Geodesic
Method of analysis of hierarchies and construction integrated parameters for multiple systems
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1335-1340

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In article the method of construction of integrated parameters for the systems having hierarchical structure is offered. Feature of researched systems will be their multidimensionality and heterogeneity of characteristics making them. The problem of construction of a complex estimation of a condition of such objects or processes is actual for various branches of knowledge (economy, ecology, medicine). From the mathematical point of view construction of integrated parameters concerns to problems multicriteria the analysis of hierarchies, therefore a first step at construction of an integrated parameter is decomposition of object on parts making it. Such decomposition is convenient for representing as the graph. We use a linear function - the enclosed linear convolution with weight factors of the importance of each criterion to make a scalar function from vector criterion. Weight factors are in turn determined by method of hierarchy’s analysis, allowing to translate qualitative gradation of a condition of system in quantitative. Further the integrated parameter is considered as the criterion function subject to improvement in some optimum image.
Keywords: method of hierarchy’s analysis, integrated parameter, nested linear convolution, health-related quality. 
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     author = {I. A. Finogenko and M. P. D'yakovich},
     title = {Method of analysis of hierarchies and construction integrated parameters for multiple systems},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {1335--1340},
     publisher = {mathdoc},
     volume = {22},
     number = {6},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a17/}
}
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I. A. Finogenko; M. P. D'yakovich. Method of analysis of hierarchies and construction integrated parameters for multiple systems. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 6, pp. 1335-1340. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_6_a17/