Mathematical Logic Quarterly 55 (5):493-508 (2009)

Abstract
In this paper, we introduce the notions of -fuzzy filters and -fuzzy Boolean filters in R0-algebras and investigate some of their related properties. Some characterization theorems of these generalized fuzzy filters are derived. In particular, we prove that a fuzzy set in R0-algebras is an -fuzzy Boolean filter if and only if it is an -fuzzy implicative filter. Finally, we consider the concepts of implication-based fuzzy Boolean filters of R0-algebras
Keywords Boolean (implicative) filter, (∈, ∈ ∨ q)‐fuzzy Boolean (implicative) filter, ($ \bar \isin $, $ \bar \isin $ ∨ $ \bar q $)‐fuzzy Boolean (implicative) filter, implication‐based fuzzy Boolean (implicative) filter, R0‐algebra
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DOI 10.1002/malq.200810022
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References found in this work BETA

Fuzzy Sets.Lofti A. Zadeh - 1965 - Information and Control 8 (1):338--53.
Boolean Deductive Systems of BL-Algebras.Esko Turunen - 2001 - Archive for Mathematical Logic 40 (6):467-473.

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