京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第18041号 / 理博第3919号 / 新制||理||1566(附属図書館) / 30899 / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)准教授 西村 進, 教授 加藤 毅, 教授 長谷川 真人 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

Fuzzy description logics (FDLs) are knowledge representation formalisms capable of dealing with imprecise knowledge by allowing intermediate membership degrees in the interpretation of concepts and roles. One option for dealing with these intermediate degrees is to use the so-called Gödel semantics. Despite its apparent simplicity, developing reasoning techniques for expressive FDLs under this semantics is a hard task. We present a tableau algorithm for deciding consistency of a SROIQ ontology under Gödel semantics. This is the first algorithm that can handle the full expressivity of SROIQ as well as the full Gödel semantics.