The aim of this paper is to analyse linear production with committee control situations arising when controllers face the possibility of graduating their options. In order to model these situations, we consider several kinds of fuzzy controls, which can be modelled as different simple fuzzy games. An LP-game which is an extension of LP-games with committee control introduced in Curiel et al. [on balanced games and games with committee control, OR Spectrum 11 (1989) 83–88] is obtained and its core is studied.