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THE RATING SCALE MODEL IN THE CONSTRUCTION OF FUZZY TOPSIS METHOD

100%
Jefmański B.
Metody Ilościowe w Badaniach Ekonomicznych
|
2014
|
vol. 15
|
issue 2
112-124
EN
Fuzzy TOPSIS method enables linear ordering of objects characterized by linguistic variables, which values constitute expressions emerging from natural language. Crucial, however, often neglected phase of this method is a selection of the way of introducing linguistic expressions by fuzzy numbers. Therefore, in this article one suggested a modification of fuzzy TOPSIS method using Rating Scale Model (RSM) to establish triangular fuzzy numbers. A suggested method enables establishing the rank of objects on the basis of objective criteria and subjective weights expressed in the form of triangular fuzzy numbers. Usability of the suggested method was confirmed by an empirical example, concerning linear ordering of selected smartphones models.
2

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

75%
Jefmański B.
Folia Oeconomica Stetinensia
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2014
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vol. 14
|
issue 2
7-18
EN
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.
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