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不确定性数学理论及应用
作者:研究生工作办公室  来源:研究生工作办公室  发布时间:2014年11月20日  点击次数:840

 

一、    简介

在信息科学、管理科学、工业工程、航天技术等众多领域都存在各种各样的不确定性现象,如随机性、模糊性、粗糙性、不完备性、不协调性等现象。辨证地讲,不确定性是绝对的,确定性是相对的。对这些不确定性现象的研究具有重要的理论及应用意义。除了历史悠久的随机理论、证据理论之外,新兴的模糊集理论、粗糙集理论、概念格理论、包含度分析理论以及三支决策理论等,在人工智能以及管理科学等领域得到广泛的应用,其研究得到越来越广泛的重视。本团队主要针对不确定性问题的数学理论及其应用开展工作。

二、    团队负责人简介

管延勇,教授,理学博士,应用数学专业硕士生导师。

长期从事数学基础课和专业课的教学与改革工作,先后主讲《高等数学》、《概率论与数理统计》、《线性代数》等公共基础课,《空间解析几何》、《常微分方程》、《离散数学》、《模糊数学》、《近世代数》等专业课,以及《代数学》、《模糊集理论及其应用》、《概率论与数理统计》等研究生课程。先后主持或参与校级省级教学研究项目近10项,其中获省级一等奖一项,校级奖励多项。主编或参编教材4部。

主持完成国家自然科学基金面上项目一项,主持完成山东省自然科学基金面上项目一项,主持完成山东省教育厅科研发展计划项目与济南大学博士基金项目各一项。参与国家自然科学基金一项、省自然科学基金三项。获山东省高等学校优秀科研成果三等奖一项。在国内外学术期刊或国际会议论文集发表论文五十余篇,其中被SCI, EI, ISTP等收录近四十篇。

硕士研究生阶段所学专业为基础数学,博士研究生阶段所学专业为系统理论,目前研究领域为粗糙集理论与方法以及信息系统知识发现等。

三、    团队成员情况

王洪凯:博士、副教授。研究领域:粗糙集理论及其应用、三支决策。

  斌:博士、副教授。研究领域:拓扑学、粗糙集理论、软集理论、决策理论。

陈文娟:博士、副教授。研究领域:代数学、模糊学、模糊推理

徐法升:硕士、讲师。  研究领域:算法理论、粗糙集理论与应用。

 

四、    团队科研方向

模糊集、粗糙集、软集等软计算方法的数学理论;

    信息系统知识发现;

    决策理论;

    模糊推理。

五、    科研项目

1.国家自然科学基金 (61070241) 负责人:管延勇。   

基于区间知识颗粒的优势关系粗糙集理论与序信息系统知识约简研究。2011.01-2013.1232万。

2.     国家自然科学基金 (60774100)(管延勇,参与,第二位)

