Vague集理论及其在模糊信息处理中的应用

林志贵, 徐立中, 刘英平

林志贵, 徐立中, 刘英平. Vague集理论及其在模糊信息处理中的应用[J]. 信息与控制, 2005, 34(1): 54-59.
引用本文: 林志贵, 徐立中, 刘英平. Vague集理论及其在模糊信息处理中的应用[J]. 信息与控制, 2005, 34(1): 54-59.
LIN Zhi-gui, XU Li-zhong, LIU Ying-ping. Vague Set Theory and Its Application in Fuzzy Information Processing[J]. INFORMATION AND CONTROL, 2005, 34(1): 54-59.
Citation: LIN Zhi-gui, XU Li-zhong, LIU Ying-ping. Vague Set Theory and Its Application in Fuzzy Information Processing[J]. INFORMATION AND CONTROL, 2005, 34(1): 54-59.

Vague集理论及其在模糊信息处理中的应用

基金项目: 国家自然科学基金资助项目(60374033);江苏省自然科学基金资助项目(BK2002064)
详细信息
    作者简介:

    林志贵(1974- ),男,博士研究生.研究领域为智能信息处理及应用,实时控制.
    徐立中(1958- ),男,博士,教授,博士生导师.研究领域为信息处理与应用,信息系统集成,测控技术与系统.
    刘英平(1977- ),女,博士研究生.研究领域为系统集成,智能计算.

