The paper presents a structural and functional model of information technology for forming the quality of art and technical design of book at the stage of prepress preparing. The basis of the proposed technology is a fuzzy knowledge base which allows us to build the relationships between physically separated variables during the process of art and technical design of books by the use of both the means of mathematical theory of fuzzy sets and distinguished factors for prepress preparation of books. A fuzzy knowledge matrix for linguistic variables H - "quality of art design of books" which contain the linguistic variables G - "quality of art decoration" and R - "quality of technical design" have been formed and presented as the tables. The systems of fuzzy logical equations which determine the procedures of obtaining the weights of membership functions for a set of linguistic terms are developed and calculated. The defuzzification procedure has been performed for all linguistic variables considering the table of the membership functions normalized values in the three points of the universal set division. It has been proposed the quantitative indicator of the level of the predicted quality of the printing process by the implementation of defuzzification procedure of the output fuzzy set using the mass center method. The numerical value of the level of quality of art and technical design of books H = 52,5% has been obtained during the simulation process.
During a lot of time, from the beginning of creation to the present time, the book has
undergone a long stage of its identity forming. Considering the stages of becoming a
book, we can select several important processes which form its quality. For example,
the perception of content is determined by the design of the publication or the visual
factors which come into at the stage of transforming the author's work into a print
edition. The process of art and technical design belongs to the stage of prepress
preparation of publications [
Investigation concerning formation of quality of technical design of books can be
performed based on the applying of mathematical theory of fuzzy sets within the
framework of fuzzy logic inference system [
The issues devoted to prepress of books based on fuzzy logic technique are considered in [18–22]. So, in [18,19] the authors considered the process of realization of mounting descents. The paper [20] presents the results of research concerning formation of quality of designing and structuring of publications. Issues concerning formation integral prediction of the book publication quality are considered in [21]. The paper [23] presents the result of the research concerning quality assurance of publishing and printing processes. However, it should be noted that despite of achievement in this subject area, there are some unsolved tasks. For example, the prognostic evaluation of the quality of the investigated process considering a unified methodological basis, whose main components are the methods based on the theory of hierarchical multilevel systems, simulation techniques, study of operations and fuzzy sets, remains insufficiently studied nowadays.
The aim of the paper is development of information technology of forming the quality of art and technical design of book publications, the basis of which are both a fuzzy knowledge base and a system of fuzzy logical equations, which are the basis to determine an integral indicator of the quality level of art and technical design of publications.
and
A fuzzy knowledge base (FKB) is a set of fuzzy rules "if-then" which determine the relationship between the inputs and outputs of the investigated object and realize the investigated relationships between natural language factors using fuzzy set theory and linguistic variables. This allows us to build relationships between physically separated quantities during the process of art and technical design of books. A logical continuation of the formed fuzzy knowledge base is creation of a system of fuzzy logic equations which determine the procedures of obtaining the weights of the membership function for the set of linguistic terms of the integral quality index of the corresponding process and, as the result, its calculation.
The FKB is formed considering the expert assessments concerning influence of factors to the process of the book design. Moreover, the fuzzy knowledge base determines the algorithm of predicted quality formation based on combinations of values of linguistic terms (LT). Thus, the FKB can be represented as the set H – “quality of art and technical design of book editions” with linguistic terms LT – “Low, Medium, High”. The next step is formation of the linguistic variables (LV) sets: G – “quality of the art design” and R – “quality of the technical design” with LT – “Low, Medium, High”.
Considering the models of integral quality index formation [24], we can form the FKB as a set of fuzzy rules. This fuzzy knowledge base is presented in table 1.
The fuzzy knowledge base, presented in table 1, allows us to form the fuzzy logic equations in order to calculate the values of membership functions of terms which determine an integral index of the publication design process quality. These equations are presented below: for term “Low”: Med (H ) = ( Med (G) Low(R)) ( Med (G) Med (R)) ;
Hg (H ) = ( Hg (G) Med (R)) ( Hg (G) Hg (R)).
The fuzzy knowledge base for the next level, for both the G and R linguistic variables are presented in table 2 and table 3. The fuzzy logic equations which are formed based on both the table 2 and table 3 are presented below. These equations allow us to calculate the membership functions for linguistic variables G and R respectively.
