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首页> 外文期刊>International journal of mathematics and analysis >REDEFINED FUZZY B-ALGEBRAS
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REDEFINED FUZZY B-ALGEBRAS

机译：REDEFINED FUZZY B-ALGEBRAS

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Using the belongs to relation (∈) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (a, β)-fuzzy B-algebras where α and β are any two of {∈ , q, ∈ ∨ q, ∈ ∧} with α ≠ ∈ ∧ q is introduced, and related properties are investigated. We give a condition for an (∈ , ∈ ∨ q)-fuzzy B-algebra to be an (∈ , ∈ )-fuzzy B-algebra. We provide characterizations of an (∈ , ∈ ∨ q)-fuzzy B-algebra. We show that a proper (∈ , ∈ )-fuzzy B-algebra A of X with additional conditions can be expressed as the union of two proper non-equivalent (∈ , ∈ )-fuzzy B-algebras of X. We also prove that if A is a proper (∈ , ∈ ∨ q)-fuzzy B-algebra of a B-algebra X such that # {A(x)| A(x) < 0.5} ≥ 2；then there exist two proper non-equivalent (∈ , ∈ ∨ q)-fuzzy B-algebras of X such that A can be expressed as the union of them.

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