@article {IOPORT.05919320,
    author       = {Kim, Eun Seok and Ahn, Seung-Ho and Park, Dae Heui},
    title        = {L-fuzzy topological spaces and L-fuzzy quasi-proximity spaces.},
    year         = {2011},
    journal      = {Honam Mathematical Journal},
    volume       = {33},
    number       = {1},
    issn         = {1225-293X},
    pages        = {27-41},
    publisher    = {The Honam Mathematical Society, Gwangju},
    doi          = {10.5831/HMJ.2011.33.1.027},
    abstract     = {The manuscript considers different aspects of the theory of $L$-fuzzy topological spaces in the sense of U.~H\"{o}hle, T.~Kubiak and A.~\v{S}ostak. The main result of the paper (Theorem~30) says that the category of $L$-fuzzy co-topological spaces is isomorphic to a full bicoreflective subcategory of the category of $L$-fuzzy quasi-proximity spaces in the sense of {\it Y.~Yue} and {\it F.-G.~Shi} [Fuzzy Sets Syst. 158, No.~4, 386--398 (2007; Zbl 1116.54005)]. The authors also establish a one-to-one correspondence between equivalence relations and S-proximities (in the sense of {\it E.~F.~Steiner} [Math. Ann. 155, 194--195 (1964; Zbl 0117.39801)]) on a given set, as well as mention a relationship between the latter and rough sets of Z.~Pawlak, the precise nature of which, however, is left unclarified. The paper is not sufficiently well written, containing a lot of typos (e.g., in the very first line of Section~1, ``1936" should be ``1951" and ``Efremovi" should be ``Efremovi\v{c}"), not always correct definitions (especially w.r.t. category theory) and several notions, which are not used in the subsequent developments (e.g., the stuff on quasi-uniformities). Moreover, the proofs of the main claims of the manuscript are quite vague and do not always lead to the desired statements.},
    reviewer     = {Sergejs Solovjovs (Riga)},
    identifier   = {05919320},
}