SoS Effectiveness Evaluation Method Based on Fuzzy Functional Dependency Network Analysis

doi:10.16182/j.issn1004731x.joss.25-0464

Abstract

Abstract:

Functional dependency network analysis (FDNA) enables modeling functional dependencies among equipment in a system of systems (SoS) and then computing the whole SoS effectiveness based on the effectiveness of each equipment, thus overcoming the deficiency of traditional SoS effectiveness evaluation based on tree-like index systems. However, critical parameters such as strength/criticality of dependency in this methodology currently rely on subjective empirical assignments, where the deviations resulting from subjectivity may compromise the accuracy of effectiveness evaluation. To address this limitation, this paper proposes a fuzzy FDNA (FFDNA)-based SoS effectiveness evaluation method. This method constructs a functional dependency network (FDN) model based on the functional attributes of equipment, and incorporates synthesis credibility of dependency to improve analytical accuracy. More importantly, to mitigate the subjectivity of dependency parameter selection, triangular fuzzy numbers (TFN) and fuzzy mathematical calculations are introduced for effectiveness computation. Experimental validation through simulated combat scenarios confirms effectiveness and practicality of the method.

Key words: system-of-systems, effectiveness evaluation, fuzzy functional dependency network analysis, fuzzy mathematics

CLC Number:

TP391.9

Su Hongjia, Zhang Cheng, Liu Fei. SoS Effectiveness Evaluation Method Based on Fuzzy Functional Dependency Network Analysis[J]. Journal of System Simulation, 2026, 38(5): 1224-1238.

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变量名称	边	S₁	S_T
COD_l165	r₃,C->r₆,D	0.123 139 3	0.041 283 4
COD_h163	r₃,C->r₄,D	0.106 715 1	0.026 327 2
COD_l170	r₃,S->r₁₅,C	0.104 752 1	0.026 639 5
COD_h172	r₃,S->r₃,C	0.081 486 1	0.030 767 8
COD_l168	r₃,D->r₂₁,I	0.080 942 6	0.029 858 7

想定	FFDNA	HI-FDNA	E-FDNA
1	5.356×10³	5.665×10³	5.560×10³
2	5.218×10³	5.510×10³	5.423×10³
3	3.668×10³	3.868×10³	3.794×10³
4	4.073×10³	4.276×10³	4.205×10³

想定	FFDNA	HI-FDNA	E-FDNA
1	1.368×10³	1.560×10³	1.520×10³
2	1.292×10³	1.476×10³	1.442×10³
3	0.948×10³	1.086×10³	1.060×10³
4	1.056×10³	1.205×10³	1.179×10³

节点ID	FFDNA 模糊值	FFDNA精确值	HI-FDNA	E-FDNA
(r₁₅,I)	<48.64,53.64,55.99>	52.98	75.00	74.58
(r₁₈,I)	<20.11,23.45,23.45>	22.61	50.00	50.00
(r₁₉,I)	<0.00,10.00,10.00>	7.50	50.00	50.00
(r₂₀,I)	<27.50,32.50,32.50>	31.25	50.00	50.00
(r₂₁,I)	<27.50,32.50,32.50>	31.25	50.00	50.00