直觉模糊环境下的近似推理算法理论。2008. 01-2010. 1219万。

3.     山东省自然科学基金 (ZR2010FM035)。负责人:管延勇。

基于区间知识颗粒的优势关系粗糙集理论与序信息系统知识发现研究。2010. 11-2013. 115万。

4.     国家自然科学基金专项基金数学天元青年基金 (11126301)。负责人:陈文娟。

直觉模糊子双代数集合的代数结构研究。2012. 01-2012. 123

5.     山东省自然科学基金青年基金项目 (ZR2011AQ015) 负责人:陈斌。 

覆盖近似空间研究中的拓扑学方法。2011.07-2014.07 5万。

6.     山东省自然科学基金(ZR2013AQ007/SZR1306)负责人:王洪凯。

模糊近似空间中知识粗交流问题的研究。2013.10-2016.105

7.     山东省优秀中青年科学家科研奖励基金 (BS2011SF002)负责人陈文娟。

Atanassov直觉模糊集的对偶及其应用。 2011.07-2014.07 5万。

8.     山东省自然科学基金(ZR2009HM027)。(管延勇,参与第三位)。

高校学生创新能力管理绩效评价体系及测度方法研究。2009. 12-2012. 01   5万。

9.     山东省自然科学基金(W2006A12)。(管延勇,参与,第二位)。

正负域覆盖广义粗集理论及知识粗传播研究。2006. 12-2009. 125万。

10.  山东省教育厅科研发展计划(J06P01)。负责人:管延勇。

信息系统知识发现的粗糙集方法。2006.12-2009.125万。

11.  济南大学博士基金(B0616)。负责人:管延勇。

粗糙集扩展模型及其应用。2006.12-2009.12 4万。

12.  济南大学博士基金(B0633)。负责人:王洪凯。

近似空间中知识传递问题的研究。2006.12-2009.124万。

13.  济南大学博士基金 (XBS0919) 负责人:陈文娟。

几类代数结构的模糊理论研究。 2009. 12-2012. 123万。

14.  济南大学博士基金。负责人:陈斌。

点集拓扑学理论在模糊数学中的应用。2009.01-2011.12 3万。

15.  济南大学自然科学基金青年项目 (XKY1028) 负责人: 陈文娟。

双代数在不确定性理论中的研究。2010.10-2012.100.5万。

 

六、科研论文

2014

 

[1] 管延勇,王洪凯,徐法升。序决策信息系统中区间决策规则的获取,控制与决策,201429(9): 1611-1616. (EI )

Guan YY, Wang HK, Xu FS. Interval decision rules acquisition in ordered decision information systems. Chinese Journal of Control & Decision201429(9): 1611-1616.

[2] Jilin Huang, Yanyong Guan, Jianting Shen, Hongkai Wang, Rough Approximations in Tolerance Rough Set Models, 2014 11th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2014, Xiamen, pp.60-65. (EI )

 

2013

[1] Fangfang MA, Yanyong GUAN, Xuezhi Du, Jilin HuangThe study of variable consistency dominance-based rough set approach, Journal of Computational Information Systems, 9(4)(2013): 1369-1379. (EI )

[2] Bin Chen, Soft semi-open sets and related properties in soft topological spaces, Applied Mathematics and Information Sciences. 7(1): 287-294 (2013). (SCI)

[3] Fangfang MA, Yanyong GUAN, Jilin Huang, Fasheng Xu. Equivalence between two kinds of reducts and approaches to computing reducts in ordered information systems, Proceedings of 2013 Third IEEE International Conference on Information Science and Technology, March 23-25, 2013, Yangzhou, Jiangsu, China, pp.643-646. (EI )

[4] Yanyong Guan, Hongkai Wang, Fasheng Xu, Hongbing Jiang. A new dominance-based rough set model based on interval knowledge granules, The Proceedings of 2013 10th International Conference on Fuzzy Systems and Knowledge Discovery, July 23-25, 2013, Shenyang, China, pp. 559-563. (EI )

[5] Yanyong Guan, Hongkai Wang, Wenjuan Chen, Bin Chen, Definite reducts in ordered decision information systems, The Proceedings of Sixth International Conference on Advanced Computational Intelligence (ICACI2013), October 19-21, 2013, Hangzhou, China, pp. 91-95. (EI)

[6] Bin Chen, Some local properties of soft semi-open sets, Discrete Dynamics in Nature and Society, Volume 2013 (2013), Article ID 298032, 6 pages. (SCI) http:// dx.doi.org/10.1155/ 2013/298032

[7] 王洪凯。属性评价的三支决策方法//刘盾, 李天瑞, 苗夺谦, 王国胤, 梁吉业。 三支决策与粒计算。北京: 科学出版社, 2013, 289-302

 

2012

 

[1] Fangfang MA, Yanyong GUAN, Hongbing JIANG, Wenjuan CHEN, Hongkai WANG The comparative study of pawlak rough set model and dominance- based rough set approachJournal of Computational Information Systems, 8(11) (2012) : 4705-4715. (EI )

[2] Wenjuan Chen, Yanyong Guan, The set of fuzzy points of coalgebras, Utilitas Mathematica, 89 (2012): 367-371. (SCI)

[3] Wenjuan Chen and Yanyong Guan, The Dual of Generalized Fuzzy Subspaces, Journal of Applied Mathematics, Volume 2012, Article ID 932014, 9 pages.(SCI)

