Fuzzy Time Intervals System Description of the FuTILibrary Hans J - PowerPoint PPT Presentation

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Fuzzy Time Intervals System Description of the FuTILibrary Hans J urgen Ohlbach (Edgar Stoffel) Inst. f ur Informatik, LMU Munich H.J. Ohlbach (E. Stoffel) (LMU) FuTI 1 / 7 Background: The CTTN System CTTN: Computational

Fuzzy Time Intervals – System Description of the FuTI–Library Hans J¨ urgen Ohlbach (Edgar Stoffel) Inst. f¨ ur Informatik, LMU Munich H.J. Ohlbach (E. Stoffel) (LMU) FuTI 1 / 7
Background: The CTTN System CTTN: Computational Treatment of Temporal Notions A WG A1 project. Components: time points and crisp and fuzzy temporal intervals (the FuTI library) periodic temporal notions (the PartLib library) the GeoTemporal Specification language (GeTS) calendars and various support modules H.J. Ohlbach (E. Stoffel) (LMU) FuTI 2 / 7
Fuzzy Time Intervals: An Example ✻ 1 ✲ 0 R 6pm 7pm 10pm 12pm 2am 3am Party Time H.J. Ohlbach (E. Stoffel) (LMU) FuTI 3 / 7
Set Operations ✻ ✻ 1 1 ✲ ✲ 0 0 R R 6 8 Hamacher Intersection and λ -Complement for λ = 2 Union ✻ 1 Kleene I J Lukasiewicz Goedel ✲ 0 R Set Difference I \ J H.J. Ohlbach (E. Stoffel) (LMU) FuTI 4 / 7
Relations ✻ 1 ✲ 0 R 0 10 Fuzzy Point–Interval Relation ✻ 1 I J ✲ 0 R Interval-Interval Before Relation H.J. Ohlbach (E. Stoffel) (LMU) FuTI 5 / 7
The Class Hierarchy FuTI::FuTITop FuTI::Interval FuTI::Operation FuTI::Point FuTI::YFunction FuTI::BinaryYFunction FuTI::UnaryYFunction FuTI::SDGoedel FuTI::SDKleene FuTI::SDLukasiewicz FuTI::TCoNorm FuTI::TNorm FuTI::NegationYFunction FuTI::HamacherCoNorm FuTI::HamacherNorm FuTI::lambdaComplement H.J. Ohlbach (E. Stoffel) (LMU) FuTI 6 / 7
URL http://www.pms.ifi.lmu.de/CTTN/FuTI/index.html H.J. Ohlbach (E. Stoffel) (LMU) FuTI 7 / 7

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