Hyper K-subalgebras based on fuzzy points
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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.
Abstract
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.
참고문헌 (17)
- S. K. Bhakat, "On the denition of a fuzzy subgroup", Fuzzy Sets and Systems, 51(2), pp.235~241 (1992)
- S. K. Bhakat, "(2;2 _q)-fuzzy subgroup", Fuzzy Sets and Systems, 80(3), pp.359~368 (1996)
- A. Borumand Saeid, "(Weak) Implicative Hyper K-ideals", 대한수학회보, 40(1), pp.123~137 (2003), 대한수학회
- R. A. Borzooei, "Hyper BCK and K-algebras", 박사, pp.2000
- R. A. Borzooei, "On hyper K-algebras", Math. Japon, 52, pp.113~121 (2000)
- Y. B. Jun, "On fuzzy hyper K-subalgebras of hyper K-algebras", Sci. Math, 3(1), pp.67~75 (2000)
- 전영배, "On $(\alpha, \beta)$-fuzzy subalgebras of $BCK", BCI$-algebras, 2005, pp.42(4), 703~711[DOI]
- Young Bae Jun, "Fuzzy Subalgebras of Type (α, β) in BCK", BCI-Algebras, 2007, pp.47(3), 403~410[DOI]
- Y. B. Jun, "Fuzzy positive implicative hyper K-ideals in hyper K- algebras", Honam Math. J, 25(1), pp.43~52 (2003)
- Y. B. Jun, "Fuzzy hyper K-ideals of hyper K-algebras", J. Fuzzy Math, 12(4), pp.861~871 (2004)
- Y. B. Jun, "Generalized fuzzy interior ideals in semigroups", Inform. Sci, 176(20), pp.3079~3093 (2006)
- Y. B. Jun, "On hyper BCK-algebras", Ital. J. Pure Appl. Math, (8), pp.127~ (2000)
- F. Marty, "Sur une generalization de la notion de groupe, 8th Congress Math", Scandi- naves, Stockholm, pp.45~49 (1934)
- V. Murali, "Fuzzy points of equivalent fuzzy subsets", Inform. Sci, 158, pp.277~288 (2004)
- P. M. Pu, "Fuzzy topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence", J. Math. Anal. Appl, 76(2), pp.571~599 (1980)
- M. S. Ying, "A new approach for fuzzy topology. I", Fuzzy Sets and Systems, 39(3), pp.303~321 (1991)
- M. S. Ying, "On standard models of fuzzy modal logics", Fuzzy Sets and Systems, 26(3), pp.357~363 (1988)