Dexue Zhang

Email: dxzhang<<at>>



1999.7 –  : School of Mathematics, Sichuan University, Professor

1994.1 – 1999.6: Department of Mathematics, Sichuan University, Associate Professor

1993.4 – 1993.12: Department of Mathematics, Sichuan University, Lecturer



1987.9 – 1993.3: Department of Mathematics, Sichuan University, Ph.D. Supervisor: Professor Yingming Liu.

1983.9 – 1987.6: Department of Mathematics, Sichuan University, B.Sc.



Research interests:

Fuzzy topology, Fuzzy order, Categorical topology



W. Li and D. Zhang. Sober metric approach spaces. arXiv:1607.03208, 2016.


Selected publications:

W. Li, H. Lai and D. Zhang. Yoneda completeness and flat completeness of ordered fuzzy sets. Fuzzy Sets and Systems, 2016

Z. Shen, D. Zhang, Symmetric difference operators on fuzzy sets, Fuzzy Sets and Systems, 2015.

L. Shen, Y. Tao and D. Zhang. Chu connections and back diagonals between Q-distributors, Journal of Pure and Applied Algebra 220 (2016) 1858-1901.

Y. Chai, D. Zhang, A representation of fuzzy numbers, Fuzzy Sets and Systems 295 (2016) 1-18.

H. Lai, D. Zhang, Closedness of the category of liminf complete fuzzy orders, Fuzzy Sets and Systems 282 (2016) 86-98.

Q. Pu, D. Zhang, Categories enriched over a quantaloid: Algebras, Theory and Applications of Categories 30 (2015) 751-774.

W. Li, D. Zhang, Continuous generalized partial metric spaces, Journal of Sichuan University (Natural Science Edition) 52 (2015) 703-709.

Y. Tao, H. Lai, D. Zhang, Quantale-valued preorders: globalization and cocompleteness, Fuzzy Sets and Systems 256 (2014) 236-251.

Z. Shen, D. Zhang, A note on the continuity of triangular norms, Fuzzy Sets and Systems 252 (2014) 35-38.

L. Shen and D. Zhang. Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Theory and Applications of Categories, 28 (2013) 577-615.

L. Shen, D. Zhang, The concept lattice functors, International Journal of Approximate Reasoning 54 (2013) 166-183.

L. Shen, D. Zhang, Formal concept analysis on fuzzy sets, in: Witold Pedrycz, Marek Reformat (Eds.), Proceedings of the IFSA World Congress and NAFIPS Annual Meeting, 2013 Joint, IEEE Conference Publications, 2013, 215-219. 

Q. Pu, D. Zhang, Preordered sets valued in a GL-monoid, Fuzzy Sets and Systems 187 (2012) 1-32.

P. Chen, H. Lai, D. Zhang, Coreflective hull of finite strong L-topological spaces, Fuzzy Sets and Systems 182 (2011) 79–92.

D. Zhang, Implication structures, fuzzy subsets, and enriched categories, Fuzzy Sets and Systems 161 (2010) 1205-1223.

J. Gutierrez Garcia, I. Mardones-Perez, M.A. de Prada Vicente, D. Zhang, Fuzzy Galois connections categorically, Mathematical Logic Quarterly 56 (2010) 131-147.

H. Lai, D. Zhang, Good fuzzy preorders on fuzzy power structures, Archive Mathematical Logic 49 (2010) 469-489.

P. Chen, D. Zhang, Alexandroff L-co-topological spaces, Fuzzy Sets and Systems 161 (2010) 2505-2514.

L. Li, D. Zhang, On the relationship between limit spaces, many valued topological spaces, and many valued preorders, Fuzzy Sets and Systems 160 (2009) 204-1217.

H. Lai, D. Zhang, Concept lattices of fuzzy contexts: formal concept analysis vs. rough set theory, International Journal of Approximate Reasoning 50 (2009) 695-707.

H. Zhao, D. Zhang, Many valued lattices and their representations, Fuzzy Sets and Systems 159 (2008) 81-94.

D. Zhang, Uniform environments as a general framework for metrics and uniformities, Fuzzy Sets and Systems 159 (2008) 559-572.

