
doi: 10.1007/10983652_3
handle: 11588/458956 , 2434/24322
We present and discuss some novel and somewhat surprising complexity results for a basic but significant fuzzy description logic (DL) which extends the classical $\mathcal{ALC}$ language. In particular we show that checking the consistency of a concept or a KB in fuzzy DLs has a complexity which jumps from linear-time to EXPTIME-complete, while the subsumption problem is always (at least) as hard as in crisp DLs.
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