Models of Postpress Processes Designing Vsevolod Senkivskyi [0000-0002-4510-540X] , Alona Kudriashova [0000-0002-0496-1381] , Iryna Pikh [0000-0002-9909-84444] , Ivan Hileta [0000-0001-6935-2854] , Oleh Lytovchenko [0000-0002-5637-6934] Ukrainian Academy of Printing, 19, Pid Holoskom St., Lviv, 79020, Ukraine senk.vm@gmail.com,kudriashovaaliona@gmail.com, pikhirena@gmail.com, hileta@gmail.com, lytowchenko@gmail.com Abstract. The study has highlighted a set of factors influencing the quality of postpress processes designing. A fuzzy preference relations on a given set of al- ternatives has been formed. The matrices of relations of alternatives by Pareto- oriented factors have been constructed and the non-dominant subset has been defined. Based on a fuzzy preference relation, the corresponding sets of non- dominated alternatives have been distinguished. The optimal variant of the ana- lysed process has been selected according to the maximum value of the utility function. Modelling of key operations and functions of postpress processes de- signing has been implemented through the development of a context diagram and a decomposition diagram of IDEF0 models, one of the elements of which are alternatives for this process implementation. Keywords: postpress process, factor, alternative, fuzzy preference relation, uti- lity function, optimization, model, IDEF0 modelling. 1 Introduction The final stage of the book production technology which includes finishing and bin- ding processes is often mistakenly identified with a set of mechanical, cyclically re- petitive actions, depriving them of a highly intellectual information component. This approach increases the likelihood of partial or total rejection of the print run. A typical mistake is also the mismatch of manufactured products to their functional and opera- tional characteristics. Thus, for example, for an edition that should serve for decades, one can use an adhesive binding of organic origin that is not suitable to meet the re- quirements and choose the wrong finishing material. Computer-aided automation does not presents the expected results, since the pro- cedures used are not integrated into a single, indivisible system. Under such condi- tions, post-operational information support is appropriate and necessary, which will result in a predictive assessment of the future products quality. Such an approach in the presence of uncertainty conditions requires the formation, calculation and multi- criteria assessment of alternative options for the implementation of postpress pro- cesses on the basis of fuzzy preference relations and determining the optimal one, which will result in obtaining the proper quality products. The specified procedure Copyright © 2019 for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0) 2019 DCSMart Workshop.