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Title |
Minimization of L-valued Finite Sequential Machine |
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Author |
Chang Shu, Zhi-Wen Mo |
| Citation |
Vol. 12 No. 9 pp. 63-69 |
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Abstract |
We take a finite lattice-ordered monoid as the truth-value domain for fuzzy sequential machines in this paper.The notion of L-valued finite sequential machines(L-FSMs.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 L-FSM,and give an algorithm to compute the image of the behavior mapping for a given L-FSM. Finally, its statewise equivalence relations are defined, based on which we present a minimization algorithm for an L-FSM. |
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Keywords |
Fuzzy finite sequential machine, Lattice-ordered monoid, Equivalence, Minimization. |
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