Title of article :
Quasi-subalgebras of Sheffer stroke BL-algebras associated with fuzzy points and a new type of fuzzy set
Author/Authors :
Jun ، Y.B. Department of Mathematics Education - Gyeongsang National University , Yang ، E. Department of Philosophy - Jeonbuk National University , Hwan Roh ، E. Department of Mathematics Education - Chinju National University of Education
Abstract :
The Jun’s YεJ -fuzzy set is applied to the Sheffer stroke BL-algebra, and the notions of an (∈, ∈)- YεJ -fuzzy quasisubalgebra and an (∈, ∈ ∨q)-YεJ -fuzzy quasi-subalgebra in Sheffer stroke BL-algebras are introduced, and several properties are explored. Characterizations of (∈, ∈)- YεJ - fuzzy quasi-subalgebras and (∈, ∈ ∨q)- YεJ -fuzzy quasisubalgebras are investigated, and the relationships between the fuzzy quasi-subalgebra, the (∈, ∈)- YεJ -fuzzy quasi- subalgebra and the (∈, ∈ ∨q)- YεJ -fuzzy quasisubalgebra are considered. Conditions for a fuzzy set to be an (∈, ∈∨q)- YεJ -fuzzy quasi-subalgebra are displayed.
Keywords :
Quasi , subalgebra , Y , level set , Yq , set , Y∈∨q , set , (∈ , ∈) , Y ε J , fuzzy quasi , subalgebra , (∈ , ∈ ∨q) , Y ε J , fuzzy quasisubalgebra
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
Journal title :
Journal of Algebraic Hyperstructures and Logical Algebras
