计算机科学 ›› 2021, Vol. 48 ›› Issue (11A): 57-62.doi: 10.11896/jsjkx.201200140
康波, 潘小东, 王虎
KANG Bo, PAN Xiao-dong, WANG Hu
摘要： 以公理化模糊集合理论作为基础,把模糊推理看成两个模糊隶属空间之间的映射,利用输入模糊集合在模糊隶属空间中的构成方式,给出了模糊推理输出结果的3种基本形式。对于强否定算子、t-模算子、t-余模算子,利用Minkowski积分形式的距离讨论了这些算子在模糊隶属空间中的扰动性,并在此基础之上分析所提模糊推理方法的连续性。
中图分类号:
| [1]ZADEH L A.Fuzzy sets[J].Information & Control,1965,8(3):338-353. [2]ZADEH L A.Outline of a new approach to the analysis of complex systems and decision processes.[J].IEEETransactions on Systems Man and Cybernetics,1973,3(1):28-44. [3]LI H X.Interpolation mechanism of fuzzy control[J].Science in China(Series E),1998,28(3):259-267. [4]WANG Y Y.Logic in computational science[M].Beijing:Science Press,1989. [5]ANTONIOU G.Nonmonotonic reasoning[M].Cambridge:MIT Press,1997. [6]WANG G J.Non-classical mathematical logic and approximatereasoning[M].Beijing:Science Press,2008. [7]SONG S J,WU C.Inverse triple I algorithm for fuzzy reasoning[J].Chinese Science(Series E),2002,32(2):230-135. [8]ZOU X F,PEI D W.SIS algorithms of fuzzy reasoning[J].Fuzzy System and Mathematics,2010,24(6):1-7. [9]ZHEN M Q,SHI Z K,LIU Y.Triple I method of intuitionistic fuzzy reasoning based on residual implicator[J].Science in China,2013,43(6):810-820. [10]TANG Y M,ZHANG Y C,RENF J,et al.FMT- symmetric I* method for fuzzy reasoning[J].Journal of Nanjing University (Natural Sciences),2018,54(4):706-713. [11]PENG J Y.Reverse Triple I Method of Intuitionistic Fuzzy Reasoning Based on Residual Implicator[J].PatternRecognition and Artificial Intelligence,2018,31(6):525-536. [12]PENG J Y.Full implication method of interval-valued intuitionis-tic fuzzy reasoning[J].Fuzzy Systems and Mathematics,2019,33(3):35-45. [13]PAN X D,XU Y.Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization[J].Soft Computing A Fusion of Foundations Methodologies & Applications,2018,22:1777-1789. [14]PAN X D,XU Y.Correction to:Redefinition of the concept of fuzzy set based on vague partition from the perspective of axiomatization[J].Soft Computing,2018,22(6):2079-2079. [15]MARTIN Š,ULRICH B,MARTINA D,et al.Continuity issues of the implicational interpretation of fuzzy rules[J].Fuzzy Sets Systems,2010,161(14):1959-1972. [16]LIU H W,WANG G J,Continuity of triple I methods based on several implications[J].Comput.Math.Appl.,2008,56:2079-2087. [17]JENEI S.Continuity in Zadeh's compositional rule of inference[J].Fuzzy Sets and Systems,1999,104(2):333-339. [18]LUO M X,YAO N.Triple I algorithms based on Schweizer-Sklar operators in fuzzy reasoning[J]Int.J.Approx.Reason.,2013,54:640-652. [19]DAI S S,PEI D W,WANG S M.Perturbation of fuzzy sets and fuzzy reasoning based on normalized Minkowski distance[J].Fuzzy Sets Systems,2012,189:63-73. [20]HU B Q.Fuzzy theoretical basis[M].Wuhan:Wuhan University Press,2008. [21]HONG D H,WANG S Y.A note on the value similarity of fuzzy systems variables[J].Fuzzy Sets and Systems,1994,66(3):383-386. [22]RUDIN W.Real and Complex Analysis[M].Beijing:China Machine Press,2006:61-64. |
