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Fuzzy Answer Set Programming is a framework that combines Answer Set Programming with Fuzzy Logic successfully,it can deal with uncertainty and imprecise information,so improving the expresiveness of answer set programming; Answer Set Optimization programming combines ASP with qualitative optimization techniques,solving a variety of practical problems with preference. However, in the fuzzy case,how to figure out the solution that satisfying users requirment? Research on this issue is not much. So,in this paper,we learn from FASP and ASO, combine FASP with qualitative optimization techniques,introduce FASP with preference, give a method of fuzzy answer set optimization,It can figure out the solution that satisfying users' requirment simply.
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