Retrieve Name Attribute From Certain Elements With Specific Class

I am currently attempting to write a function that retrieves the name attribute from a list of items with a specific class name. To illustrate:
Code:
Show types of food:
<input type="radio" name="food" id="fruit" onclick="setVisibility('fruit')"/>
<label for="fruit">Fruit</label>
<input type="radio" name="food" id="vegetable" onclick="setVisibility('vegetable')"/>
<label for="vegetable">Vegetables</label>

<li class="art" name="fruit">pear</li>
<li class="art" name="vegetable">celery</li>
<li class="food" name="fruit">banana</li>
<li class="food" name="fruit">grapes</li>
<li class="food" name="fruit">orange</li>
<li class="art" name="fruit">grapes</li>
<li class="food" name="vegetable">lettuce</li>
<li class="food" name="fruit">apple</li>
<li class="food" name="vegetable">spinach</li>
<li class="food" name="vegetable">cabbage</li>

I would like create a function called setVisibility to iterate through all the list items where class=food and return the value of the name, so that I can compare that to the radio box, and set visibility accordingly.