'vaguely-set' originates from the combination of 'vaguely' and 'set', where 'vaguely' means 'in a way that is not clear' and 'set' means 'to establish or fix'.

'vaguely' comes from the Latin word 'vagus', meaning 'wandering', and 'set' comes from the Old English 'settan', meaning 'to place'.

Initially, 'vaguely' meant 'wandering or uncertain', and 'set' meant 'to place or fix'. Together, they evolved to mean 'not clearly defined or established'.