A fuzzy temporal algebra is defined for solving qualitativeinterval constraint problems as formulated by Allen (1983) and appliedin temporal reasoning for applications such as planning. The problemdefinition is expanded as possibilities temporal reasoning to allowexploitation a partial or indefinite information. The constraints arebinary relations on intervals and consist a sums of thirteen atomicrelations (precedes, during, meets, etc.). Fuzzy operations ofcomposition, union, and intersection are defined, and Allen's pathconsistency (3-consistency or triangle operation) algorithm forconstraint propagation is generalized
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