@article {IOPORT.06041964,
    author       = {Hao, Jiaxing and Wu, Hongbo},
    title        = {Fuzzy ideals and fuzzy implicative ideals of regular residuated lattices.},
    year         = {2011},
    journal      = {Fuzzy Systems and Mathematics},
    volume       = {25},
    number       = {4},
    issn         = {1001-7402},
    pages        = {8-17},
    publisher    = {National University of Defense Technology, Hunan; China National Publishing Industry Trading Corporation, Beijing},
    abstract     = {Summary: The structure of regular residuated lattices is further studied. With the help of the ideas and methods of fuzzy mathematics, the notions of fuzzy ideals and fuzzy implicative ideals are introduced by the $\oplus$-operator and the $\ominus$-operator on regular residuated lattices and some related properties of them are investigated. The main results of this paper are: (1) several equivalent characterizations for fuzzy ideals and fuzzy implicative ideals are given; (2) it is proved that fuzzy implicative ideals must be fuzzy ideals, but the converse does not hold; (3) it is proved that the set of all the fuzzy ideals in regular residuated lattices forms a complete distribution lattice in terms of the given operations.},
    identifier   = {06041964},
}