Fullér, Mezei and Várlaki defined the f-weighted possibilistic correlation coefficient as a new measure of interactivity of fuzzy numbers, which can be determined from the joint possibility distribution. At the end of their paper they formulated problems in connection with the lower limit of the f-weighted possibilistic correlation coefficient, if we know only the marginal distributions. In this paper we will discuss these problems. © 2010 Elsevier B.V. All rights reserved.