied the previous grey relational grade to environmental protection fields and some results had been found. After studied it carefully, the author found that the grey relational grade in the paper was not the previous grey relational grade. According to the mathematics logic, it must first prove the proposed grey relational grade satisfies the four axioms in grey relational analysis, and then the author can say that the achieved results are reasonable and correct. The paper aims to discuss these issues. Design/methodology/approach – The paper lists the rational and regular grey relational grade that had been published in the past, and used the four axioms in grey system theory to prove the Pai’s grey relational grade that satisfy the four axioms steps by steps. Findings – Through the detail proof of the proposed grey relational grade in Pai’s paper, it indeed satisfies the four axioms in grey relational grade. Research limitations/implications – The paper had enhanced the correctness and reasonableness of that paper, and let the grey relational grade, which appear in Pai’s paper is legitimate and correct grey relational grade in grey system theory. Originality/value – The paper had identified that Pai’s grey relational grade is a rational and regular grey relational grade in grey system theory, and it proves that the results in Pai’s paper are correct and reasonable.

Explanation of terms of grey numbers and its operations

2016 ◽  
Vol 6 (3) ◽  
pp. 436-441 ◽  
Author(s):  
Sifeng Liu ◽  
Handan Rui ◽  
Zhigeng Fang ◽  
Yingjie Yang ◽  
Jeffrey Forrest
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Universal Principles ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of grey numbers and its operations. Design/methodology/approach The definitions of elementary terms about grey numbers and its operations are presented one by one. Findings The reader could know the basic explanation about the important terms about grey numbers and its operations from this paper. Practical implications Many of the colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardise all the definitions of terms for a new discipline. It is also propitious to spread the universal principles of grey system theory.

scholarly journals Explanation of terms of grey clustering evaluation models

2017 ◽  
Vol 7 (1) ◽  
pp. 129-135 ◽  
Author(s):  
Sifeng Liu ◽  
Yingjie Yang
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Grey Clustering ◽  
Evaluation Models ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of grey clustering evaluation models. Design/methodology/approach The definitions of basic terms about grey clustering evaluation models are presented one by one. Findings The reader could know the basic explanation about the important terms about various grey clustering evaluation models from this paper. Practical implications Many of the authors’ colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardise all the definitions of terms for a new discipline. It is also propitious to spread and universal of grey system theory.

Explanation of terms of sequence operators and grey data mining

2016 ◽  
Vol 6 (3) ◽  
pp. 442-447 ◽  
Author(s):  
Sifeng Liu ◽  
Naiming Xie ◽  
Yingjie Yang ◽  
Jeffrey Forrest
Keyword(s):  
System Theory ◽  
Data Mining ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Universal Principles ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of sequence operators and grey data mining. Design/methodology/approach The definitions of basic terms about sequence operators and grey data mining are presented one by one. Findings The reader could know the basic explanation about the important terms about sequence operators and grey data mining from this paper. Practical implications Many of the colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardize all the definitions of terms for a new discipline. It is also propitious to spread the universal principles of grey system theory.

scholarly journals Explanation of terms of grey incidence analysis models

2017 ◽  
Vol 7 (1) ◽  
pp. 136-142 ◽  
Author(s):  
Sifeng Liu ◽  
Hongyang Zhang ◽  
Yingjie Yang
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Grey Incidence Analysis ◽  
Incidence Analysis ◽  
Analysis Models ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of grey incidence analysis models. Design/methodology/approach The definitions of basic terms about various grey incidence analysis models are presented one by one. Findings The reader could know the basic explanation about the important terms about various grey incidence analysis models from this paper. Practical implications Many of the authors’ colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardize all the definitions of terms for a new discipline. It is also propitious to spread and universal of grey system theory.

Explanation of terms of concepts and fundamental principles of grey systems

2016 ◽  
Vol 6 (3) ◽  
pp. 429-435 ◽  
Author(s):  
Sifeng Liu ◽  
Yingjie Yang ◽  
Jeffrey Forrest ◽  
Handan Rui
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Universal Principles ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of concepts and fundamental principles of grey systems. Design/methodology/approach The definitions of basic terms about concepts and fundamental principles of grey systems are presented one by one. Findings The reader could know the basic explanation about the important terms about concepts and fundamental principles of grey systems from this paper. Practical implications Many of the authors’ colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardize all the definitions of terms for a new discipline. It is also propitious to spread the universal principles of grey system theory.

