One of the most popular aspects of Fudge is its resolution system, which famously employs an adjective-based trait ladder and Fudge dice. Fudge dice are not always easily obtainable, however, so what are the alternatives?* The rules offer several methods using more conventional dice, but they lack the charm and efficiency of Fudge dice. The challenge as I see it is to invent a method that preserves the simplicity and elegance of Fudge dice using something more commonly available.
The solution I hit upon is Poker chips. Simply designate a different color for each Fudge die face, such as blue for plus, white for blank, and red for minus; place one chip of each color in as many bags as the number of Fudge dice to be "rolled" (e.g. one chip of each color in four bags to simulate a 4dF roll); and draw one chip from each bag blindly. The chips drawn represent your roll. Return the chips to their respective bags and mix well before drawing again.
For example, if I were to draw two blue chips, a white chip, and a red chip, it would read as + + 0 -, which would be a result of +1.
If you prefer, use wooden nickels or Scrabble tiles instead. You can draw or paint the plus and minus symbols on them, thus eliminating the need to remember which color represents which symbol. (You could also draw the symbols on small adhesive labels and affix them to the tiles if you want to preserve them for your Scrabble game.)
For reference, we'll call them Fudge disks.
Even if you own Fudge dice, Fudge disks can be a fun and handy alternative. They could be used when rolling dice is awkward (as when hiking or riding in a vehicle) or too distracting to others (as in a waiting room or a restaurant). They could even contribute to the atmosphere of certain gaming genres. I shall leave it to your imagination to determine their best use.
* If you can't find Fudge dice at your favorite local game shop, they can be ordered direct from Grey Ghost Press, Inc. You can also advise your game shop that they can be ordered through Impressions Advertising.
[Edit: Corrected on 2018-08-22. Fudge disks are perhaps not as handy as I first envisioned in the single bag version, but they might still be fun to use occasionally.]