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(α,β)-Fuzzy Ideals of BCH-Algebras

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1 Author(s)
Jiayin Peng ; Infor Key Lab. of Numerical Simulation of Sichuan Province, Neijiang, China

In this paper by two relations belonging to ϵ and quasi-coincidence (q) between fuzzy points and fuzzy sets, the notions of (α,β)-fuzzy ideals of BCH-algebras and the level ideal of (α,β)-fuzzy ideals of BCH-algebras are introduced where α,β are any two of {ϵ, q, ϵ ν q, ϵ ∧ q} with α ≠ ϵ ∧ q. Then we state and prove theorems discussed in (α,β)-fuzzy ideals and their level ideals of BCH-algebras. How the homomorphic inverse image of (α,β)-fuzzy ideals becomes (α,β)-fuzzy ideals are studied.

Published in:

Computer Science-Technology and Applications, 2009. IFCSTA '09. International Forum on  (Volume:3 )

Date of Conference:

25-27 Dec. 2009