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.
Real estate market can be thought of as an open, dynamic system. It means that it is able to exchange stimuli with other open systems, and that its state evolves in a way that might be described mathematically. It turns out that two main processes contribute to the overall evolution of the real estate market: long-term, predictable evolution, interrupted by sharp changes of catastrophic origin. In this picture, national housing funds play an important role in supporting the housing finance: on one hand they could either stimulate or suppress the real estate market influencing the availability of the mortgage credit, but on the other hand, they could also help to stabilize prices. In this study, an attempt was made to determine the degree of relationship between the volume of mortgage financing from national housing funds and the dynamics of real estate prices.
Art market has been developing in Poland and the first Art Fund was established in 2011. Therefore it seems that investment in art can be considered as alternative form by Polish investors. In order to decide whether art is a good investment, it is necessary to evaluate expected returns which might be obtained from such investment thus an art price index should be developed. The aim of the paper is to discuss artworks as investment assets and evaluate price index of paintings produced by 11 Polish artists whose artworks were traded the most often on auctions that were held in Poland in the years 2007–2010. In our research, employing data concerning 750 objects, we apply the hedonic index methodology to estimate returns from the paintings market. The results of our investigation show that hedonic quality adjustment essentially influences evaluation of artwork prices therefore we propose the aggregated hedonic index which might better describe situation at the art market than the hedonic index biased by the specification of a single model.
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