Term or phrase that encompasses both top-down and bottom-up
Solution 1:
Think about what these expressions mean. ‘Top down’ has innovation and change decided by the leadership and passed down for implementation. ‘bottom up’ has the process of identification coming from the ‘shop floor’. There is nothing (linguistically) in between.
There is a term, ‘360 degree’ (usually used of evaluation and appraisal) which might fit your bill. It does covey the idea of using ideas from the organisation at all levels.
On the other hand, ‘bottom up’ does not really mean that managements waits idly by to find out what the shop floor thinks. Managers too. have ideas of their own. So you could argue that ‘bottom up’ will do fine.