[4] Wenjuan Chen, Muhammad Akram, Yanyong Guan, Intuitionistic Fuzzy Subcoalgebras of Coalgebras, Ars Combinatoria, 106(2012) : 423-434. (SCI)

[5] Wenjuan Chen, Wenxu Ge, Fuzzy subbialgebras and duality, Utilitas Mathematica 87 (2012):13-20 . (SCI)

[6] Wenjuan Chen, Muhammad Akram, Fuzzy subcoalgebras and fuzzy subcomodules, Journal of Algebra and Applied Mathematics, 10, No.1 & 2, (2012)15-32.

 

2011

 

[1] Hongbing Jiang, Yanyong Guan, Hongkai Wang, Fangfang Ma. Decision Rules Acquisition Based on Consistent Objects in Ordered Information Systems with Fuzzy Decisions. Journal of Information & Computational Science2011 Vol. 8 (10) : 1995- 2002. (EI)

[2] Lei Du, Yanyong Guan, Hongbing Jiang, and Hongkai Wang. Consistent Reduct in Ordered Information Systems, Proceedings of International Conference on Information Science and Technology, 2011, March 26-28, Nanjing, pp.348-351(EI)

[3] Chen Bin. Topological Approaches to the second type of Covering-based rough sets.Advanced Materials Research.(EI)Accession number: 20111213782711)

[4] Hongkai Wang, Yanyong Guan, Chunhua Yuan. Genetic algorithm for λ-optimal translation sequence of rough communication. Journal of Systems Engineering and Electronics, 2011,22(4): 609-614. SCI; EI

[5] Hongkai Wang, Yanyong Guan, Lei Du. Information rough communication based on both-branch fuzzy set. Journal of Systems Engineering and Electronics, 2011, 22(2): 257-262. SCI; EI

[6] Bin ChenDecompositions of fuzzy continuity by fuzzy strongly pre-I-continuous functionInternational Journal of the Physical Sciences Vol. 6(8), pp. 1882-1886, 18 April, 2011.

[7] Bin Chen, Jinjin LiOn topological covering-based rough spacesInternational Journal of the Physical Sciences Vol. 6(17), pp. 4195-4202, 2 September, 2011.

[8] Wenjuan Chen, Muhammad AkramInterval-valued Fuzzy Structures on Lie SuperalgebrasThe Journal of Fuzzy Mathematics19 (4) (2011): 951-968.

 

2010

 

[1] Yanyong Guan, Lei Du, Hongbing Jiang, Hongkai Wang. Lower Approximation Reduction in Inconsistent Ordered Decision Information Systems. Journal of Information & Computational Science 7: 14 (2010) 3149-3156. (EI)

[2] Fang Yang, Yanyong Guan, Shujin Li, Lei Du. Attributes reduct and decision rules optimization based on maximal tolerance classification in incomplete information systems with fuzzy decisions. Journal of Systems Engineering and Electronics, Vol. 21, No. 6, December 2010, pp.995-999.  (SCI)

[3] Fang Yang, Yanyong Guan, Lei Du. Attribute Reduction and Optimal Decision Rules Acquisition in Interval-valued Information System. Proceedings of 2010 Seventh International Conference on Fuzzy Systems and Knowledge Discovery, 2010, pp. 1886-1890.  (EI)

[4] 杜蕾,管延勇,杨芳。优势关系下模糊目标信息系统的决策规则优化。计算机工程与应用,20104635):136-138

[5] Hongkai Wang, Hongbing Jiang, Yanyong Guan. Optimal Translation Sequence of Rough Communication Based on Information Measure. 2010 Second WRI Global Congress on Intelligent Systems. 2010, PP. 90-93. EI

[6] Chen Wenjuan. Intuitionistic fuzzy quotient Lie superalgebras, International Journal of Fuzzy Systems, 12(4) (2010): 330-339.  (SCI, EI)

[7] Chen Bin.-Generalized-Convergence Theory of L-Fuzzy Nets and its Applications. Italian J. of Pure and Applied Mathematics. Accession number:20112914151485. (EI)

