Processing of linguistic variable membership functions for post-printing processes design (part 1. Creation of matrices of pairwise comparisons)

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Kudriashova A. V. № 1 (60) 26-32 Image Image

The theory of fuzzy logic has been used because of the impossibility of implicitly describing the factors influencing the quality of post-printing design. This approach makes it possible for the expert to form fuzzy descriptions, that is, to separate lin­guistic variables, term-sets of values and assign them appropriate quantitative cha­racteristics. Thus, we present the linguistic variables of the post-printing process va­riables (publication rates, design features, operating conditions, production type, ma­terials, equipment type, technological and economic calculations, flow chart) and their corresponding sets of terms (verbal characteristics set), taking into account the qua­lity distribution on partial indicators (quality of formation of the edition, quality of production organization, quality of processing of the edition). The range of possible values of linguistic variables is divided into two parts by three points, which is sufficient for visualization of qualitative indicators. The points of division are given conditional locations in the range of possible values of linguistic variables on the universal set. For example, for the linguistic variable “edition indicators” (publication complexity), a term set of values and a universal set of values [1, 2, 3] are formed. Based on expert-generated baseline data and the Saati relative importance scale, we construct square inverted symmetric matrices for each term of the linguistic variables analysed. Specialists in the printing industry are involved as experts. Further calculation of the matrices will result in the numerical values of the membership functions at the established ranks of linguistic terms at the three points of division of the universal set. Thus, the basis for setting maximum values of functions is created.

Keywords: linguistic variable, term-set, universal set of values, matrix of pairwise comparisons, design of post-printing processes, quality.

doi: 10.32403/1998-6912-2020-1-60-26-32

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