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Article
Publication date: 2 November 2015

Grey cluster evaluation models based on mixed triangular whitenization weight functions

Si-feng Liu, Yingjie Yang, Zhi-geng Fang and Naiming Xie

The purpose of this paper is to present two novel grey cluster evaluation models to solve the difficulty in extending the bounds of each clustering index of grey cluster…

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Abstract

Purpose

The purpose of this paper is to present two novel grey cluster evaluation models to solve the difficulty in extending the bounds of each clustering index of grey cluster evaluation models.

Design/methodology/approach

In this paper, the triangular whitenization weight function corresponding to class 1 is changed to a whitenization weight function of its lower measures, and the triangular whitenization weight function corresponding to class s is changed to a whitenization weight function of its upper measures. The difficulty in extending the bound of each clustering indicator is solved with this improvement.

Findings

The findings of this paper are the novel grey cluster evaluation models based on mixed centre-point triangular whitenization weight functions and the novel grey cluster evaluation models based on mixed end-point triangular whitenization weight functions.

Practical implications

A practical evaluation and decision problem for some projects in a university has been studied using the new triangular whitenization weight function.

Originality/value

Particularly, compared with grey variable weight clustering model and grey fixed weight clustering model, the grey cluster evaluation model using whitenization weight function is more suitable to be used to solve the problem of poor information clustering evaluation. The grey cluster evaluation model using endpoint triangular whitenization weight functions is suitable for the situation that all grey boundary is clear, but the most likely points belonging to each grey class are unknown; the grey cluster evaluation model using centre-point triangular whitenization weight functions is suitable for those problems where it is easier to judge the most likely points belonging to each grey class, but the grey boundary is not clear.

Details

Grey Systems: Theory and Application, vol. 5 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/GS-11-2014-0050
ISSN: 2043-9377

Keywords

  • Grey models for decision making
  • Practical applications of grey models
  • Grey clustering evaluation

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Article
Publication date: 3 April 2018

A new two-stage grey evaluation decision-making method for interval grey numbers

Peng Li and Cuiping Wei

In multi-criteria decision-making with interval grey number information, decision makers usually take a risk to rank or choose some very similar alternatives…

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Abstract

Purpose

In multi-criteria decision-making with interval grey number information, decision makers usually take a risk to rank or choose some very similar alternatives. Additionally, when evaluating only one alternative, decision makers can only obtain a specific value using traditional decision-making methods and may find it hard to cluster the alternatives to the “correct class” because these methods lack predetermined reference points. To overcome this problem, this paper aims to propose a two-stage grey decision-making method.

Design/methodology/approach

First, a new type of clustering method for interval grey numbers is designed by proposing a new possibility function for grey numbers. Based on this clustering method, a new grey clustering evaluation model for interval grey numbers is proposed by which decision makers can obtain the grade rating information of each alternative. Then, according to the grey clustering evaluation model, a new two-stage decision-making method is introduced to solve the problem that some alternatives are very similar by designing a grey comprehensive decision coefficient of alternatives.

Findings

The authors propose a new grey clustering evaluation model to deal with interval grey numbers. They design a new model to obtain the membership degree for the interval grey numbers and then propose a new grey clustering evaluation model, which can evaluate only one alternative by predefined grey classes. Then, by the grey comprehensive decision coefficient, a two-stage grey evaluation decision-making method is put forward to solve the problem that some alternatives are very close and hard to be distinguished.

Originality/value

A new grey clustering evaluation model is proposed, which can evaluate only one alternative by predefined grey classes. A two-stage grey evaluation decision-making method is given to solve the problem that some alternatives are very close and hard to be distinguished.

Details

Kybernetes, vol. 47 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/K-06-2017-0214
ISSN: 0368-492X

Keywords

  • Decision-making
  • Grey evaluation
  • Interval grey number
  • Grey clustering

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Article
Publication date: 2 November 2015

Grey clustering evaluation of urban low-carbon transport development based on triangular whitenization weight function

Jun Guo, Xi Zhao and Yimin Huang

The purpose of this paper is to establish a grey clustering evaluation model based on center-point triangular whitenization weight function to evaluate the situation of…

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Abstract

Purpose

The purpose of this paper is to establish a grey clustering evaluation model based on center-point triangular whitenization weight function to evaluate the situation of urban low-carbon transport development (LTD). The study results intend to provide some theoretical basis and tool support for transport management departments and related researchers who are engaged in low-carbon transport (LT).

