<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p><p>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.</p></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.

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

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

Folia Oeconomica Stetinensia

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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...

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

Published Online: Jun 03, 2015

Page range: 7 - 18

Received: Jul 05, 2014

Accepted: Dec 01, 2014

DOI: https://doi.org/10.1515/foli-2015-0010

Keywords
fuzzy conversion scales, fuzzy numbers, rating scale model

© University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jun 03, 2015

Page range: 7 - 18

Received: Jul 05, 2014

Accepted: Dec 01, 2014

DOI: https://doi.org/10.1515/foli-2015-0010

Keywordsfuzzy conversion scales, fuzzy numbers, rating scale model

© University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
fuzzy conversion scales, fuzzy numbers, rating scale model