基于IAHP-CRITIC二维云模型的舰船电力系统韧性评价

doi:10.12305/j.issn.1001-506X.2025.01.23

系统工程与电子技术 ›› 2025, Vol. 47 ›› Issue (1): 217-229.doi: 10.12305/j.issn.1001-506X.2025.01.23

基于IAHP-CRITIC二维云模型的舰船电力系统韧性评价

胡涛¹, 刘昊邦¹^,*, 陈童¹, 王宇江¹^,², 李明贵¹^,³, 杜凯⁴

1. 海军工程大学管理工程与装备经济系, 湖北武汉 430033
2. 中国人民解放军91515部队, 海南三亚 572000
3. 宇航动力学国家重点实验室, 海南三亚 572000
4. 陆军步兵学院石家庄校区, 河北石家庄 050083

收稿日期:2023-12-04 出版日期:2025-01-21 发布日期:2025-01-25
通讯作者: 刘昊邦
作者简介:胡涛(1970—), 男, 教授, 博士, 主要研究方向为装备管理与保障、系统工程
刘昊邦(1998—), 男, 博士研究生, 主要研究方向为装备管理与保障、系统工程
陈童(1980—), 男, 副教授, 博士, 主要研究方向为装备管理与保障、系统工程
王宇江(1989—), 男, 工程师, 硕士研究生, 主要研究方向为工程项目管理
李明贵(1984—), 男, 工程师, 硕士研究生, 主要研究方向为装备管理与保障、质量管理、系统工程
杜凯(1991—), 男, 讲师, 硕士, 主要研究方向为装备管理与保障、系统工程
基金资助:
国家自然科学基金(71501183)

Evaluation of ship power system resilience based on two-dimensional cloud model of IAHP-CRITIC

Tao HU¹, Haobang LIU¹^,*, Tong CHEN¹, Yujiang WANG¹^,², Minggui LI¹^,³, Kai DU⁴

1. Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China
2. Unit 91515 of the PLA, Sanya 572000, China
3. State Key Laboratory of Astronautic Dynamics, Sanya 572000, China
4. Shijiazhuang Campus of Army Infantry College, Shijiazhuang 050083, China

Received:2023-12-04 Online:2025-01-21 Published:2025-01-25
Contact: Haobang LIU

摘要/Abstract

摘要：

舰船电力系统是舰船正常运行的关键, 具有高度的复杂性和模糊性, 导致难以对其韧性做出准确、客观地评价。对此, 基于对舰船电力系统主要任务的分析, 对舰船电力系统韧性评价指标体系进行构建, 采用区间层次分析法(interval analytic hierarchy process, IAHP)和层间相关性准则重要性法(criteria importance though intercrieria correlation, CRITIC)分别求解评价指标体系的主、客观权重, 并运用改进博弈论方法确定组合权重, 降低权重计算的主观性和随机性。结合二维云模型从防御能力和恢复能力两个维度对舰船电力系统韧性进行评价, 更为全面、客观地反映舰船电力系统韧性。示例表明, 所提方法能够有效解决舰船电力系统韧性评价中的随机性和不确定性问题, 有利于得到更为准确、客观的评价结果。

关键词: 舰船电力系统, 二维云模型, 韧性评价, 区间层次分析法, 层间相关性准则重要性法

Abstract:

The ship power system is the key to the normal operation of the ship, and has high degree of complexity and fuzziness, which makes it difficult to evaluate its resilience accurately and objectively. According to the main tasks of the ship power system, the resilience evaluation index system of the ship power system is constructed. The interval analytic hierarchy process (IAHP) and the criteria importance though intercrieria correlation (CRITIC) are used to calculate the subjective and objective weights of the evaluation index system respectively, and the combined weights are determined by the improved game theory method to reduce the subjectivity and randomness of weight calculation. Combined with the two-dimensional cloud model, the resilience of ship power system is evaluated from two dimensions of defense capability and recovery capability, which reflects the resilience of ship power system more comprehensively and objectively. The example shows that the proposed method can effectively solve the randomness and uncertain problems in the resilience evaluation of ship power system, and is conducive to obtaining more accurate and objective evaluation results.

Key words: ship power system, two-dimensional cloud model, resilience evaluation, interval analytic hierarchy process (IAHP), criteria importance though intercrieria correlation (CRITIC

中图分类号:

E917

胡涛, 刘昊邦, 陈童, 王宇江, 李明贵, 杜凯. 基于IAHP-CRITIC二维云模型的舰船电力系统韧性评价[J]. 系统工程与电子技术, 2025, 47(1): 217-229.

Tao HU, Haobang LIU, Tong CHEN, Yujiang WANG, Minggui LI, Kai DU. Evaluation of ship power system resilience based on two-dimensional cloud model of IAHP-CRITIC[J]. Systems Engineering and Electronics, 2025, 47(1): 217-229.