Design/methodology/approach

The study uses analytical hierarchy process based on expert investigations to determine the weight of each criteria, classifies the grey clusters based on center-point triangular whitenization weight function, calculates the membership of each development criteria and ranks the development level of all dimensions.

Findings

The research results of case city show that low-carbon technology is in “poor” level, transport facility is in “superior” level, low-carbon policy and environmental coordination is in “intermediate” level, transport management is in “good” level and the overall LTD level is in “intermediate” level.

Practical implications

Reducing the carbon emissions of urban transport and achieving LT is the key to promote urban sustainable development, the scientific judgment of transport development situation is the premise of promoting LTD. Therefore, based on the practices of LT in China, the study systematically clarifies LTD from five dimensions of reflecting LTD.

Originality/value

From the perspective of sustainable development, the evaluation index system of LTD is built with five dimensions consisting of low-carbon technology, low-carbon policy, transport facility, transport management and environmental coordination. Then assess the LTD by using the grey clustering evaluation model based on center-point triangular whitenization weight. This paper presents a new research idea for LTD evaluation.

Details

Grey Systems: Theory and Application, vol. 5 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/GS-01-2015-0001
ISSN: 2043-9377

Keywords

  • Practical applications of grey models
  • Grey clustering evaluation

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Article
Publication date: 28 February 2019

Grey clustering evaluation based on AHP and interval grey number

Kejia Chen, Ping Chen, Lixi Yang and Lian Jin

The purpose of this paper is to propose a grey clustering evaluation model based on analytic hierarchy process (AHP) and interval grey number (IGN) to solve the clustering…

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Abstract

Purpose

The purpose of this paper is to propose a grey clustering evaluation model based on analytic hierarchy process (AHP) and interval grey number (IGN) to solve the clustering evaluation problem with IGNs.

Design/methodology/approach

First, the centre-point triangular whitenisation weight function with real numbers is built, and then by using interval mean function, the whitenisation weight function is extended to IGNs. The weights of evaluation indexes are determined by AHP. Finally, this model is used to evaluate the flight safety of a Chinese airline. The results indicate that the model is effective and reasonable.

Findings

When IGN meets certain conditions, the centre-point triangular whitenisation weight function based on IGN is not multiple-cross and it is normative. It provides a certain standard and basis for obtaining the effective evaluation indexes and determining the scientific evaluation of the grey class.

Originality/value

The traditional grey clustering model is extended to the field of IGN. It can make full use of all the information of the IGN, so the result of the evaluation is more objective and reasonable, which provides supports for solving practical problems.

Details

International Journal of Intelligent Computing and Cybernetics, vol. 12 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/IJICC-04-2018-0045
ISSN: 1756-378X

Keywords

  • Grey clustering
  • Interval grey number
  • Whitenisation weight function
  • Analytic hierarchy process (AHP)

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Article
Publication date: 28 July 2020

China's overcapacity industry evaluation based on TOPSIS grey relational projection method with mixed attributes

Xiumei Hao, Mingwei Li and Yuting Chen

This paper takes the seven overcapacity industries such as the textile industry, electricity and heat, steel, coal, automobile manufacturing, nonferrous metals and…

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Abstract

Purpose

This paper takes the seven overcapacity industries such as the textile industry, electricity and heat, steel, coal, automobile manufacturing, nonferrous metals and petrochemical industry as research objects and proposes a TOPSIS grey relational projection group decision method with mixed multiattributes, which is used for the ranking of the seven industries with overcapacity and provided relevant departments with a basis for decision-making.

Design/methodology/approach

First, an evaluation index system from four aspects is established. Secondly, the attributes of linguistic information are converted into two-dimensional interval numbers and triangular fuzzy numbers, and an evaluation matrix is constructed and normalized. This paper uses the AHP method to determine the subjective weights and uses the coefficient of variation method to determine the objective weights. Moreover, this paper sets up the optimization model with the largest comprehensive evaluation value to determine the combined weights. Finally, the TOPSIS grey relational projection method is proposed to calculate the closeness of grey relational projections and to rank them.

