2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/16813We show that the zeroth law of thermodynamics holds within an alternative version of nonextensive statistical mechanics based on {\it incomplete probability distribution}. The generalized zeroth law leads to a generalized definition of thermodynamic functions which are possible to be used for systems with important nonextensivity (nonadditivity) in energy, volume or other external variables.6 pages, RevTeXStatistical Mechanicstext