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Title

Minimization of Lvalued Finite Sequential Machine

Author

Chang Shu, ZhiWen Mo

Citation 
Vol. 12 No. 9 pp. 6369

Abstract

We take a finite latticeordered monoid as the truthvalue domain for fuzzy sequential machines in this paper.The notion of Lvalued finite sequential machines(LFSMs.for short)occurring in [1]is modified and some related properties are also discussed.Moreover,we formulate the definition of behavior mapping to determine the operation of an LFSM,and give an algorithm to compute the image of the behavior mapping for a given LFSM. Finally, its statewise equivalence relations are defined, based on which we present a minimization algorithm for an LFSM.

Keywords

Fuzzy finite sequential machine, Latticeordered monoid, Equivalence, Minimization.

URL

http://paper.ijcsns.org/07_book/201209/20120910.pdf

