Issue:On the modelling of industrial chemical processes by intuitionistic fuzzy generalized nets

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Title of paper: On the modelling of industrial chemical processes by intuitionistic fuzzy generalized nets
Krassimir Atanassov
CLBME, Bulgarian Academy of Sciences, Sofia, Bulgaria, Sofia, Bulgaria
Nikolai Nikolov
CLBME, Bulgarian Academy of Sciences, Sofia, Bulgaria, Sofia, Bulgaria
Zornitza Kirova
Department of Inorganic Technology, University of Chemical Technology, Bourgas 8010, Bulgaria
Nina Nikolova
CLPDP, Bulgarian Academy of Sciences, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 2 (1996) Number 2, pages 16—20
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Abstract: Until 1962, all mathematical methods — theoretical and applied alike — have been based on sequences of mathematical procedures. In that year, the Petri nets appeared to be the first parallel formal means for mathematical description. In the subsequent years, the latter have been subject to many modifications and extensions, one of which are the Generalized Nets (GN) and their extensions Intuitionistic Fuzzy Generalized Nets of the first and of the second type (IFGN1, IFGN2) [1, 2]. All GNs and their extensions are equivalent to each other, which means that IFGN1 and IFGN2 are conservative extensions of the ordinary GNs.

GNs, IFGN1, and IFGN2 are modem mathematical tools for description of complex structures, whose elements may be connected sequentially, parallel, or fed back (recycle processes).

So far there exist GN applications to various processes in chemical industry, flexible manufacturing systems, traffic planning, computer architecture. GNs allow for describing equally well the static and dynamic nature of any kind of discrete and continuous processes. This makes them a very suitable tool for mathematical modelling of the structure of complex chemical technological systems, and especially ones with recycling material and energy flows. Modelling of chemical processes is a necessaiy and veiy important step in designing chemical plants. Most contemporary models of industrial chemical processes include several levels of hierarchy.

To represent the kinetics of chemical reactions, and to model the set of processes (heat- and mass-exchange) going on in a catalyst layer concurrently with a chemical reaction, analytical models are used [6].

To model the structure of reactors for heterogeneous-catalytic processes including one or more adiabatic layers, mixers, heat-exchangers etc., combinatory (discrete) models are better, and one of them is modelling by GNs.

An example is presented in [3] — a GN model of the total energy and material balance of the NEFTOCHIM- Petrochemical Combine in Bourgas, in [4], GN models are described of an ammonia synthesis plant and a steam power cycle of a modem ammonia production plant and in [5] GN models are described of urea production plants of two different kinds of design.

In the present work the authors demonstrate the process of building an IFGN2 model of the structure consisting of a chemical reactor connected with a heat exchanger.

  1. Atanassov, K., Generalized Nets, World Scientific, Singapore, New Jersey, London, 1991, 377 p.
  2. Atanassov, K., Generalized Nets, Burgas, Pontica Print, 1992, 192 p. (in Bulgarian).
  3. Dimitrova, S., Dimitrova, L., Kolarova, T., Petkov, K., Atanassov, K., Christov, R., Generalized Nets Models of the Activity of the NEFTOCHIM - Petrochemical Combine in Bourgas, in "Application of Generalized Nets" (K.Atanassov, Ed.), World Scientific, Singapore, New Jersey, London, 1993, 208-213.
  4. Kirova - Yordanova, Z., Atanassov, K., Nikolov, N., Nikolova N., Application of Network Methods for Second-Law Analysis and Optimization of Chemical and Thermal Power Plants, in ECOS'96, Proceedings of International Symposium "Efficiency, Costs, Optimization, Simulation and Environmental Aspects of Energy Systems", June 25-27, 1996, Stockholm, Sweden.
  5. Kirova, Z., Atanassov, K., Mathematical Modelling of Urea Production Plants by Generalized Nets, Proceedings of National Conference on Production and Application of Mineral Fertilizers, April, 17-19, 1996, Velingrad, Bulgaria, p.51 (in Bulgarian).
  6. Levenspiel, O., Chemical Reaction Engineering, John Wiley & Sons, NY London, Second Edition, 1972.

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