赵彬 |
基础数学
General Topology, Order Structures (posets, domains, quantales) and Logic1999年教育部首届“高校青年教师奖”;
2017年西安交通大学“领军人才”。[1] 国家自然科学基金重点项目 (Grant no. 11531009), 201601-202012,主持人.
[2] 中央高校团队研究项目(Grant no. GK201501001),201501-201712,主持人
[3] 国家自然科学基金项目(Grant no. 11171196),201201-201512,主持人
[4] 国家自然科学基金项目(Grant no. 11871121),200901-201112,主持人
[5] 国家自然科学基金项目(Grant no. 10471083),200501-200712,主持人
[6] 教育部高校青年教师教学科研奖励计划200001-200412,主持人
[7] 国家自然科学基金项目(Grant no. 19701020),199801-200012,主持人
Partial Published Research Articles
1. Bin Zhao, Pengfei He, On Non-commutative Residuated Lattices With Internal states, IEEE Transactions on Fuzzy Systems, 2018, 26(3):1387-1400.
2. Jing Lu, Kaiyun Wang, Bin Zhao, Equivalence relations induced by the U-partial order, Fuzzy Sets and Systems, 2018, 334: 73-82.
3. Bin Zhao, Peng Yu, A Kind of Quantitative Method Based on Camberra Fuzzy Distance in Multiple -Value Logic, Acta Electronica Sinica, Chinese Series, 2018,46(10):2305-2315.
4. Bin Zhao, Supeng Wu, Kaiyun Wang, Quantale algebras as lattice-valued quantales, Soft Computing, 2017, 21(10): 2561-2574.
5. Bin Zhao, Changchun Xia, Kaiyun Wang, Topological semigroups and their prequantale models, Filomat, 2017, 31(19): 6205–6210.
6. Bin Zhao, Jing Lu, Kaiyun Wang, Adjoint relations for the category of local dcpos, in Special Issue on the Occasion of Banaschewski’s 90th Birthday, Categories and General Algebraic Structures with Applications, 2017, 7, 89-105.
7. Kaiyun Wang, Bin Zhao, A representation theorem for Girard Q-algebras, Journal of Multiple-Valued Logic and Soft Computing, 2017, 29(1-2): 25-41.
8. Min Liu, Bin Zhao, A non-frame valued Cartesian closed category of liminf complete fuzzy orders, Fuzzy Sets and Systems, 2017, 321: 50-54.
9. Changchun Xia, Shengwei Han, Bin Zhao, A note on injective hulls of posemigroups. Theory and Applications of Categories, 2017, 32: 254-257.
10. Bin Zhao, Nana Ma, L-quantum spaces, Science China Information Sciences, 2016, 59(3): 0322011-0322019.
11. Kaiyun Wang, Bin Zhao, On embeddings of Q-algebras, Houston Journal of Mathematics, 2016, 42: 73-90.
12. Shengwei Han, Bin Zhao, On the power-set Q-algebras, Semigroup Forum, 2016, 92: 214-227.
13. Jing Lu, Kaiyun Wang, Bin Zhao, Some further results on Z-quantales, Acta Mathematica Sinica, Chinese Series, 2015, 58: 911-922.
14. Bin Zhao, Min Liu, Algebras with compatible quantale-enriched structures, Science China Information Sciences, 2014, 57: 112113:1-112113:10.
15. Hongjun Zhou, Bin Zhao, Characterizations of endomorphic nuclei on R0-algebras, Journal of Multiple-Valued Logic and Soft Computing, 2014, 22(1-2): 123–132.
16. Min Liu, Bin Zhao, Two cartesian closed subcategories of fuzzy domains, Fuzzy Sets and Systems, 2014, 238: 102-112.
17. Bin Zhao, Hongjun Zhou, Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices, Archive for Mathematical Logic, 2013, 52: 689-706.
18. Kaiyun Wang, Bin Zhao, Some further results on order-convergence in posets, Topology and its Applications, 2013, 160: 82-86.
19. Shengwei Han, Bin Zhao, Shunqin Wang, A note on the number of subquantales, Algebra Universalis, 2013, 69: 191-200.
20. Shengwei Han, Bin Zhao, Q-fuzzy subsets on ordered semigroups, Fuzzy Sets and Systems, 2013, 210: 102-116.
21. Min Liu, Bin Zhao, Cartesian closed categories of FZ-domains, Acta Mathematica Sinica, English Series, 2013, 29(12): 2373-2390.
