Fuzzy Time Intervals System Description of the FuTI-Library
نویسنده
چکیده
The FuTI–library is a collection of classes and methods for representing and manipulating fuzzy time intervals. Fuzzy time intervals are represented as polygons over integer coordinates. FuTI is an open source C++ library with many advances operations and highly optimised algorithms. Version 1.0 is now available from the URL http://www.pms.ifi.lmu.de/CTTN/FuTI. 1 Fuzzy Time Intervals Fuzzy Intervals are usually defined through their membership functions. A membership function maps a base set to a real number between 0 and 1. This “fuzzy value” denotes a kind of degree of membership to a fuzzy set S. The base set for fuzzy time intervals is the time axis. In FuTI it is represented by the set R of real numbers. Real numbers allow us to model the continuous time flow which we perceive in our life. A fuzzy time interval in FuTI is now a fuzzy subset of the real numbers. A typical fuzzy interval may look like:
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