[8] Chen Bin. Topological Approaches to the First Type of Covering-Based Rough Sets. 2010 International Conference of Information Science and Management Engineering.  (EI, Accession number:20104413349253)

 

2009

 

[1] Yan-yong Guan, Hong-kai Wang, Yun Wang, Fang Yang. Attribute reduction and optimal decision rules acquisition for continuous-valued information systems. Information Sciences, 2009, 179: 2974-2984. (SCI)

[2] Yanyong Guan, Lei Du, Yun Wang. Order-based decision rules acquisition in continuous-valued decision information systems. Proceedings of the 6th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD'09), 2009, PP. 435-439.  (EI)

[3] Wang Hongkai, Guan Yanyong. Rough communication of crisp concept in fuzzy approximation spaces. Journal of Systems Engineering and Electronics, 2009, 20(2): 327-331. (SCI)

[4] Wenjuan Chen, Shunhua Zhang. Intuitionistic fuzzy Lie sub-superalgebras and intuitionistic fuzzy ideals. Computers and Mathematics with Applications, 2009, 58: 1645-1661. (SCI)  

[5] Wenjuan Chen, Shunhua Zhang. Fuzzy Subcoalgebras and Duality. Bull. Malays. Math. Sci. Soc, 2009, 32(3): 283-294.  (SCI)

[6] Wenjuan Chen. Intuitionistic fuzzy Lie sub-superalgebras and ideals of Lie superalgebras. Proceedings of CSO 2009, 2, pp. 841-845. (EI)

 

2008

 

[1] 管延勇, 王洪凯, 史开泉。集值信息系统及其属性约简,数学的实践与认识,2008282):101-107

[2] Fang Yang, Yanyong Guan, Zhaoxia Yu Attributes Reduct and Optimal Decision Rules Acquisition in Fuzzy Objective Information Systems. ICIC 2008, Lecture Notes in Artificial Intelligence, vol.5227, Springer, Berlin, 2008, pp. 857–863. (EI)

[3] 王洪凯, 管延勇, 史开泉. 基于直觉模糊集的粗交流. 系统工程理论与实践,2008287):144-149   (EI)

[4] Wang Hongkai, Guan Yanyong, Xue Peijun. Simulated annealing algorithm for the optimal translation sequence of the jth agent in rough communication. Journal of Systems Engineering and Electronics. Vol. 19, No.3, 2008, pp.507–512.  (SCI, EI)

[5] Wang Yun, Guan Yanyong, Huang Zhiqin. Rough function model and rough membership function. Journal of systems engineering and electronics, 2008, 19(3): 405-418  (SCI:322XF, EI:082711349952)

[6] Yun Wang, Yanyong Guan, Hongkai Wang, Kaiquan Shi. An improved intermediate value theorem and rough fix-point theorem of roughly continuous discrete functions. Fifth International Conference on Fuzzy Systems and Knowledge Discovery, 2008, 10, PP: 241-245. (EI)

[7] 陈文娟. 模糊商李超代数. 山东大学学报(理学版), 2008, 43(6): 25-27.

 

2007

 

[1] 管延勇,姚金江,王洪凯.近似空间中的孤点与粗相等类的代数结构.模糊系统与数学,2007211),111-116

[2] Hongkai Wang, Baocang Liu, Yanyong Guan. One direction expansion rough communication of dynamic concept based on generation of assistant sets. International Journal of Advances in Systems Science and Applications, 2007, 7(1): 93-96.

[3] Hongkai Wang, Yanyong Guan, Bingxue Yao, Kaiquan Shi. Result optimal translation sequence of a new definition form of rough communication. IEEE Proceedings of the Sixth International Conference on Machine Learning and Cybernetics, 2007, PP. 3040-3044. (EI, ISTP)

[4] Hongkai Wang, Jinjiang Yao, Peijun Xue, Kaiquan Shi. Rough communication of dynamic conceptAdvances in Soft Computing / Proceedings of the Second International Conference of Fuzzy Information and Engineering, 2007, PP. 781-787. (ISTP )