22. Shengwei Han, Bin Zhao, Remark on the unital quantale Q[e], Applied Categorical Structures, 2012, 20: 239-250.
23. Kaiyun Wang, Bin Zhao, Join-completions of L-ordered sets, Fuzzy Sets and Systems, 2012, 199: 92-107.
24. Hongjun Zhou, Bin Zhao, Generalized Bosbach and Riečan states based on relative negations in residuated lattices, Fuzzy Sets and Systems, 2012, 187: 33-57.
25. Bin Zhao, Kaiyun Wang, Order topology and bi-Scott topology on a poset, Acta Mathematica Sinica, English Series, 2011, 27: 2101-2106.
26. Wei Yao, Bin Zhao, Kernel systems on L-ordered sets, Fuzzy sets and Systems, 2011, 182: 101-109.
27. Shengwei Han, Bin Zhao, Nuclei and conuclei on residuated lattices, Fuzzy Sets and Systems, 2011, 172: 51-70.
28. Hongjun Zhou, Bin Zhao, Stone-like representation theorems and three-valued filters in R0-algebras (nilpotent minimum algebras), Fuzzy Sets and Systems, 2011, 162 : 1-26.
29. Kaiyun Wang, Bin Zhao, Z-quantales and their categorical properties, Acta Mathematica Sinica, Chinese Series, 2010, 53: 997-1006.
30. Shengwei Han, Bin Zhao, The quantic conuclei on quantales, Algebra Universalis, 2009, 61: 97-114.
31. Sanmin Wang, Bin Zhao, HpsUL is not the logic of pseudo-uninorms and their residua, Logic Journal of the IGPL, 2009, 17: 413-419.
32. Shengwei Han, Bin Zhao, Quantale completion of ordered semigroups, Acta Mathematica Sinica, Chinese Series, 2008, 51: 1081-1088.
33. Sanmin Wang,Bin Zhao, Prenex normal form in linguistic quantifiers modeled by Sugeno integrals, Fuzzy Sets and Systems, 2008, 159: 1719-1723.
34. Yihui Zhou, Bin Zhao, Order-convergence and lim-infM-convergence in posets, Journal of Mathematical Analysis and Applications, 2007, 325: 655-664.
35. Bin Zhao, Juan Li, O2-convergence in posets, Topology and its Applications, 2006, 153: 2971-2975.
36. Bin Zhao, Yihui Zhou, The category of supercontinuous posets, Journal of Mathematical Analysis and Applications, 2006, 320: 632-641.
37. Feng Qin, Bin Zhao, A new kind of solution to modularity condition equations, Acta Mathematica Sinica, Chinese Series, 2006,49(6): 1433-1440.
38. Bin Zhao, Dongsheng Zhao, Lim-inf convergence in partially ordered sets, Journal of Mathematical Analysis and Applications, 2005, 309: 701-708.
39. Feng Qin, Bin Zhao, The distributive equations for idempotent uninorms and nullnorms, Fuzzy Sets and Systems, 2005, 155: 446-458.
40. Yun Shang, Bin Zhao, Z-connected set system and its category characteristic. Acta Mathematica Sinica, Chinese Series, 2004, 47(6): 1141-1148.
41. Yun Shang, Bin Zhao, Some characterization theorems on maximal point spaces, Acta Mathematica Sinica, Chinese Series, 2003, 43(6): 1233-1238.
42. Bin Zhao, Sanmin Wang, Solutions to two problems of G. J. Wang, Science in China. Series A. Mathematics, 2001, 44: 889-894.
43. Bin Zhao, The inverse limit in the category of topological molecular lattices, Fuzzy Sets and Systems, 2001, 118: 547-554.
44. Dongsheng Zhao, Bin Zhao, A generalization of Lawson-Hoffmann duality, Acta Mathematica Sinica, Chinese Series, 1998, 41(6): 1325-1332.
45. Bin Zhao, Limits in the category of molecular lattices, Acta Mathematica Sinica, Chinese Series, 1997, 40: 411-418.
46. Bin Zhao, The cardinal functions on L-fuzzy topological spaces, Fuzzy Sets and Systems, 1997, 91: 107-113.
47. Bin Zhao, Limits in the category of topological molecular lattices, Chinese Science Bulletin, 1996, 41(17) : 1409-1413.
48. Bin Zhao, Weight, character and density of induced space, Chinese Science Bulletin, 1991, 36: 713-715.