  • 中图分类号: TP18

Vague Set Theory and Its Application in Fuzzy Information Processing

  • 摘要: 介绍vague集理论及其不同的表示形式,并解释这些表示形式的几何意义.讨论vague集与fuzzy集之间的区别和联系,较全面和系统地回顾vague集理论的研究进展及其在决策、近似推理及医疗诊断等领域中的应用现状.最后,指出vague在理论和应用等方面存在的问题及未来可能的研究方向.
    Abstract: Vague set theory and its different expressions are presented, the geometrical meaning of the expressions is interpreted, and the relations between vague sets and fuzzy sets are discussed. The development of vague sets is systematically discussed. Applications of the theory in decision-making, approximate reasoning and medical diagnosis are analyzed. Finally, problems existing in vague set theory and application, and directions of their further development are also proposed.
  • [1] Gau W L, Buehrer D J.Vague sets [J].IEEE Transactions on Systems,Man,and Cybernetics, 1993,23(2):610~614.
    [2] Atanassov K T.Intuitionistic fuzzy sets [J].Fuzzy Sets and Systems, 1986,20(1):87~96.
    [3] Bustince H, Burillo P.Vague sets are intuitionistic fuzzy sets [J].Fuzzy Sets and Systems, 1996,79(3):403~405.
    [4] Atanassov K T.Intuitionistic Fuzzy Sets [M].New York:Physica-Verlag, Heidelberg, 1999.
    [5] Szmidt E, Kacprzyk J.Entropy for intuitionistic fuzzy sets [J].Fuzzy Sets and Systems, 2001,118(3):467~477.
    [6] 李凡,蔡立晶,吕泽华.vague集的三维表示[J].华中科技大学学报(自然科学版),2002,30(10):44~46.
    [7] Burillo P, Bustince H.Construction theorems for intuitionistic fuzzy sets [J].Fuzzy Sets and Systems, 1996,84(3):271~281.
    [8] Bustince H, Burillo P.Structures on intuitionistic fuzzy relations [J].Fuzzy Sets and Systems, 1996, 78(3):293~303.
    [9] Lin H, Liu C Y, He Z X.The mathematic tools describing large scale systems:fuzzy set, extension set, vague set, set pair analysis and their relation [A].Proceedings of the 4th World Congress and Automation [C].Shanghai:Institute of Electrical and Electronics Engineers Inc., 2002.1662~1666.
    [10] Kumar De S, Biswas R, Ranjan Roy A.Some operations on intuitionistc fuzzy sets [J].Fuzzy Sets and Systems, 2000,114(3):477~484.
    [11] 李凡,饶勇.基于vague集的加权模糊运算[J].华中科技大学学报(自然科学版),2001,29(3):12~14.
    [12] Deschrijver G, Kerre E E.On the composition of intuitionistic fuzzy relations [J].Fuzzy Sets and Systems, 2003,136(3):333~361.
    [13] Coker D.An introduction to intuitionistic fuzzy topological spaces [J].Fuzzy Sets and Systems, 1997,88(1):81~89.
    [14] 闫德勤,迟忠先.vague集中的分解定理与相似度量[J].计算机科学,2003,30(1):78~79.
    [15] Liu Y H, Xiong F L.Subsethood on intuitionistic fuzzy sets [A].Proceedings of the First International Conference on Machine Learning and Cybernetics [C].Beijing:Institute of Electrical and Electronics Engineers Inc., 2002.1336~1339.
    [16] Mondai T K, Samanta S K.Topology of interval-valued intuitionistie fuzzy sets [J].Fuzzy Sets and Systems, 2001,119(3):483~494.
    [17] Deschrijver G, Kerre E E.On the relationship between some extensions of fuzzy set theory [J].Fuzzy Sets and Systems, 2003,133(2):227~235.
    [18] 张江,林华,贺仲雄.统一集论与人工智能[J].中国工程科学,2002,4(3):40-47.
    [19] Chen S M.Measures of similarity between vague sets [J].Fuzzy Sets and Systems, 1995,74(2):217~223.
    [20] Hong D H, Kim C.A note on similarity measures between vague sets and elements [J].Information Sciences, 1999,115(1-4):83~96.
    [21] 李凡,徐章艳.vague集之间的相似度量[J].软件学报,2001,12(6):922~927.
    [22] Szmidt E, Kacprzyk J.Distances between intuitionistic fuzzy sets [J].Fuzzy Sets and Systems, 2000,114(3):505~518.
    [23] Li D F, Cheng C T.New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions [J].Pattern Recognition Letters, 2002,23(1-3):221~225.
    [24] Liang Z Z, Shi P F.Similarity measures on intuitionistic fuzzy sets [J].Pattern Recognition Letters, 2003,24(15):2687~2693.
    [25] 张诚一,李东亚,党平安.vague集之间的相似度[J].计算机科学,2003,30(5):98~100.
    [26] 李凡,吕泽华,蔡立晶.基于Fuzzy集的vague集的模糊熵[J].华中科技大学学报(自然科学版),2003,31(1):1~3.
    [27] Hong D H, Choi C H.Multicriteria fuzzy decision-making problems based on vague set theory [J].Fuzzy Sets and Systems,2000,114(1):103~113.
    [28] 李凡,卢安,蔡立晶.基于vague集的多目标模糊决策方法[J].华中科技大学学报(自然科学版),2001,29(7):1~3.
    [29] Atanassov K, Pasi G, Yager R.Intuitionistic fuzzy interpretations of multi-person multi-criteria decision making [A].Proceedings of First International IEEE Symposium on Intelligent Systems [C].Piscataway, NJ, USA:IEEE, 2002.115~119.
    [30] 马志锋,邢汉承,郑晓妹.区间值vague决策系统及其规则提取方法[J].电子学报,2001,29(5):585~589.
    [31] 符海东,卢正鼎.基于vague集的多评价指标模糊决策方法[J].华中科技大学学报(自然科学版),2003,31(8):77~79.
    [32] Sznidt E, Kacprzyk J.Evaluation of agreement in a group of experts via distances between intuitionistic fuzzy preferences [A].Proceedings of First International IEEE Symposium on Intelligent Systems [C].Piscataway, NJ, USA:IEEE,2002.166~170.
    [33] 马志锋,邢汉承.vague决策表中的含糊规则获取策略[J].计算机学报,2001,24(4):382~389.
    [34] 李凡.近似推理[M].北京:科学出版社,1995.
    [35] 李凡,余智,卢安.基于vague集的一类蕴涵算子[J].华中科技大学学报(自然科学版),2001,29(8):53~55.
    [36] 王天江,卢正鼎,李凡.基于vague集加权相似度量的双向近似推理[J].计算机工程与科学,2002,24(6):96~100.
    [37] Castillo O, Melin P.A new method for fuzzy inference in intuitionistic fuzzy systems [A].Proceedings of the Artificial Neural Networks in Engineering Conference [C].St.Louis, MO:American Society of Mechanical Engineers Press, 2003.20~25.
    [38] Chen G, Pham T T.Introduction to Fuzzy Sets, Fuzzy Logic,and Fuzzy Control Systems [M].Florida:Boca Press, 2001.
    [39] Kumar De S, Biswas R, Ranjan Roy A.An application of intuitionistic fuzzy sets in medical diagnosis [J].Fuzzy Sets and Systems, 2001, 117(2):209~213.
    [40] Chen S M.Fuzzy system reliability analysis based on vague set theory [A].Proceedings of the 1997 IEEE International Conference on Computational Cybernetics and Simulation [C].Orlando:IEEE Press, 1997.1650~1655.
计量
  • 文章访问数:  1584
  • HTML全文浏览量:  1
  • PDF下载量:  532
  • 被引次数: 0
出版历程
  • 收稿日期:  2004-05-22
  • 发布日期:  2005-02-19

目录

    /

    返回文章
    返回
    x