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  1.  12
    Continuous Triangular Norm Based Fuzzy Topology.Dexue Zhang & Gao Zhang - 2019 - Archive for Mathematical Logic 58 (7-8):915-942.
    For each continuous t-norm &, a class of fuzzy topological spaces, called &-topological spaces, is introduced. The motivation stems from the idea that to each many-valued logic there may correspond a theory of many-valued topology, in particular, each continuous t-norm may lead to a theory of fuzzy topology. It is shown that for each continuous t-norm &, the subcategory consisting of &-topological spaces is simultaneously reflective and coreflective in the category of fuzzy topological spaces, hence gives rise to an autonomous (...)
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  2. Fuzzy Galois Connections Categorically.Francisco Javier Gutierrez García, Iraide Mardones Pérez, María Angeles de Prada Vicente & Dexue Zhang - 2010 - Mathematical Logic Quarterly 56 (2):131-147.
     
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    Fuzzy Galois Connections Categorically.Javier Gutiérrez García, Iraide Mardones-Pérez, María Angeles de Prada Vicente & Dexue Zhang - 2010 - Mathematical Logic Quarterly 56 (2):131-147.
    This paper presents a systematic investigation of fuzzy Galois connections in the sense of R. Bělohlávek [1], from the point of view of enriched category theory. The results obtained show that the theory of enriched categories makes it possible to present the theory of fuzzy Galois connections in a succinct way; and more importantly, it provides a useful method to express and to study the link and the difference between the commutative and the non-commutative worlds.
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    Good Fuzzy Preorders on Fuzzy Power Structures.Hongliang Lai & Dexue Zhang - 2010 - Archive for Mathematical Logic 49 (4):469-489.
    This paper deals with good fuzzy preorders on fuzzy power structures. It is shown that a fuzzy preorder R on an algebra ${(X,\mathbb{F})}$ is compatible if and only if it is Hoare good, if and only if it is Smyth good.
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