应用数学、理论计算机科学、计算智能、信息科学的数学基础 研究方向包括：不确定性数学理论、非经典逻辑与近似推理、粗糙集理论及应用 本人近期感兴趣的研究领域主要有：

（1）非经典逻辑与近似推理，特别是模糊逻辑与模糊推理，这是人工智能的重要研究方向之一，它属于不确定性数学理论，逻辑学及信息科学的交叉研究领域；

（2）不确定性决策理论与方法，特别是模糊决策，这是近期学术界的研究热点之一，它属于不确定性数学理论与管理科学中的决策分析的交叉研究领域。

[1] Zhi Pei, Daowu Pei, Li Zheng. Topology vs generalized rough sets. International Journal of Approximate Reasoning, 2011, 52(2): 231-239. (SCI收录: 717RX)

[2] 裴道武, 王三民, 杨瑞. 模糊蕴涵格理论. 高校应用数学学报, 2011, 26(3): 343-354.

[3] S.Dai, D.Pei, S.-M.Wang. Perturbation of fuzzy sets and fuzzy reasoning based on the normalized Minkowski distances. Fuzzy sets and Systems, 2012, 189(1): 63-73. (SCI收录: 890FP)

[4] Daowu Pei. Formalization of implication based fuzzy reasoning method. Int. J. Approximate Reasoning, 2012, 53(5): 837-846. (SCI收录: 942TT)

[5] San-min Wang, Dao-wu Pei. On the axiomatic system for the logic of linearly ordered BCI-matrices. Archive for Mathematical Logic, 2012, 51: 285-297. (SCI收录: 973CQ)

[6] Daowu Pei. On the independence of the formal system L*, Int. J. Fuzzy Systems, 2012, 14(2): 226-232. (SCI收录: 979MW)

[7] 裴道武. 模糊推理的基本理论. 高校应用数学学报, 2012, 27(3): 340-350.

[8] Songsong Dai, Daowu Pei, Donghui Guo. Robustness analysis of full implication inference method. International Journal of Approximate Reasoning, 2013, 54(5): 653-666. (SCI收录: 123HS)

[9] Jianming Zhan, Daowu Pei and Young Bae Jun. Falling fuzzy (implicative) filters of R0-algebras and its applications. Journal Journal of Intelligent and Fuzzy Systems, 2013, 24(3): 611-618. (SCI收录: 106AL)

[10] Daowu Pei, Rui Yang. Hierarchical structure and applications of fuzzy logical systems. International Journal of Approximate Reasoning, 2013, 54(9): 1483-1495. (SCI收录: 244YN)

[11] Daowu Pei, Aiying Zhang. Truth degree analysis of fuzzy reasoning. Journal of Intelligent & Fuzzy Systems 26 (2014) 1439-1452.