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Generalizations of the notion of fuzzy hyper K-subalgebras are considered. The concept of fuzzy hyper K-subalgebras of type (α, β) where α, β ∈ {∈, q, ∈∨q, ∈∧q}, and α ≠ ∈∧q. Relations between each types are investigated, and many related properties are discussed. In particular, the notion of (∈, ∈∨q)-fuzzy hyper K-subalgebras is dealt with,and characterizations of (∈, ∈∨q)-fuzzy hyper K-subalgebras are established. Conditions for an (∈, ∈∨q)-fuzzy hyper K-subalgebra to be an (∈, ∈)-fuzzy hyper K-subalgebra are provided. An (∈, ∈∨q)-fuzzy hyper K-subalgebra by using a collection of hyper K-subalgebras is established. Finally the implication-based fuzzy hyper K-subalgebras are discussed.
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참고문헌 (17)
참고문헌 신청
A. Borumand Saeid / 2003 / (Weak) Implicative Hyper K-ideals / 대한수학회보 40 (1) : 123 ~ 137
F. Marty / 1934 / Sur une generalization de la notion de groupe, 8th Congress Math / Scandi- naves, Stockholm : 45 ~ 49
M. S. Ying / 1988 / On standard models of fuzzy modal logics / Fuzzy Sets and Systems 26 (3) : 357 ~ 363
M. S. Ying / 1991 / A new approach for fuzzy topology. I / Fuzzy Sets and Systems 39 (3) : 303 ~ 321
P. M. Pu / 1980 / Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence / J. Math. Anal. Appl 76 (2) : 571 ~ 599
F. Marty / 1934 / Sur une generalization de la notion de groupe, 8th Congress Math / Scandi- naves, Stockholm : 45 ~ 49
M. S. Ying / 1988 / On standard models of fuzzy modal logics / Fuzzy Sets and Systems 26 (3) : 357 ~ 363
M. S. Ying / 1991 / A new approach for fuzzy topology. I / Fuzzy Sets and Systems 39 (3) : 303 ~ 321
P. M. Pu / 1980 / Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence / J. Math. Anal. Appl 76 (2) : 571 ~ 599
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