Advance in grey system theory and applications in science and engineering

Liu, Sifeng; Yong, Tao; Xie, Naiming; Tao, Liangyan; Hu, Mingli

doi:10.1108/gs-09-2021-0141

Cited by 35 publications

(40 citation statements)

References 58 publications

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“…Many new grey incidence analysis model have been constructed based on different research angles, and the existing incidence model has been optimized and improved, and fruitful results have been achieved. The grey incidence model based on the coefficient of point correlation was first proposed by Prof. Deng (Liu et al , 2018a), and later developed into the grey incidence analysis model based on the overall perspective or global perspective. Subsequently, due to the need of dealing with economic management problems, the degree of grey incidence model is gradually extended to the study based on the rate of change of behavior sequence (Wang, 1989; Wang and Zhao, 1999), curve geometry (Liu et al , 2010), periodic amplitude (Shi et al , 2008, 2010) and other perspectives.…”

Section: Literature Review Of the Application On Grey Model Technolog...mentioning

confidence: 99%

Application progress of grey model technology in agricultural science

Zhang

et al. 2022

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PurposeGrey modeling technique is an important element of grey system theory, and academic articles applied to agricultural science research have been published since 1985, proving the broad applicability and effectiveness of the technique from different aspects and providing a new means to solve agricultural science problems. The analysis of the connotation and trend of the application of grey modeling technique in agricultural science research contributes to the enrichment of grey technique and the development of agricultural science in multiple dimensions.Design/methodology/approachBased on the relevant literature selected from China National Knowledge Infrastructure, the Web of Science, SpiScholar and other databases in the past 37 years (1985–2021), this paper firstly applied the bibliometric method to quantitatively visualize and systematically analyze the trend of publication, productive author, productive institution, and highly cited literature. Then, the literature is combed by the application of different grey modeling techniques in agricultural science research, and the literature research progress is systematically analyzed.FindingsThe results show that grey model technology has broad prospects in the field of agricultural science research. Agricultural universities and research institutes are the main research forces in the application of grey model technology in agricultural science research, and have certain inheritance. The application of grey model technology in agricultural science research has wide applicability and precise practicability.Originality/valueBy analyzing and summarizing the application trend of grey model technology in agricultural science research, the research hotspot, research frontier and valuable research directions of grey model technology in agricultural science research can be more clearly grasped.

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Section: Literature Review Of the Application On Grey Model Technolog...mentioning

confidence: 99%

Application progress of grey model technology in agricultural science

Zhang

et al. 2022

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“…In grey situation group decision-making (Liu and Xie, 2008) of cooperative game, let A={a1,a2,⋅⋅⋅,an} be the event set, B={b1,b2,⋅⋅⋅,bm} be the strategy set, Dh={d1h,d2h,⋅⋅⋅,dph} be the set of decision experts participating in the No. h (h=1,2,⋅⋅⋅,H) layer of decision-making; Sh={sijkh=(aikh,bjkh)|aikh∈A,bjkh∈B} be the situation set of the No.…”

Section: Preliminariesmentioning

confidence: 99%

“…(Liu and Xie, 2008) Let ⊗1∈[a,b], a<b and ⊗2∈[c,d],c<d, then the sum total of ⊗1 and ⊗2 is ⊗1 plus ⊗2, and ⊗1 plus ⊗2∈[a+c,b+d].…”

Section: Preliminariesmentioning

confidence: 99%

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Multilayer grey situation group decision-making model based on cooperative game

Zhang

Yan

2022

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PurposeIn the process of group decision-making, there may be multilayer subjects. In other words, members of the decision-making group may come from different layers and there is interest game among decision experts. Therefore, it is an extremely important topic to aggregate the information of decision experts who are involved in hierarchical relations and gaming relations so as to effectively address game conflicts and reach game cooperation.Design/methodology/approachFirst, a programming model is established to minimize the difference of expert opinions in hierarchical decision-making, and the method to solve the optimal solution is given. Second, the cooperative game model and its properties are discussed by using cooperative game and Shapley value, and the method to determine the weight vector between layers is also proposed.FindingsThis model can quickly aggregate information and achieve game equilibrium among decision-makers with hierarchical relationships. It can be widely used in decision evaluation with hierarchy structure and has certain practical value.Originality/valueIn order to solve the problem that experts at different levels may have conflicts of interest in multilayer grey situation group decision-making process, cooperative game and Shapley value theory are introduced into the study, and a multilayer grey situation group decision-making model based on cooperative game is constructed. The validity and practicability of the model are illustrated by an example.

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“…Due to these research studies are based on the upper and lower membership function, the following research and application are few. Through literature search, it is found that there are few papers on the research of grey set in the past 20 years, which seriously restricts the rapid development of grey mathematics and grey system theory (Liu, 2017).…”

Section: Introductionmentioning

confidence: 99%

The method and its applications of determining possibility function of grey set

Li²

2022

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PurposeGrey set is the important foundation of the grey mathematics and grey system theory, and the possibility function is the way of expressing grey set. This paper aims to establish the method of determining the possibility function of grey set and discusses its extended applications.Design/methodology/approachFirst, the grey kernel and the grey support set of grey set are defined, and the properties of grey kernel are analyzed. Second, according to the decomposition theorem of grey set, a method of determining the possibility function of grey set is put forward in this paper, which is called the method of increasing information and taking maximum and minimum (IITMM), and then it is further simplified as the method of increasing information and taking maximum (IITM), and an simple example is given to illustrate the calculation procedure. Finally, the grey information cluster method (GICM) based on IITM is proposed and applied to the ecological and geographical environment analysis of pine caterpillar.FindingsThe results show that the grey kernel of grey set still has grey uncertainty; the method of IITM has simple calculation and strict mathematical basis, and it can synthesize the information of the research object and accords with the principle of using minimum information; the GICM and the fuzzy cluster method have the same classification effect.Practical implicationsThe researches show that method of IITM can be used not only to determine the possibility function of the grey set effectively, but also be used for the evaluation and cluster analysis of connotative objects. The classification result of the GICM presented in this paper is more precise than that of the fuzzy cluster method.Originality/valueThe paper succeeds in realizing both the IITM method for determining the possibility function of grey set and the GICM based on IITM for the connotative objects.

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Advance in grey system theory and applications in science and engineering

Cited by 35 publications

References 58 publications

Application progress of grey model technology in agricultural science

Application progress of grey model technology in agricultural science

Multilayer grey situation group decision-making model based on cooperative game

The method and its applications of determining possibility function of grey set

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