The foundation of the grey matrix and the grey input–output analysis

Li, Qiaoxing; Liu, Sifeng

doi:10.1016/j.apm.2006.12.002

Cited by 48 publications

(67 citation statements)

References 20 publications

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“…(9) only in the simplest cases of linear equations, whereas the key methodological problem we deal with is to find an adequate interval extension of linear and nonlinear equations in their most general form f ðxÞ ¼ 0. In general, the selection of the proper interval or fuzzy extensions of f ðxÞ is rather a complex task [30].…”

Section: Fundamentals Of ''Interval Extended Zero'' Methods For Solvinmentioning

confidence: 99%

“…Let us consider the numerical example of the interval IOA. The data were adopted from the paper [30] where Interval IOA of the national economy is presented by six basic sectors: agriculture (sector 1), the industry (sector 2), the construction (sec- Fig. 9.…”

Section: Case Study: Interval Extension Of Gauss Elimination Algorithmentioning

confidence: 99%

“…The problems of interval and fuzzy equations solution are of perennial interest, because of their direct relevance to practical modeling and optimization of real-world processes including finance [10,16], economy [9,12,30,40], and mechanics [19].…”

Section: Introductionmentioning

confidence: 99%

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A new method for solving interval and fuzzy equations: Linear case

Sevastjanov

Dymova

2009

Information Sciences

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Section: Fundamentals Of ''Interval Extended Zero'' Methods For Solvinmentioning

confidence: 99%

Section: Case Study: Interval Extension Of Gauss Elimination Algorithmentioning

confidence: 99%

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A new method for solving interval and fuzzy equations: Linear case

Sevastjanov

Dymova

2009

Information Sciences

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“…Although the grey number can be adopted to deal with the insufficient and incomplete information effectively [27][28][29], the concepts of grey number are not still widely applied. One of the main reasons is lack of grey number distance function.…”

Section: Grey Numbermentioning

confidence: 99%

Grey number prediction using the grey modification model with progression technique

Shih

Hsu

Yeh

et al. 2011

Applied Mathematical Modelling

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a b s t r a c tAlthough the grey model has been employed in various fields and demonstrated promising results, most applications focus on precise number predictions. However, owing to the increasing complexity of real-world problems, the grey number predictions will be more flexible and practical for grey model to describe the uncertain future tendency. For the purpose of establishing a grey model with grey number, this paper proposes a progression technique, which adopts different length series divided from the simulation data to produce a grey number prediction. Besides, this paper also modifies the algorithm of grey model, including altering the calculation of background value with an integration term and replacing the initial value of grey differential equation to the latest point, to enhance its accuracy. Two illustrative examples of numerical series and stock market are adopted for demonstrations. Results show that the proposed model can both catch the future tendency and reduce the loss of erroneous judgments.

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“…[5] In order to detect the interaction and dependency, decision-maker can use input-output analysis which was proposed by Leontief in analyzing the US economy. Input-output analysis explained the interconnection among sectors of complex economic systems, which may be national, regional, or enterprise type (Li and Liu, 2008) [6] .…”

Section: Introductionmentioning

confidence: 99%

The Evaluation of Knowledge Innovation Capability Based on ANP

Yan¹,

Jiang²

2015

Proceedings of the 2015 International Conference on Engineering Management, Engineering Education and Information Technology

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Abstract. Along with quick development of global economy, knowledge innovation capability (KIC) is gradually becoming one of the most important motility of enterprise growth. Therefore, how to evaluate KIC is increasingly becoming a hot topic. In order to properly evaluate and improve KIC for enterprise or region, through introducing an analytical network process (ANP) model, this study reports an application of proposed methodology as a case study related to large and medium-sized industrial enterprises in China.

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The foundation of the grey matrix and the grey input–output analysis

Cited by 48 publications

References 20 publications

A new method for solving interval and fuzzy equations: Linear case

A new method for solving interval and fuzzy equations: Linear case

Grey number prediction using the grey modification model with progression technique

The Evaluation of Knowledge Innovation Capability Based on ANP

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