Findings

This paper analyzes the problem of overcapacity in seven industries with the TOPSIS grey relational projection method. The results show that the four industries of automobile manufacturing, textile, coal and petrochemical are all in serious overcapacity levels, while the three industries of steel, nonferrous metals and electric power are relatively in weak overcapacity level in the three years of 2016–2018. TOPSIS grey relational projection method ranks the overcapacity degree of the seven major overcapacity industries, making the relative overcapacity degree of each industry more clear and providing a reference for the government to formulate targeted policies and measures for each industry.

Practical implications

By using TOPSIS grey relational projection method to evaluate the overcapacity of the seven major overcapacity industries, on the one hand, it makes the relative overcapacity degree of each industry more clear, on the other hand, it can provides the basis for the government and decision-making departments. This helps them promote better the healthy and orderly economic development of the seven major industries and avoid resource waste caused by overcapacity.

Originality/value

This article solves the single evaluation method caused by the limited indicators in the past, combines TOPSIS and the grey relational projection method and applies it to the overcapacity evaluation of the industry, not only applies it to the evaluation of overcapacity for the first time but also involves novel problems and methods, which expands the scope of application of the model.

Details

Grey Systems: Theory and Application, vol. ahead-of-print no. ahead-of-print
Type: Research Article
DOI: https://doi.org/10.1108/GS-03-2020-0033
ISSN: 2043-9377

Keywords

  • Overcapacity
  • Mixed attributes
  • Combined weight
  • Grey relational projection method

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Article
Publication date: 7 July 2020

Research on faculty and staff for constructing the “double first-class” universities based on Grey–AHP comprehensive evaluation model

Jihong Sun

In order to improve the competitiveness of the “double first-class” university in China, it is essential to conduct a rational, scientific study of the current status of…

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Abstract

Purpose

In order to improve the competitiveness of the “double first-class” university in China, it is essential to conduct a rational, scientific study of the current status of the staff to ensure its long-term development.

Design/methodology/approach

Based on the grey analytic hierarchy process (Grey–AHP), this paper evaluates the situation of faculty and staff, hereby, analyzes the initiative and enthusiasm of faculty and staff in the construction of “double first-class universities”

Findings

The index weights of the main factors are similar, which indicate the development of teaching staff in higher education depends mainly on the role of full-time teachers, doctors and master's guidance teachers and non-teaching staff.

Originality/value

While the other literature emphasized scientific output, this article enlightened the important role of faculty and staff in the construction of ‘first-class' universities, which contributes to the study of development of China's high education in a new perspective.

Details

Grey Systems: Theory and Application, vol. 10 no. 4
Type: Research Article
DOI: https://doi.org/10.1108/GS-12-2019-0059
ISSN: 2043-9377

Keywords

  • “Double first-class”
  • Development of faculty and staff
  • Grey level comprehensive evaluation

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Article
Publication date: 5 February 2018

Research on safety evaluation of civil aircraft based on the grey clustering model

Bentao Su and Naiming Xie

The purpose of this paper is to construct a grey clustering model based on the nonlinear whitenization weight function and to assess the safety of civil aircraft by using…

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Abstract

Purpose

The purpose of this paper is to construct a grey clustering model based on the nonlinear whitenization weight function and to assess the safety of civil aircraft by using a quantitative method.

Design/methodology/approach

According to the running stage of civil aircraft safety assessment issues, first the civil aircraft safety evaluation index system is constructed by using a qualitative method. Taking the information duplication between indicators, the grey relational analysis method is used to filter the key indicators, then the grey clustering evaluation model of nonlinear whitening right function is built to evaluate the safety of civil aircraft and the algorithm steps of the evaluation model are given. Finally, the model is validated by collecting the parameters of nine different civil aircrafts at home and abroad.

Findings

The results show that the safety level of different types of aircraft is different due to the different index parameters, and to some extent, explain the rationality and scientificity of the method proposed in this paper to solve the problem.

Practical implications

This paper gives a complete set of security assessment methods, which can be used to evaluate the security of civil aircraft in the operational phase quantitatively, scientifically and reasonably. Furthermore, it can be extended to other complex system security or stability assessment issues.

Originality/value

It not only provides the supplement and perfection of the safety assessment method in the theoretical system to a certain extent, but also provides a theoretical guidance to solve the problem of civil aircraft system safety assessment of civil aircraft manufacturing enterprise all over the world. At the same time, the nonlinear grey clustering evaluation model constructed in this paper is an improvement of the traditional model, which is, to some extent, the improvement of the grey clustering evaluation theory.

