id: 06026842
dt: j
an: 06026842
au: He, Pengfei; Xin, Xiaolong
ti: Fuzzy hyperlattices.
so: Comput. Math. Appl. 62, No. 12, 4682-4690 (2011).
py: 2011
pu: Elsevier Science Ltd. (Pergamon), Oxford
la: EN
cc: 
ut: hyperlattice; fuzzy hyperlattice; homomorphism; hypercongruence; fuzzy
    (strong) hypercongruence
ci: 
li: doi:10.1016/j.camwa.2011.10.059
ab: Summary: We introduce the notion of fuzzy hyperlattices and establish
    connections between fuzzy hyperlattices and hyperlattices. Then we
    discuss the relations between the weak homomorphism of fuzzy
    hyperlattices and the weak homomorphism of corresponding hyperlattices.
    Moreover, we define and analyze the hypercongruence on hyperlattices
    and the fuzzy (strong) hypercongruence on fuzzy hyperlattices. And we
    study the interrelation between the (fuzzy) hypercongruence on (fuzzy)
    hyperlattices and the homomorphism of (fuzzy) hyperlattices. Also, a
    relation between the fuzzy hypercongruence on fuzzy hyperlattices and
    the hypercongruence on corresponding hyperlattices is obtained.
    Finally, we apply the hypercongruence and the fuzzy strong
    hypercongruence to construct quotient structures of hyperlattices and
    fuzzy hyperlattices, respectively.
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