Journal
SYMMETRY-BASEL
Volume 9, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/sym9110253
Keywords
fuzzy soft set; linear regression; valuation of goods; data filling; decision making
Categories
Funding
- Spanish Ministry of Economy, Industry and Competitiveness
- European Regional Development Fund-ERDF/FEDER-UE [ECO2015-66504, DER2016-76053-R]
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Zadeh's fuzzy set theory for imprecise or vague data has been followed by other successful models, inclusive of Molodtsov's soft set theory and hybrid models like fuzzy soft sets. Their success has been backed up by applications to many branches like engineering, medicine, or finance. In continuation of this effort, the purpose of this paper is to put forward a versatile methodology for the valuation of goods, particularly the assessment of real state properties. In order to reach this target, we develop the concept of (partial) valuation fuzzy soft set and introduce the novel problem of data filling in partial valuation fuzzy soft sets. The use of fuzzy soft sets allows us to quantify the qualitative attributes involved in an assessment context. As a result, we illustrate the effectiveness and validity of our valuation methodology with a real case study that uses data from the Spanish real estate market. The main contribution of this paper is the implementation of a novel methodology, which allows us to assess a large variety of assets where data are heterogeneous. Our technique permits to avoid the appraiser's subjectivity (exhibited by practitioners in housing valuation) and the well-known disadvantages of some alternative methods (such as linear multiple regression).
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