(g3)
Quality of art design (G) Low (G) = ( l _ art (g1) compl(g2 ) simple (g3 )) ( ct (g1) simple (g2 ) simple (g3 )) Med (G) = ( l _ art (g1) simple (g2 ) compl(g3 )) ( ct (g1) compl(g2 ) simple (g3 )) High (G) = ( art (g1) complex(g2 ) compl(g3 )) ( ct (g1) compl(g2 ) complex(g3 )) Low (R) = ( little (r1) literary(r2 ) large (r3 )) ( little (r1) literary (r2 ) medium (r3 )) ; Med (R) = ( medium(r1) artistic(r2 ) large (r3 )) ( medium(r1) literary(r2 ) medium (r3 )) ; ( l arge (r1) artistic(r2 ) little(r3 )) High (R) = ( l arge (r1) technical(r2 ) medium (r3 )) .
l _ art (ai ) ct (ai ) art (ai ) simple(ai ) compl(ai ) complex(ai ) simple(ai ) compl(ai ) complex(ai )
1 0,11 0,11
1 0,11 0,11
1 0,11 0,11
At the next step, we form the fuzzy sets of the linguistic variable H "quality of art and technical design" with appropriate membership functions for the terms "low", "medium" and "high" in accordance with the following equation:
H (G, R) = Low1(H ) , Med2(H ) , High3(H ) (1) where 1, 2 , 3 are the quantitative values of the H linguistic variable relative to the appropriate terms.
Defuzzification process is performed based on hereinbefore described expert knowledge base, knowledge base of the linguistic variables and fuzzy set (1). Table 4 contains normalized values of the membership functions in three points of the universal set A for all linguistic variables.
Below, we present the fuzzy logic equations which allows us to determine the membership functions quantitative values for linguistic variables G "quality of art design" and R "quality of technical design" based on the data presented in the table 4. 0,77
1 0,33 0,77
1 0,66 0,11 0,11
1 0,11 0,11 1 little (ai ) medium(ai ) l arge (ai ) literary (ai ) artistic (ai ) technical(ai ) 0,66
1 0,55 0,11 0,11 1 little (ai ) medium(ai ) l arge (ai )
1 0,11 0,11
1 0,11 0,11
1 0,11 0,11 0,77
1 0,77 0,77
1 0,45 0,55
1 0,66 • • • • • • • • •
Finally, we perform the defuzzification of the fuzzy set (1) using center mass technique. The result of this step implementation is determination of quantitative value of the quality index of book editions prepress preparing: m H + (i −1) H = i=1
H − H
i (H ) m −1 m i (H ) i=1 (2) where H , H are the minimum and the maximum values of the linguistic variable H "quality of art and technical design" respectively; m is the number of linguistic terms.
Let, variables in the formula (2) take the following values: m = 3; 1(H ) = low(H ) , 2 (H ) = med (H ) , 3(H ) = high(H ) ; lower and upper bounds for linguistic variable H are follows: H = 10% , H = 100% . The calculation is carried out in three points of the range: 10, 55, 100. In this case, the value the quality level of art and technical design of the books is calculated as follows:
H =
1.1. Formation of general principles of the publishing process and the importance levels of its components 1.2. Describing the processes of prepress preparation of the books as a component of the research subject 1.3. Classification and formation of processes, procedures and factors of influence to the stage of the book editions prepress preparing with the use of Delphi's expert method 1.4. Creating the classification model of prepress preparing the book editions 2.1. Formation of semantic network of influence of the factors to the quality of art and technical design of the book editions with the use of the logic of predicates 2.2. Estimation of the factor weights by ranking method 2.3. Evaluation of the priority of the factors influence using the method of hierarchy analysis 2.4. Analysing the results of the use of both the ranking and analysis of hierarchy methods 2.5. Synthesis of model of priority influence of the factors to quality of art and technical design of book editions 3.1. Forming alternatives and selection of the optimal variant for quality assurance of the process using decision making theory 3.2. Forming alternatives and selection of the optimal variants based on a fuzzy preference ratio 3.3. Analysis of the alternatives of the book editions design obtained by both the decision-making theory and fuzzy preference ratio 4.1. Forming the fuzzy logic system components in order to predict the quality of art and technical design of the books 4.2. Creating the models to form the integral quality index of the book editions design
fuzzy logic equations of the book editions design
and technical design of book editions
2.3. Evaluation of the priority of the factors influence (based on the semantic network of factors) using the method of hierarchy analysis by creation of a binary dependences matrix and a reachability matrix between the factors. Implementation of an iterative algorithm for the formation of importance levels using the reachability matrix. Creation of the iterative tables for purpose of formation of the factor levels. Creation of a model of priority influence of the factors to the studied process quality.
