NEW DIRECTION IN FUZZY TREE AUTOMATA

Document Type : Research Paper

Authors

1 Department of Mathematics, Science Faculty, Alzahra University, Vanak, Tehran, Iran

2 Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

3 College of Sciences, Tehran University, P.O. Box 14155-6455, Tehran, Iran

Abstract

In this paper, our focus of attention is the proper propagation
of fuzzy degrees in determinization of $Nondeterministic$ $Fuzzy$
$Finite$ $Tree$ $Automata$ (NFFTA). Initially, two determinization
methods are introduced which have some limitations (one in
behavior preserving and other in type of fuzzy operations). In
order to eliminate these limitations and increasing the
efficiency of FFTA, we define the notion of fuzzy complex state
and $Complex$ $FFTA$ (CFFTA). Also, we define
$\nabla$-normalization operation in algebra of fuzzy complex
state to solve the multi membership state problem in fuzzy
automata. Furthermore, we discuss the relationship between FFTA
and CFFTA. Finally, determinization of CFFTA is presented.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 8, Issue 5 - Serial Number 5
September and October 2011
Pages 59-68

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