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\((\in,\in\vee q)\)-bipolar fuzzy BCK/BCI-algebras. (English) Zbl 1397.06029
Properties of \((\in,\in\vee q)\)-bipolar fuzzy subalgebras and \((\in,\in\vee q)\)-bipolar fuzzy ideals of BCI-algebras are described by the corresponding level subalgebras and level ideals. A part of the results is a consequence of the transfer principle for fuzzy sets described in [M. Kondo and the reviewer, Mathware Soft Comput. 12, No. 1, 41–55 (2005; Zbl 1081.03054)].

06F35 BCK-algebras, BCI-algebras
03G25 Other algebras related to logic
Full Text: Euclid
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