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Some types of filters in BL algebras. (English) Zbl 1103.03062

Soft Comput. 10, No. 8, 657-664 (2006); erratum ibid. 11, No. 2, 209 (2007).
Summary: In this paper we introduce some types of filters in a BL algebra \(A\), and we state and prove some theorems which determine the relationship between these notions and other filters of a BL algebra, and by some examples we show that these notions are different. Also we consider some relations between these filters and quotient algebras that are constructed via these filters.

MSC:

03G25 Other algebras related to logic
03B52 Fuzzy logic; logic of vagueness
06D35 MV-algebras
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References:

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