The work is focused on the application of possibility theory to property appraisal. Usually appraiser is used to find a ìmost probable selling priceî of the property to be estimated in an uncertain environment. In other sciences uncertain information have been analyzed in different ways. Starting from the possibility theory (L.Zadeh, 1978) it is possible to deal with property market data reaching, in some contexts, different conclusions. The work is organized as follow: after an introduction, the first paragraph will analyze a brief profile of fuzzy sets ant theory of possibility. In the second paragraph the attention will be concerned about the comparison between most probable selling price and ìmost possible selling priceî. A final paragraph will offer final remarks and future directions of research.