Materials, Methods & Technologies ISSN 1314-7269, Volume 10, 2016 Journal of International Scientific Publications www.scientific-publications.net Page 455 INTERCRITERIA ANALYSIS FOR MODELLING OF PROCESS FOR THE UNICELLULAR PROTEIN PRODUCTION FOR TRAINING PEOPLE Tatiana S. Ilkova, Mitko M. Petrov Institute of Biophysics and Biomedical Engineering – Bulgarian Academy of Sciences, 105, Acad. George Bonchev Str., 1113 Sofia, Bulgaria Abstract This paper presents an application of a method for multicriteria decision making, namely InterCriteria Analysis (ICrA). The ICrA method gives possibility to compare some criteria or estimated by them objects. There we have applied this method to create а structural identification of а mathematical model of a whey fermentation process. The process is for production of unicellular protein by whey by the strain Kluyweromyces marxianus var. lactis MC 5. We have established the relation between the basic criteria (kinetic variable and coefficients): biomass, lactose, oxygen, flow rate, specific growth rate from lactose and oxygen, specific consumption rate for lactose, specific consumption rate for oxygen, yield coefficient for formation of biomass from lactose and yield coefficient for formation of biomass from oxygen with ICrA. With the founded relations between them, obtainet with ICrA, and the biochemical kinetic laws we have developed a mathematical model of the process. Key words: InterCriteria analysis, Kluyweromyces marxianus var. Lactis MC 5, fed-batch process, intuitionistic fuzzy sets, index matrices 1. INTRODUCTION The cultivation of the lactose oxidation from a natural substratum in the fermentation of Kluyweromyces marxianus var. lactis MC 5 uses non-conventional ways for receiving unicellular proteins. The producing of lactose with using of cheese whey, which is a waste product at the production of white brine cheese leads to the receiving one of close cycle (Petrov, Ilkova & Vanags 2015). But the modeling of the process is not well studied. Therefore, a general mathematical model of the microbial synthesis does not exist because of the extreme complexity and great variety of living activity of microorganisms, although various models of the biotechnological process as well as of different parts of whey fermentation exist (Petrov, Ilkova & Tzonkov 2005). Atanassov, Mavrov & Atanassova 2014 introduced a new approach for multicriteria decision making, namely ICrA. This is a method for decision making, that is based on the apparatus of index matrices (IMs) (Atanassov 1987, 2010a, 2010b) and intuitionistic fuzzy sets (IFs) (Atanassov 2012, Atanassov, Szmidt & Kacprzyk 2013) and can be applied for decision making in different areas of science and practice. The new approach for multicriteria decision making makes it possible to compare certain criteria or objects estimated by them. At this moment, for two years, ICrA has applied in several areas of the science and different scientific and practical problems have been decided. For an example Atanassova et al. (2014a, b, 2015) applied ICrA approach in an EU member states competitiveness analysis. They carried out a temporal and threshold analysis. So, also in Pencheva et al. 2015 ICrA has been applied for the first time in the field of parameter identification of fermentation processes (FP) models. The ICA implementation allowed to authors to establish relations and dependencies between two of the main genetic algorithms (GA) parameters - numbers of individuals and number of generations, on the one hand, and convergence time, model accuracy and model parameters on the other hand. In Roeva et al. 2015a ICrA is applied to establish relations and dependencies between different model parameters. FP of bacteria E. coli and yeast S. cerevisiae are examined and six different GA are applied for the parameter identification. Further, ICA is applied to explore the existing relations and dependencies of defined model parameters and GA outcomes – execution time and objective function