Using fuzzy sets in the estimation system of the efficiency of urban environment metabolism (on the example of cities of Ukraine)

    Igor Patrakeyev   Affiliation
    ; Victor Ziborov   Affiliation


The urban environment is a networked metabolic organism. The urban environment includes networks that feed it with energy, resources, people, goods and information. The urban environment carries out a permanent transformation of matter, energy and produces waste, which together change the urban environment. We have proposed to use an indicator for assessing the efficiency of the metabolism of the urban environment, which allows to take into account the relationship between the urban structure, energy consumption, emissions of pollutants and the intensity of consumption of natural resources. We use this indicator as a tool for forecasting sustainable urban development. Using the example of Poltava city, we have shown that the indicator for assessing the metabolic efficiency of the urban environment can be used as one of the decision-making tools for the sustainable development of Ukrainian cities. The improvement of existing and development of new indicators is an important task towards the implementation of the concept of sustainable development, which is a logical continuation of the teachings of V. I. Vernadsky on the noosphere.

Keyword : resource flows, energy balance, free energy, metabolism of the urban environment, material-energy streams, fuzzy logic

How to Cite
Patrakeyev, I., & Ziborov, V. (2019). Using fuzzy sets in the estimation system of the efficiency of urban environment metabolism (on the example of cities of Ukraine). Geodesy and Cartography, 45(3), 102-109.
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Oct 25, 2019
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Acebillo, J., & Maggi, R. (2008). LNL – La Nuova Lugano, Visioni, sfide e territorio della citta. Lugano: CUP-IRE.

Allen, S. (2009). Points and lines: Diagrams and projectsfor the city. New York: Princeton Architectural press.

Bertalanffy, L. V. (2004). Teoria generate dei sistemi: fondamenti, sviluppo, applicazioni. Milano: Mondadori.

Bettencour, L. A., Lobo, J., Helbing, D., Kühnert, C., & West, G. B. (2007). Growth, innovation, scaling, and the pace of life in cities. In Proceedings of the National Academy of Sciences, 104(17), 7301-7306.

Bolshakov, B. Y. (2002). Scientific groundwork for design in the system “nature ‒ society ‒ man”. Moscow ‒ SPb. ‒ Dubna: Guma nistika.

Butera, F., & Caputo, P. (2008). Planning eco-cities, the case of Huai Rou New Town. Paper presented at Proceedings of the 3rd International Solar Cities Congress, Adelaide.

Chekmarev, A. (2010). Qualimetry and quality management. Part 1. Qualification textbook. Samara: Samara Publishing House.

European Green City Index. (2009). Assessing the environmental impact of Europe’s major cities. Research project conducted by the Economist Intelligence Unit – Munich: Siemens AG.

Enkvist, P., Naucler, T., & Rosander, J. (2007). A cost curve for greenhouse gas reduction. McKinsey Quarterly, No. 2.

Haurie, A., & Viguier, L. (2004). The coupling of climate and economic dynamics. Essays on integrated assessment. Vienna: Springer.

Harvey, D. (2011). Megacities Lecture 4. Amersfort: Twynstra Gudde Management Consultants.

Karavaeva, N. I., Levchenko, L. A., & Trohimenko, J. M. (2011). Analysis of approaches to formation of systems of indicators of sustainable development. Collection of scientific works “Management of development of complex systems”, 7, 126-131.

Kennedy, C., Cuddihy, J., & Engel-Yan, J. (2007). The changing metabolism of cities. Journal of Industrial Ecology, 11(2), 4359.

Lotka, A. J. (1998). Analytical theory of biological populations. USA: Springer.

Lozano, S., & Gutierrez, E. (2008). Non-parametric frontier approach to modelling the relationships among population, GDP, energy consumption and CO2 emissions. Ecological Economics, 66(4), 687-699.

Newman, P. (2004). Sustainability and cities: extending the metabolism model. Landscape and Urban Planning, 44(4), 219-226.

Odum, E. (1998). Ecological vignettes: Ecological approaches to dealing with human predicaments. Harwood Academic Publishers.

Patrakeyev, I. M. (2015). An Ontological study of an urban environment. Collection of scientific works “Management the development of complex systems”, 1(23), 159-168.

Paola, C., Giulia, P., & Marco, B. (2016). Urban metabolism analysis as a support to drive metropolitan development world. Procedia Engineering, 161, 1588-1595.

Poltava 2030. Integrated development of the city (n.d.). Retrieved from

Santamouris, M. (2004). Cooling the cities. Rafraichir les Villes. Paris: Ecole des Mines de Paris.

Tistol, N. I. (2013). Conceptual approach to evaluating the quality of the residential environment. Collection of Scientific Works “Management the Development of Complex Systems”, 13, 130-135.

Urban development and urban metabolism: A spatial approach. (2013). Retrieved from

Yanshin, A. L. (2007). The Doctrine of V. I. Vernadsky about biosphere and modernity. In Towards sustainable development (pp. 39-61). Moscow.