Since raspberries are shallow rooted, it's very likely that those plants are competing for nutrients and water with the raspberries.
Easiest way to deal with them is to water well or pick a day after good soaking rain and put down several layers of paper or a single layer of corrugated brown cardboard. The paper will smother the ground cover. Leave about 2-4" clear spaces around the stems (you will have to hand weed the spaces (wear gloves).
For paper, I save the Kraft paper and newsprint paper used to cushion packages and use them, but some people do use newspaper. 4-5 sheet layers of newspaper/newsprint paper or 2-3 sheet layers of Kraft paper.
Then pile any kind of mulch on top -- grass clippings, pulled/cut dried weeds, fall leaves, straw, sawdust.... If you mix greens and browns (see compost forum sticky) you will avoid stinky mess from green-only mulch. Again, avoid pushing the mulch up agains the stems.
In fall, rake away the mulch (paper will probably be gone by then) put a layer of compost or manure, and then cover with mulch back up again for the winter.
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