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On (∈, ∈ ∨ q)-fuzzy filters of R0-algebras

✍ Scribed by Xueling Ma; Jianming Zhan; Young B. Jun

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
196 KB
Volume
55
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

In this paper, we introduce the notions of (∈, ∈ ∨ q)‐fuzzy filters and (∈, ∈ ∨ q)‐fuzzy Boolean (implicative) filters in R~0~‐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 R~0~‐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 R~0~‐algebras (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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