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Application Of Rating Scale Model In Conversion Of Rating Scales' Points To The Form Of Triangular Fuzzy Numbers

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  • Jefmański Bartłomiej

    (Wrocław University of Economics, Faculty of Economics, Management and Tourism, Department of Econometrics and Computer Science, Nowowiejska 3, 58-500 Jelenia Góra, Poland)

Abstract

A new application of fuzzy sets theory in social and economic research is a fuzzy measurement of respondents' opinions. In the subject literature fuzzy rating scales or fuzzy conversion scales are being applied. In this second case, a key stage is a choice of such parameters' values of fuzzy numbers which will best illustrate the perception of linguistic values constituting points of measurement scales.In the construction of fuzzy conversion scales the item response theory models can find an application. The transformation method of verbal categories to the form of triangular fuzzy numbers with the application of rating scale model was proposed in this article. Usefulness of a suggested approach was introduced on the basis of the analysis of selected research results on inhabitants' quality of life in one of the Lower Silesian Voivodship districts. The analysis results showed big ambiguity of particular verbal categories and, in consequence, the validity of fuzzy conversion scales application.

Suggested Citation

  • Jefmański Bartłomiej, 2014. "Application Of Rating Scale Model In Conversion Of Rating Scales' Points To The Form Of Triangular Fuzzy Numbers," Folia Oeconomica Stetinensia, Sciendo, vol. 14(2), pages 7-18, December.
    • Handle: RePEc:vrs:foeste:v:14:y:2014:i:2:p:7-18:n:10
    DOI: 10.1515/foli-2015-0010
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    References listed on IDEAS

    as
    1. David Andrich, 1978. "A rating formulation for ordered response categories," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 561-573, December.
    2. Liu, Xiaohong & Zeng, Xianyi & Xu, Yang & Koehl, Ludovic, 2008. "A fuzzy model of customer satisfaction index in e-commerce," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(5), pages 512-521.
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    More about this item

    Keywords

    fuzzy conversion scales; fuzzy numbers; rating scale model;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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