Abstract
Classical description logics are limited to dealing with crisp concepts and crisp roles. However, Web applications based on description logics should allow the treatment of the inherent imprecision. Therefore, it is necessary to add fuzzy features to description logics. A family of extended fuzzy description logics, which is a fuzzy extension of description logics by introducing cut set to describe fuzzy feature, is proposed to enable representation and reasoning for complex fuzzy information. This paper discusses the reasoning technique for reasoning tasks of a given extended fuzzy description logic extended fuzzy \(\cal {ALCQ}\) by adopting classical description logic \(\cal{ALCQ}\) to discretely simulate extended fuzzy \(\cal{ALCQ}\) in polynomial time and reusing the existing result to prove the complexity of extended fuzzy \(\cal{ALCQ}\) reasoning tasks.
This work was supported in part by the NSFC (60373066, 60425206 and 90412003), National Grand Fundamental Research 973 Program of China (2002CB312000), National Research Foundation for the Doctoral Program of Higher Education of China (20020286004), Excellent Ph.D. Thesis Fund of Southeast University, Advanced Armament Research Project (51406020105JB8103) and Advanced Research Fund of Southeast University (XJ0609233)
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Li, Y., Xu, B., Lu, J., Kang, D. (2006). Reasoning Technique for Extended Fuzzy \(\cal{ALCQ}\) . In: Gavrilova, M.L., et al. Computational Science and Its Applications - ICCSA 2006. ICCSA 2006. Lecture Notes in Computer Science, vol 3981. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11751588_125
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DOI: https://doi.org/10.1007/11751588_125
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