Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391432 | Fuzzy Sets and Systems | 2006 | 12 Pages |
Abstract
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.
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