Evaluation of a complex quality index using numerical and verbal ordinal scale

Authors

  • Olga Redyoga National Technical University of Ukraine "Kyiv Polytechnic Institute" Pr. Peremohy 37 Kyiv, Ukraine, 03056, Ukraine
  • Nina Yaremchuk National Technical University of Ukraine "Kyiv Polytechnic Institute" Pr. Peremohy 37 Kyiv, Ukraine, 03056, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2014.21831

Keywords:

evaluation of complex quality index, numerical and verbal scales

Abstract

When determining the complex objects quality, verbal-numerical scales are used, in which, along with quantitative estimates of the scale points or equivalence classes boundaries their verbal interpretation is given. The objective of the paper is to compare the aggregation results of the single quality indexes, presented in verbal and numerical ordinal scales, obtained by arithmetization of these verbal scales. The aggregation result is the complex quality index, obtained based on the set of single indexes (provided that the weight coefficients are equal to one). The conditions, under which the results of aggregation, performed by aggregation operators in different scales (verbal and numerical) coincide (or not) within certain boundaries are determined, additional rules for determining the complex quality index scale are introduced. The study allowed to obtain the compliance matrix for verbal-numerical scale of complex quality index. It was found that unambiguous compliance in aggregation results occurs only for extreme and central from the ranked quality profiles. For other profiles, the compliance probability (or incompliance) of the data, obtained on numerical and verbal scales, used in referring the quality level to a certain equivalence class on the complex index, was determined.

Author Biographies

Olga Redyoga, National Technical University of Ukraine "Kyiv Polytechnic Institute" Pr. Peremohy 37 Kyiv, Ukraine, 03056

Assistant

Department of information and measuring equipment

Nina Yaremchuk, National Technical University of Ukraine "Kyiv Polytechnic Institute" Pr. Peremohy 37 Kyiv, Ukraine, 03056

Head of Department of Information and measuring equipment

Department of information and measuring equipment

References

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  16. Flynn, D., van Sckaik, P., van Wersh, A. (2004). A comparison of multi-item likert and visual analogue scales for the assessment of transactionally defined coping function. European Journal of Psychological Assessment, 20 (1), 49–58.
  17. Beair, I., Lacy, Mg. (2000). Statistics of ordinal variation. Sociol. Methods Res, 28, 251–280.
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  20. Bashkansky, E., Gadrich, T. (2010). Some metrological aspects of ordinal measurements. Accred. Quality Assurance, 15, 331–336.

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Published

2014-02-17

How to Cite

Redyoga, O., & Yaremchuk, N. (2014). Evaluation of a complex quality index using numerical and verbal ordinal scale. Eastern-European Journal of Enterprise Technologies, 1(2(67), 58–62. https://doi.org/10.15587/1729-4061.2014.21831

Issue

Vol. 1 No. 2(67) (2014): Information technology. Control systems

Section

Control systems

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Copyright (c) 2014 Olga Redyoga, Nina Yaremchuk

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