Processing of linguistic variable membership functions for post-printing processes design (part 2. Visualization of membership functions values)

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Kudriashova A. V., Senkivskyi V. M. № 1 (79) 30-41 Image Image

Theoretical bases of a technique of processing of membership functions of linguistic variables terms of technological process are presented. The representation of the linguistic term “the level of quality of design of post-printing processes” on the universal fuzzy set with the corresponding linguistic variables and ranks in the selected range is formalized. The key tasks of the research are formed. The values of membership functions of linguistic variables “publication indicators” (terms “simple”, “complicated”, “complex”), “design features” (terms “simple”, “complicated”, “comp­lex”), “operating conditions” (terms “nor­mal”, “working” and “marginal”), “ty­pe of production” (terms “single”, “serial” and “mass”), “materials” (terms “low”, “me­dium” and “high”, criterion) (complexity of processing)), “type of equipment” (terms “ma­nual”, “mechanical”, “automated”), “tech­nological and economic calculations” (terms “low”, “medium” , “high”, criterion “pro­duction efficiency”) and “technological process scheme” (terms “simple”, “comp­li­ca­ted”, “complex”). The obtained values are normalized relative to the unit. Fuzzy sets are for­med for each term of linguistic variables. Pro­cessing of membership functions, based on matrices of pairwise comparisons, makes it possible to transform the expert opinion into quantitative indicators. Graphs of term membership functions are constructed from fuzzy sets. In this case, the abscissa axis reflects the universal sets of values, and the ordinate axis shows the normalized values of the membership functions of the linguistic va­riables terms of post-printing processes design. Prerequisites for establishing an in­teg­rated indicator of the quality of the studied process are created.

Keywords: membership function, quality, design of post-printing processes, vi­sua­li­za­tion, linguistic variable, term, universal set of values.

doi: 10.32403/0554-4866-2020-1-79-30-41


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