Controlled Fuzzy Parallel Rewriting


Asveld, Peter R.J. (1996) Controlled Fuzzy Parallel Rewriting. [Report]

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Abstract:We study a Lindenmayer-like parallel rewriting system to model the growth
of filaments (arrays of cells) in which developmental errors may occur.
In essence this model is the fuzzy analogue of the derivation-controlled
iteration grammar. Under minor assumptions on the family of control
languages and on the family of fuzzy languages in the underlying iteration
grammar, we show that (i) regular control does not provide additional
generating power to the model, (ii) the number of fuzzy substitutions in
the underlying iteration grammar can be reduced to two, and (iii) the
resulting family of fuzzy languages possesses strong closure properties,
viz. it is a full hyper-AFFL, i.e., a hyper-algebraically closed full
Abstract Family of Fuzzy Languages.
Item Type:Report
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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