Combination Generalized Grey Target Decision Method for Mixed Attributes Based on Zero-Sum Game Theory

Ma, Jinghui; Yuan, Zhiqi; Zheng, Guang; Lang, Fushan

doi:10.1007/s10726-022-09794-x

Cited by 3 publications

(1 citation statement)

References 36 publications

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“…The fundamental idea behind a grey-target decision is to compare the proximity of each indicator sequence to an ideal sequence, often referred to as the target center. This method is commonly used to address multi-objective decision-making or assessment problems [25][26][27][28]. Therefore, the grey-target bull's-eye distance of the work process indicator sequences can be calculated, and the bull's-eye distance can be used to characterize the comprehensive evaluation value.…”

Section: Implementation Steps Of Grey-target Decision Assessment Modelmentioning

confidence: 99%

A Performance Evaluation Approach for Satellite Attitude Control System in Tracking Mode

Zhang,

Yang,

Cheng

et al. 2024

Applied Sciences

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The study of satellite performance evaluation can reveal the ability of satellite systems to fulfil corresponding tasks in the space environment, and provide information support for the resource allocation and mission scheduling of in-orbit satellites. In this paper, we took the satellite attitude control system in attitude tracking mode as the research object. In accordance with the system’s mission requirements, the control performance evaluation indicator set, characterized by a generalized grey number, is constructed to tackle the uncertainty and inadequacy of information contained in flight status data resulting from the complex space operating environment and sensor measurement noise. An improved principal component analysis method based on generalized grey number is proposed to solve the weight amplification caused by the correlation between performance indicators and realize the weight allocation of the indicators. Finally, the grey-target decision model is established to determine the weights of the performance indicators, and the performance evaluation model is established under the tracking mode. The feasibility of the grey-target decision-evaluation model based on the improved principal component is confirmed through comparative experiments.

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Section: Implementation Steps Of Grey-target Decision Assessment Modelmentioning

confidence: 99%

A Performance Evaluation Approach for Satellite Attitude Control System in Tracking Mode

Zhang,

Yang,

Cheng

et al. 2024

Applied Sciences

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Managerial risk data analytics applications using grey influence analysis (GINA)

Rajesh

2024

Data & Knowledge Engineering

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Symmetric Kullback–Leibler distance based generalized grey target decision method for mixed attributes

Ma,

Zhu

2024

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PurposeThe reported Kullback–Leibler (K–L) distance-based generalized grey target decision method (GGTDM) for mixed attributes is an asymmetric decision-making basis (DMB) that does not have the symmetric characteristic of distance in common sense, which may affect the decision-making result. To overcome the deficiency of the asymmetric K–L distance, the symmetric K–L distance is investigated to act as the DMB of GGTDM for mixed attributes.Design/methodology/approachThe decision-making steps of the proposed approach are as follows: First, all mixed attribute values are transformed into binary connection numbers, and the target centre indices of all attributes are determined. Second, all the binary connection numbers (including the target centre indices) are divided into deterministic and uncertain terms and converted into two-tuple (determinacy and uncertainty) numbers. Third, the comprehensive weighted symmetric K–L distance can be computed, as can the alternative index of normalized two-tuple (deterministic degree and uncertainty degree) number and that of the target centre. Finally, the decision-making is made by the comprehensive weighted symmetric K–L distance according to the rule that the smaller the value, the better the alternative.FindingsThe case study verifies the proposed approach with its sufficient theoretical basis for decision-making and reflects the preferences of decision-makers to address the uncertainty of an uncertain number.Originality/valueThis work compares the single-direction-based K–L distance to the symmetric one and uses the symmetric K–L distance as the DMB of GGTDM. At the same time, different coefficients are assigned to an uncertain number’s deterministic term and uncertain term in the calculation process, as this reflects the preference of the decision-maker.

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Combination Generalized Grey Target Decision Method for Mixed Attributes Based on Zero-Sum Game Theory

Cited by 3 publications

References 36 publications

A Performance Evaluation Approach for Satellite Attitude Control System in Tracking Mode

A Performance Evaluation Approach for Satellite Attitude Control System in Tracking Mode

Managerial risk data analytics applications using grey influence analysis (GINA)

Symmetric Kullback–Leibler distance based generalized grey target decision method for mixed attributes

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