how to create seperate set of reports run on responsiblity

Hello All,

we have requirement as below.

there are multiple reports in reports group and reports group assigned to particular responsibility and responsibility is assigned to  user.

now there are 5 specific reports, which user want in SRS form. ( submit new request)

is there any way, i can create one function called " run reports" and for that function i can assigned seperate  set of reports under same responsiblity.?

Thanks