For example, people in my community are mostly known by their family name, and not by individual's name. Family name alone is used as far as possible. My grandpa never liked to be called by his own name.
The idea is, as long as there is someone to carry the family name, individuals should not matter.
The "individual" is short-hand for negative freedoms, and from this you can derive many of the same values as the "community" types want.
For example, you can say that carbon pollution is an infringement of an individual's negative freedoms. You can also say that it's bad for society's functioning and public health. This is one example where the lens of the individual and community give the same result.
Typically these two words point to different resolutions of analysis, one concerned with a unit of analysis that can be more easily understood and more credibly ascribed rights (the single suffering human), the other concerned with the global system dynamics where the analysis is more difficult but can also reveal some emergent phenomena (sociology, economics).