C. Fang, D. Zhang, On the change-base issue of Ω-categories, Chinese Ann. Math. Ser. B 29 (2008) 341-352.

D. Zhang, An enriched category approach to many valued topology, Fuzzy Sets and Systems 158 (2007) 349-366.

H. Lai, D. Zhang, Complete and directed complete Ω-categories, Theoretical Computer Science 388 (2007) 1–25.

H. Lai, D. Zhang, Fuzzy preorder and fuzzy topology, Fuzzy Sets and Systems 157 (2006) 1865-1885.

D. Zhang, Galois connections between categories of L-topological spaces, Fuzzy Sets and Systems 152 (2005) 385-394.

H. Lai, D. Zhang, On the embedding of Top in the category of stratified L-topological spaces, Chin. Ann. Math. Ser. B. 26 (2005) 219-228.

D. Zhang, Triangular norms on partially ordered sets, Fuzzy Sets and Systems 153 (2005) 195-209.

D. Zhang, Simultaneously reflective and coreflective full subconstructs of stratified L-topological spaces are concretely reflective and coreflective, Fuzzy Sets and Systems 144 (2004) 403-409.

D. Zhang, A comparison of various uniformities in fuzzy topology, Fuzzy Sets and Systems 140 (2003) 399-422.

D. Zhang, Meet continuous lattices, limit spaces and L-topological spaces, Fuzzy Sets and Systems 140 (2003) 479-487.

S. Li, D. Zhang, A non-topologically generated Hutton-Lowen uniformizable fuzzy topological space, Quaest. Math. 26 (2003) 471-477.

D. Zhang, Y. Li, Sober topological molecular lattices, Northeast J. Math. 19 (2003) 254-258.

Y. Li, D. Zhang, Injective topological molecular lattices, Acta. Math. Sinica 46 (2003) 1025-1030.

D. Zhang, On the reflectivity and coreflectivity of L-fuzzifying topological spaces in L-topological spaces, Acta. Math. Sinica, English Series, 18 (2002) 55-68.

D. Zhang, Stratified Hutton uniform spaces, Fuzzy Sets and Systems 131 (2002) 337-346.

D. Zhang, On the relationship between several basic categories in fuzzy topology, Quaest. Math. 25 (2002) 289-301.

D. Zhang, L-fuzzifying topologies as L-topologies, Fuzzy Sets and Systems 125 (2002) 135-144.

Y. Liu, D. Zhang, A note on exponential Lowen spaces, Chinese J. Contemp. Math. 23 (2002) 21-28.

D. Zhang, A natural topology for fuzzy numbers, J. Math. Anal. Appl. 264 (2001) 344-353.

H. Herrlich, D. Zhang, Is the construct of L-topological spaces a co-tower extension of some simpler construct? Quaest. Math. 24 (2001) 147-155.

D. Zhang, Tower extension of topological constructs, Comment. Math. Univ. Carolinae 41 (2001) 41-51.

Y. Liu, D. Zhang, Lowen spaces, J. Math. Anal. Appl. 241 (2000) 30-38.

D. Zhang, Fuzzy pretopological spaces, an extensional topological extension of fuzzy topological spaces, Chinese Ann. Math. Series B, 20 (1999) 309-316.

D. Zhang, L. Xu, Categories isomorphic to FNS, Fuzzy Sets and Systems 104 (1999) 373-380.

T. Kubiak, D. Zhang, On the L-fuzzy Brouwer fixed point theorem, Fuzzy Sets and Systems 105 (1999) 287-292.

D. Zhang, Zh. Yang, Cartesian closedness of categories of completely distributive lattices, Chinese Science Bulletin, English Series, 43B (1998) 2059-2062.

H. Herrlich, D. Zhang, Categorical properties of probabilistic convergence spaces, Applied Categorical Structures 6 (1998) 495-513.

D. Zhang, Metrizable completely distributive lattices, Comment. Math. Univ. Carolinae 38 (1997) 137-148.

D. Zhang, Y. Liu, L-fuzzy version of Stone’s representation theorem for distributive lattices, Fuzzy Sets and Systems 76 (1995) 259-270.

D. Zhang, Y. Liu, L-fuzzy modification of completely distributive lattices, Math. Nachr. 168 (1994) 79-95.

D. Zhang, The stratified canonical fuzzy topology on I(I) is uniformizable, J. Math. Anal. Appl. 170 (1992) 65-74.

张德学, 一般拓扑学基础, 科学出版社, 第一版, 2012, 修订版, 2014.


Last updated on 1 Oct 2016