On (∈, ∈ ∨ q)‐fuzzy filters of R0‐algebras |
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| Authors: | Xueling Ma Jianming Zhan Young B Jun |
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| Institution: | 1. Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, 445000, China;2. Department of Mathematics Education, Gyeongsang National University, Chinju 660‐701, Korea |
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| Abstract: | In this paper, we introduce the notions of (∈, ∈ ∨ q)‐fuzzy filters and (∈, ∈ ∨ q)‐fuzzy Boolean (implicative) 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 (∈, ∈ ∨ q)‐fuzzy Boolean filter if and only if it is an (∈, ∈ ∨ q)‐fuzzy implicative filter. Finally, we consider the concepts of implication‐based fuzzy Boolean (implicative) filters of R0‐algebras (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| 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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