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比例标度	重要程度
1	t_i与t_j同等重要
3	t_i比t_j稍微重要
5	t_i比t_j明显重要
2, 4	介于上述两判断的中间值

1级指标	权重			2级指标	权重
1级指标	IAHP法主观权重	CRITIC法客观权重	改进博弈论组合权重	2级指标	IAHP法主观权重	CRITIC法客观权重	改进博弈论组合权重
T₁	0.266	0.237	0.252	T₁₁	0.104	0.093	0.098
				T₁₂	0.077	0.071	0.073
				T₁₃	0.085	0.073	0.081
T₂	0.187	0.213	0.202	T₂₁	0.066	0.075	0.071
				T₂₂	0.083	0.091	0.087
				T₂₃	0.038	0.047	0.044
T₃	0.337	0.305	0.322	T₃₁	0.092	0.086	0.090
				T₃₂	0.076	0.067	0.071
				T₃₃	0.073	0.063	0.069
				T₃₄	0.096	0.089	0.092
T₄	0.210	0.245	0.224	T₄₁	0.088	0.102	0.093
				T₄₂	0.052	0.065	0.056
				T₄₂	0.070	0.078	0.075

1级指标	权重			2级指标	权重
1级指标	IAHP法主观权重	CRITIC法客观权重	改进博弈论组合权重	2级指标	IAHP法主观权重	CRITIC法客观权重	改进博弈论组合权重
T₁	0.307	0.286	0.295	T₁₁	0.115	0.109	0.112
				T₁₂	0.091	0.083	0.085
				T₁₃	0.101	0.094	0.098
T₂	0.152	0.168	0.161	T₂₁	0.053	0.059	0.057
				T₂₂	0.068	0.074	0.071
				T₂₃	0.031	0.035	0.033
T₃	0.353	0.365	0.359	T₃₁	0.098	0.112	0.106
				T₃₂	0.079	0.093	0.085
				T₃₃	0.076	0.068	0.072
				T₃₄	0.100	0.092	0.096
T₄	0.188	0.181	0.185	T₄₁	0.078	0.084	0.081
				T₄₂	0.043	0.038	0.040
				T₄₂	0.067	0.059	0.064

舰船电力系统韧性标准等级	舰船电力系统韧性水平描述	舰船电力系统防御能力	舰船电力系统恢复能力	标准云的数字特征(E_x0, E_n0, H_e0)
I	韧性极弱	防御能力极弱	恢复能力极弱	(0, 1.030, 0.261 8)
II	韧性弱	防御能力弱	恢复能力弱	(3.09, 0.6367, 0.161 8)
III	韧性极中	防御能力中	恢复能力中	(5, 0.393 5, 0.1)
IV	韧性强	防御能力强	恢复能力强	(6.91, 0.63 67, 0.161 8)
V	韧性极强	防御能力极强	恢复能力极强	(10, 1.030, 0.261 8)

舰船电力系统韧性综合评价云			舰船电力系统韧性一级指标评价云					舰船电力系统韧性二级指标评价云
目标	舰船电力系统防御能力	舰船电力系统恢复能力	指标	权重	舰船电力系统防御能力	权重	舰船电力系统恢复能力	指标	权重	舰船电力系统防御能力	权重	舰船电力系统恢复能力
T	(7.757, 0.606, 0.211)	(7.658, 0.593, 0.214)	T₁	0.252	(8.350, 0.642, 0.193)	0.295	(7.874, 0.516, 0.204)	T₁₁	0.098	(8.334, 0.582, 0.198)	0.112	(7.152, 0.447, 0.207)
								T₁₂	0.073	(7.946, 0.663, 0.165)	0.085	(8.423, 0.551, 0.223)
								T₁₃	0.081	(8.734, 0.696, 0.211)	0.098	(8.223, 0.566, 0.183)
			T₂	0.202	(7.446, 0.607, 0.199)	0.161	(7.484, 0.598, 0.234)	T₂₁	0.071	(7.323, 0.556, 0.175)	0.057	(6.823, 0.492, 0.203)
								T₂₂	0.087	(7.882, 0.675, 0.223)	0.071	(8.322, 0.688, 0.261)
								T₂₃	0.044	(6.784, 0.556, 0.193)	0.033	(6.824, 0.587, 0.228)
			T₃	0.322	(8.703, 0.628, 0.219)	0.359	(8.440, 0.648, 0.238)	T₃₁	0.090	(8.331, 0.663, 0.232)	0.106	(7.935, 0.612, 0.243)
								T₃₂	0.071	(8.856, 0.537, 0.213)	0.085	(9.215, 0.763, 0.257)
								T₃₃	0.069	(8.558, 0.653, 0.188)	0.072	(8.811, 0.691, 0.237)
								T₃₄	0.092	(9.058, 0.646, 0.234)	0.096	(8.033, 0.552, 0.216)
			T₄	0.224	(6.010, 0.534, 0.231)	0.185	(5.948, 0.604, 0.169)	T₄₁	0.093	(6.273, 0.497, 0.208)	0.081	(5.511, 0.533, 0.173)
								T₄₂	0.056	(5.882, 0.479, 0.266)	0.040	(6.103, 0.688, 0.177)
								T₄₃	0.075	(5.778, 0.622, 0.234)	0.064	(6.405, 0.642, 0.158)

基于IAHP-CRITIC二维云模型的舰船电力系统韧性评价

Evaluation of ship power system resilience based on two-dimensional cloud model of IAHP-CRITIC

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