A family of Extended Fuzzy Description Logics

Authors:
Jian-Jiang Lu;Bao-Wen Xu;Yan-Hui Li;Da-Zhou Kang
Affiliations:
Institute of Command Automation, PLA University of Science and Technology, Nanjing 210007, China.;Department of Computer Science and Engineering, Southeast University, Nanjing 210096, China.;Department of Computer Science and Engineering, Southeast University, Nanjing 210096, China.;Department of Computer Science and Engineering, Southeast University, Nanjing 210096, China
Venue:
International Journal of Business Intelligence and Data Mining
Year:
2006

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Abstract

Typical 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 uncertainty. Extended Fuzzy Description Logics (EFDLs), which adopt a special fuzzify-method with more expressive power than the previous fuzzy description logics, are proposed to enable representation and reasoning for complex fuzzy information. They introduce the cut sets of fuzzy concepts and fuzzy roles as atomic concepts and atomic roles, and inherit the concept and role constructors from description logics. The definitions of syntax, semantics, reasoning tasks, reasoning properties, and reasoning algorithm are given for the extended fuzzy description logic.