The present article  discuss  \((\alpha,\beta)\)-generalised fuzzy pre border, \((\alpha,\beta)\)-generalised fuzzy pre-exterior and \((\alpha,\beta)\)-generalised fuzzy pre-frontier in double fuzzy topologies. Furthermore, some characterisations of generalised double fuzzy pre-continuous, generalised double fuzzy preopen, generalised double fuzzy preclosed and generalised double fuzzy preclosure irresolute functions are studied and investigated. Moreover, the interrelations among the new concepts are discussed with some necessary examples.