An uncertain pure linguistic approach on evaluation of enterprise integrity based on grey information

2016 ◽  
Vol 6 (3) ◽  
pp. 353-364 ◽  
Author(s):  
Zhen Zhen Ma ◽  
Jianjun Zhu
Keyword(s):  
Ideal Point ◽  
Grey System Theory ◽  
Decision Makers ◽  
Fuzzy Evaluation ◽  
Grey System ◽  
Content Type ◽  
Grey Relational Grade ◽  
Grey Number ◽  
Linguistic Approach ◽  
Grey Relational

Purpose Currently, for the evaluation of enterprise credit, many specific values of indexes are difficult to obtain, so decision makers tend to give a form of uncertain linguistic variable. To solve this kind of problem, the purpose of this paper is to introduce an uncertain pure linguistic approach on evaluation of enterprise integrity based on grey information. Design/methodology/approach Initial uncertain linguistic variables given by experts are transferred into interval grey numbers, and their greyness of degree is computed. Then, the greyness of degree is applied to adjust the weights of experts. Moreover, the core of each interval grey number is calculated, and through giving the positive ideal point and negative ideal point, which are binary numbers, the comprehensive grey relational grade between the linguistic number and the two points is calculated, respectively, as well to get the ranking result of projects by considering both core and greyness of degree. Findings The model is applied to a case, and the result verifies the validity and practicability of the model which reveals high effectiveness. Practical implications This model provides a new feasible method in a growing number of fuzzy evaluation schemes in the fields of enterprise integrity and contributes to getting better and more accurate results. Originality/value In this paper, the greyness of degree is introduced to the model to adjust the experts’ weights, and it reflects the thought of “making full use of the information” in grey system theory and further enriches the system of grey decision-making theory as well as expanding its application scope.

scholarly journals Explanation of terms of grey forecasting models

2017 ◽  
Vol 7 (1) ◽  
pp. 123-128 ◽  
Author(s):  
Sifeng Liu ◽  
Yingjie Yang
Keyword(s):  
System Theory ◽  
Design Methodology ◽  
Grey System Theory ◽  
Grey System ◽  
Content Type ◽  
Forecasting Models ◽  
Grey Forecasting ◽  
Key Terms ◽  
Practical Implications

Purpose The purpose of this paper is to present the terms of grey forecasting models and techniques. Design/methodology/approach The definitions of basic terms about grey forecasting models and techniques are presented one by one. Findings The reader could know the basic explanation about the important terms about various grey forecasting models and techniques from this paper. Practical implications Many of the authors’ colleagues thought that unified definitions of key terms would be beneficial for both the readers and the authors. Originality/value It is a fundamental work to standardise all the definitions of terms for a new discipline. It is also propitious to spread and universal of grey system theory.

scholarly journals Grey Relational Grade Based Quantitative Analysis of the Factors Influencing the Load Characteristics of A Power Grid

2018 ◽  
Vol 53 ◽  
pp. 01012 ◽  
Author(s):  
Wei Pan ◽  
Caijia Lei ◽  
Wei Jia ◽  
Hui Gao ◽  
Binghua Fang
Keyword(s):  
Quantitative Analysis ◽  
Influencing Factors ◽  
Power Grid ◽  
Grey System Theory ◽  
Grey System ◽  
Factors Affecting ◽  
Grey Relational Grade ◽  
Load Characteristics ◽  
Grey Relational ◽  
Main Factor

Regarding analysis of load characteristics of a power grid, there are multiple factors that influence the variation of load characteristics. Among these factors, the influence of different ones on the change of load characteristic is somewhat different, thus the degree of influence of various factors needs to be quantified to distinguish the main and minor factors of load characteristics. Based on this, the grey relational analysis in the grey system theory is employed as the basis of mathematical model in this paper. Firstly, the main factors affecting the load characteristics of a power grid are analysed. Then, the principle of quantitative analysis of the influencing factors by using grey relational grade is introduced. Lastly, the load of Guangzhou power grid is selected as the research object, thereby the main factor of temperature affecting the load characteristics is quantitatively analysed, such that the correlation between temperature and load is established. In this paper, by investigating the influencing factors and the degree of influence of load characteristics, the law of load characteristics changes can be effectively revealed, which is of great significance for power system planning and dispatching operation.

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