Authors: Borchardt, Björn
Maletti, Andreas
Šešelja, Branimir
Tepavčević, Andreja 
Vogler, Heiko
Title: Cut sets as recognizable tree languages
Journal: Fuzzy Sets and Systems
Volume: 157
Issue: 11
First page: 1560
Last page: 1571
Issue Date: 1-Jun-2006
Rank: M21
ISSN: 0165-0114
DOI: 10.1016/j.fss.2005.11.004
A tree series over a semiring with partially ordered carrier set can be considered as a fuzzy set. We investigate conditions under which it can also be understood as a fuzzified recognizable tree language. In this sense, sufficient conditions are presented which, when imposed, ensure that every cut set, i.e., the pre-image of a prime filter of the carrier set, is a recognizable tree language. Moreover, such conditions are also presented for cut sets of recognizable tree series.
Publisher: Elsevier
Project: German Research Foundation (DFG, GK 334/3)
Serbian Ministry of Science, Grant number 1227

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