2.4. Analysing the results of the use of both the ranking and analysis of hierarchy methods and determination of the priority for the best method.
2.5. Synthesis of model of priority influence of the factors to quality of art and technical design of book editions. Creation of a matrix of pairwise comparisons by comparison analysis of the factors based on the scale of the relative importance of the objects. Processing the matrix and obtaining specified weighted values of the factors the basis of an optimized multilevel model of ensuring the quality of the books design.
Stage 3. Solving the problems of choosing alternatives of art and technical design of the books.
3.1. Forming alternatives and selection of the optimal variant for quality assurance of the process using decision making theory. Solving the problem of multicriterial optimization for the mutually undominant factors which make up the Pareto set. Evaluating the alternatives using importance degree of the selected factors. Creating a matrix of pairwise comparisons for factors of Pareto set, normalizing the components of its main vector. Determination of the utility function maximum value.
3.2. Forming alternative variants of art and technical design of book editions considering the factors-linguistic variables of the Pareto set on the basis of fuzzy relations of their advantages in the alternatives and calculated values of the convolutions membership functions. Determination of the optimal variant based on the alternative selection algorithm in the following sequence: establishing a preference ratio for each of the factors relative to the set of the alternatives; creation of the relations matrix; creation of the relationships convolution; determination of the undominant alternatives set; calculation of the convolution membership function values for appropriate alternatives; finding the convolution intersection and appropriate membership function.
3.3. Analysis of the alternatives of the book editions design obtained by both the decision-making theory and fuzzy preference ratio.
Stage 4. Predicting the quality of art and technical design of book editions. 4.1. Forming the fuzzy logic system components in order to predict the quality of art and technical design of the book editions.
4.2. Creating the models to form the integral quality index. Setting the term sets of values for the linguistic variables with corresponding values variation ranges.
4.3. Creating and calculation of the linguistic variables membership functions. Determination of the membership functions quantitative values for the used terms.
4.4. Designing a fuzzy knowledge base and a system of fuzzy logic equations of the book editions design. Creation of the knowledge matrices for the appropriate linguistic variables. Formation of the fuzzy logic equations. Determination of the membership functions values for the set of terms.
4.5. Defuzzification process implementation. Formation of the normalized values of membership functions in the points of division of the universal set for all linguistic variables. Calculation of fuzzy logical equations for appropriate terms.
4.6. Calculation of quantitative index to evaluate the degree of predicted quality of book editions design.
This paper reflects the result of the research concerning the formation of the quality of art and technical design of book editions. At the first step, we have created the classification model of prepress preparing book editions. Then, we carried out based on this model formalized mapping and description of relationships between factors using semantic networks and predicate logic, which allowing us further research with the use of both the hierarchy theory and fuzzy logic. Multilevel models of priority influence of separated factors to the quality of art and technical design of book editions based on the calculation and ordering of their weight values by the method of hierarchies ranking and analysis were synthesized and optimized. This fact has allowed us to design alternatives and calculations of optimal variants of the book editions process preparing. As the result of the research, we have proposed a multilevel hierarchical model which contains the algorithm of forming the quality of art and technical design of the book editions.
The decision concerning evaluation of the quality of art and technical design of the book editions was taken based on fuzzy logic theory. Implementation of this technique assumes design of the fuzzy knowledge base which allows us to form relationships between physically separated quantitative variables during the process of art and technical design of book editions. The fuzzy knowledge matrices for the corresponding linguistic variables are designed during the simulation process. The systems of fuzzy logical equations that determine the procedures of obtaining the weights of the membership functions for the set of linguistic terms of the integral quality index of the investigated process quality have been development and calculated.
Defuzzification process was performed based on the normalized values of the membership functions in three points of division of the universal set A for all linguistic variables. The numeric value H = 52,5% of quality of the art and technical design of the book edition was obtained as the simulation result. The maximum value of this index was 100%. The conducted research allows us to obtain the predicted value of the quality index of the process of art and technical design of a book edition at the initial stage of its design. 16. Divandari, M., Rezaie, B., Ranjbar Noei, A.: Speed control of switched reluctance motor via fuzzy fast terminal sliding-mode control. Computers and Electrical Engineering, 80, art. no. 106472 (2019) doi: 10.1016/j.compeleceng.2019.106472 17. Karthick Raghunath, K.M., Thirukumaran, S.: Fuzzy-based fault-tolerant and instant synchronization routing technique in wireless sensor network for rapid transit system.
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