[5] Hongkai Wang, Yanyong Guan. Result optimal translation sequence of rough communication of fuzzy concept. Proceedings of the Second International Conference on Complex Systems and Applications-Modeling, Control and Simulations. 2007, PP. 3040-3044. (ISTP )

[6] Yun Wang, Yanyong Guan, Hongkai Wang. Rough derivatives in rough function model and their application. Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery, 2007, PP: 193-197. EI082200281946

[7] Yun Wang, Jinmei Wang, Yanyong Guan. The theory and application of rough integration in rough function model. Proceedings of the Fourth International Conference on Fuzzy Systems and Knowledge Discovery, 2007, PP: 224-228. EI082211281952

[8] Yun Wang, Yanyong Guan, Kaiquan Shi. Basic theory in the new real line-scale rough function model. Journal of Information and Computing Science, 2007, 2(1): 41- 47.

 

2006

 

[1] Yanyong Guan, Hongkai Wang. Set-valued information systems. Information Sciences,  2006, 176: 2507-2525. SCI, EI

[2] 管延勇,史开泉,薛佩军.基于描述子的信息系统属性约简及决策规则优化.控制与决策,200621(7)787-791.(EI

[3] 管延勇,薛佩军,胡海清.集值决策信息系统的属性约简及确定性决策规则优化.系统工程与电子技术,200628(4)551-555. EI

[4] Yanyong GuanHongkai Wang, Bingxue Yao. Analysis of the concept translation result in rough communication. Proceedings of 2006 International Conference on Artificial Intelligence, 2006, PP. 381-384. (ISTP )

[5] Yanyong Guan, Jinping Li, Yun Wang. Improved discernibility matrices on decision table. International Journal of Advances in Systems Science and Applications, 2006, 6(3): 439 -445.

[6] 管延勇,王洪凯,史开泉. 集合的粗相似度量.模糊系统与数学,2006 20(1)134-139

[7] 管延勇,王耘,史开泉.基于VPRS的信息系统近似决策规则优化.计算机工程与应用,200642(22)143-145

[8] 管延勇,胡海清,王洪凯.粗糙集模型中的不可分辨关系.山东大学学报(工学版),2006361):75-80

[9] Hongkai Wang, Yanyong Guan, Bingxue Yao. Kaiquan Shi. Fuzzy rough communication and optimization problem of its translation sequence. IEEE Proceedings of the Fifth International Conference on Machine Learning and Cybernetics, 2006, PP. 2268-2273.EI, ISTP

[10] 王洪凯,管延勇,史开泉.粗交流整体最优传递序列的模拟退火算法.系统工程理论与实践,2006269):118-122(EI )

[11] 王洪凯,赵树理.粗交流的一种新定义形式.计算机科学,2006339):189-190

[12] 王洪凯,陈秀琼,史开泉.粗交流结果最优传递序列的模拟退火算法.模糊系统与数学,2006205):125-130

[13] Yun Wang,Yanyong Guan,Yan Zhang, Kaiquan Shi. Rough cauchy sequences in rough function model and their properties. International Journal of Advances in Systems Science and Applications, 2006, 6(3): 381-387

[14] Yun Wang, Yanyong Guan, Kaiquan Shi. A new judging model of fuzzy cluster optimal dividing. 模糊系统与数学,2006204):79-85.

 

2005

 

[1] 管延勇,薛佩军,王洪凯.不完备信息系统的可信决策规则提取与E-相对约简. 系统工程理论与实践,20052512):76-82.(EI 

GUAN Yanyong, XUE Peijun ,WANG HongkaiCredible Decision Rules Acquisition and E- relative Reduct in Incomplete Information SystemsJournal of Systems Engineering-Theory & Practice, 2005, 25(12), 76-82

[2] Hongkai Wang, Xiuhong Li, Kaiquan Shi. Information measure in rough communication. International Journal of Advances in Systems Science and Applications, 2005, 5(4): 638-643.

[3] Hongkai Wang, Peijun Xue, Kaiquan Shi. The problem of rough communication of fuzzy concept. Proceedings of the 11th Joint International Computer Conference, 2005, PP. 674-677. ISTP

 

 
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