Open problems posed at the Tenth International Conference on Fuzzy Set Theory and Applications (FSTA 2010, Liptovský Ján, Slovakia)

A public announcement of open problems had a great impact on the development of several areas of science, including mathematics. It seems so that the most famous was the formulation of D. Hilbert’s problems [28]. In the domain of fuzzy sets and related topics, several open problems were published in monographs [9, 40, 47, 58]. There are several papers devoted purely to open problems in triangular norms [3, 42]. Other collections of open problems are linked to problems posed at conferences; recall for example the collections summarizing the open problems posed at the 2nd and 8th FSTA conference [39, 46]. To illustrate the influence of these collections to the development of mathematics, observe that just within the field of fuzzy sets there are more than 20 papers devoted to the solution of some of the exposed problems. The aim of this paper is the presentation of open problems posed during the conference FSTA 2010 “Tenth International Conference on Fuzzy Set Theory and Applications” held from February 1 to February 5, 2010 in Liptovský Ján, Slovakia.