Fuzzy-temporal Extension of Classical Logic and its Stability Analysis

摘要

The paper provides a novel scheme for fuzzy temporal extension of prepositional and default logic in order to reason with complex real time systems suffering from imprecision of data and rules. The proposed fuzzy temporal extensions have been represented by fuzzy time-difference state equations. An analysis of stability for the fuzzy temporal state equations has been undertaken in the paper by using Liapunov energy functions. The results of the analysis follow the intuitively derived fixed points of the classical logic. The scope of application of stability analysis of the extended fuzzy logic in random walk problem of a mobile robot has been illustrated.