Aquaponics is the combination of agriculture in the sense that you are raising aquatic animals such as tilapia and hydroponics (growing edible plants with water).
This image is from Aquaponic Gardening by Sylvie Bernstein.
Some types of edible plants includes all leafy lettuce, kale, basil, tomatoes, herbs, peppers, cucumbers, beets, carrots, green onions, beans, peas and broccoli.
Some benefits of aquaponics includes no weeding, no soil pests, no watering, plants grow faster, less energy, little to no chemicals, natural fertilizer from fish waste, hormone free fish and saves space. While many people grow tilapia, you can also grow trout, catfish, bass, and crustaceans. Below is a video of a commercial aquaponics farm.