Details

Grey Systems: Theory and Application, vol. 8 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/GS-10-2017-0034
ISSN: 2043-9377

Keywords

  • Grey relational analysis
  • Civil aircraft
  • Grey clustering model
  • Security evaluation
  • Whitenizaition weight function

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Article
Publication date: 6 February 2017

Explanation of terms of grey clustering evaluation models

Sifeng Liu and Yingjie Yang

The purpose of this paper is to present the terms of grey clustering evaluation models.

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Abstract

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.

Details

Grey Systems: Theory and Application, vol. 7 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/GS-11-2016-0046
ISSN: 2043-9377

Keywords

  • Grey clustering evaluation
  • Grey clustering
  • Degree of grey incidence
  • Variable weights
  • Possibility function
  • Fixed weights
  • End-point mixed possibility
  • Centre-point mixed possibility

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Article
Publication date: 12 April 2020

A novel synthetic index of two counts and mathematical model for researcher evaluation

Sifeng Liu, Qi Li and Yingjie Yang

The purpose of this paper is to present a novel synthetic index of two counts and mathematical model for researcher evaluation.

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Abstract

Purpose

The purpose of this paper is to present a novel synthetic index of two counts and mathematical model for researcher evaluation.

Design/methodology/approach

A synthetic index L for researcher evaluation considering both the total number of other citations (C) and nonacademic impact (I) and a synthetic evaluation model are proposed in this paper. C and I are verified impact indexes. According to investigation by Delphi method, researchers are divided into five different classes of “below average,” “average,” “good,” “excellent” and “stellar.” The threshold values for counts C of grey class “stellar” are determined by deep investigation. The possibility functions of the two counts C and I on four grey classes of “below average,” “average,” “good” and “excellent” are built.

Findings

The novel synthetic index of two counts and mathematical model for researcher evaluation provide a better way to conduct researcher assessment.

Practical implications

The synthetic index L presented in this paper can be used to evaluate a researcher. It's more reasonable than the current research assessment indexes such as the number of publications and the numbers of so-called high-quality journal publications and the amount of granted funds and so on. The synthetic index L reflects the actual value created by a researcher. No artificial maneuver can change them significantly.

Originality/value

A synthetic index L for researcher evaluation considering both the total number of other citations (C) and nonacademic impact (I) and a synthetic evaluation model are proposed in this paper.

Details

Grey Systems: Theory and Application, vol. 10 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/GS-01-2020-0012
ISSN: 2043-9377

Keywords

  • Researcher evaluation
  • Synthetics index
  • Total number of other citations
  • Nonacademic impact
  • Mixed center-point possibility function
  • Grey clustering evaluation model

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Article
Publication date: 28 October 2014

Grey clustering evaluation based on triangular whitenization weight function of enterprise's management innovation performance

Tianbo Li, Ershi Qi and Yimin Huang

The purpose of this paper is to attempt to establish a grey clustering evaluation model of center-point triangular whitenization weight function to measure the performance…

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Abstract

Purpose

The purpose of this paper is to attempt to establish a grey clustering evaluation model of center-point triangular whitenization weight function to measure the performance of enterprise's management innovation (MI). The author intends to provide some theory basis and tool support for enterprise's managers and other researchers who are engaged in performance measuring.

Design/methodology/approach

The study uses questionnaire survey and expert interviews to determine the index weight of enterprise's MI performance (MIP), classifies the grey clusters based on center-point triangular whitenization weight function, calculates the membership of performance criteria and ranks the performance level of all dimensions.

Findings

The survey data of case company shows that production performance is in superior level, employee and society influence performance are in satisfied level, finance and market performance are in intermediate level, total MIP is in satisfied level.

Practical implications

MI is the fundamental way to keep enterprise's core competitiveness and achieve its strategic objectives. Performance is an effective tool to measure the MI. Therefore, based on the practices of MI in China, the study systematically clarifies the performance level of MI from five dimensions.

Originality/value

The evaluation index of enterprise's MIP is built with five dimensions which contain production, market, finance, employee and social influence. The grey clustering evaluation model based on triangular whitenization weight function is applied to assess the performance criteria. This paper presents a new research idea for enterprise's performance evaluation.

Details

Grey Systems: Theory and Application, vol. 4 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/GS-05-2014-0017
ISSN: 2043-9377

Keywords

  • Grey clustering evaluation
  • Management innovation performance
  • Performance evaluation
  • Triangular whitenization weight function

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