| [1] | 祝轩, 王磊, 张超, 梅东锋, 薛珈萍, 曹晴雯. 基于连续性约束背景模型减除的运动目标检测 Moving Object Detection Based on Continuous Constraint Background Model Deduction 计算机科学, 2019, 46(6): 311-315. https://doi.org/10.11896/j.issn.1002-137X.2019.06.047 |
| [2] | 薛彬彬,秦克云. 基于模糊软集的三I推理方法的性质 Properties of Triple I Reasoning Method Based on Fuzzy Soft Set 计算机科学, 2018, 45(5): 215-219. https://doi.org/10.11896/j.issn.1002-137X.2018.05.036 |
| [3] | 邢瑞康, 李成海. 基于直觉模糊集理论的IDS方法研究 Research on Intrusion Detection System Method Based on Intuitionistic Fuzzy Sets 计算机科学, 2018, 45(11A): 344-348. |
| [4] | 吴志军,刘中,胡涛涛. 面向SWIM系统改进的服务调度算法 Improved Service Scheduling Algorithm for SWIM System 计算机科学, 2017, 44(Z11): 366-371. https://doi.org/10.11896/j.issn.1002-137X.2017.11A.077 |
| [5] | 徐本强,谭雪微,邹丽. 基于真值支持度的直觉模糊推理方法 Intuitionistic Fuzzy Reasoning Based on Truth-valued Support Degrees 计算机科学, 2016, 43(3): 68-71. https://doi.org/10.11896/j.issn.1002-137X.2016.03.013 |
| [6] | 张新菊,姚淑珍. 基于模糊着色Petri网的多状态系统可靠性分析 Multi-state System Reliability Analysis Based on Fuzzy-colored Petri Nets 计算机科学, 2016, 43(11): 77-82. https://doi.org/10.11896/j.issn.1002-137X.2016.11.014 |
| [7] | 吴晓刚,潘正华. 基于模糊命题逻辑形式系统FLcom的模糊推理及应用 Fuzzy Reasoning and its Application Based on Fuzzy Propositonal Logic 计算机科学, 2015, 42(Z11): 100-103. |
| [8] | 吴少群 袁红星 安 鹏 程培红. 图像引导的二阶总广义变分稀疏深度图的稠密重构 Dense Depth Map Reconstruction via Image Guided Second-order Total Generalized Variation 计算机科学, 2015, 42(7): 314-319. https://doi.org/10.11896/j.issn.1002-137X.2015.07.067 |
| [9] | 王万良,石浩,李燕君. 基于Mamdani型模糊推理的加权质心定位算法 Weighted Centroid Localization Algorithm Based on Mamdani Fuzzy Theory 计算机科学, 2015, 42(10): 101-105. |
| [10] | 朱立新,杨扩,秦加合. 一种新的基于自适应神经网络模糊推理系统的图像滤波器 New Noise Digital Images Filter Based on Adaptive Neuro-fuzzy Inference System 计算机科学, 2014, 41(Z6): 211-214. |
| [11] | 任越美,张艳宁,魏巍,张秀伟. 基于稀疏表示和词袋模型的高光谱图像分类 Classification of Hyperspectral Image Based on Sparse Representation and Bag of Words 计算机科学, 2014, 41(10): 113-116. https://doi.org/10.11896/j.issn.1002-137X.2014.10.026 |
| [12] | 田田,陈勇,刘天甲,赵鑫叶. 军事分析仿真评估系统模糊知识库研究 Research on Fuzzy Knowledge Base of Military Simulation and Analysis System 计算机科学, 2013, 40(Z11): 153-156. |
| [13] | 施光源,张宇. 基于模糊逻辑的数据分级存储模型研究 Research on Fuzzy Logic-based Model of Tiered Storage 计算机科学, 2013, 40(Z11): 284-287. |
| [14] | 罗海驰,李岳阳,孙俊. 一种基于自适应神经模糊推理系统的图像滤波方法 Filtering Method for Images Based on Adaptive Neuro-fuzzy Inference System 计算机科学, 2013, 40(7): 302-306. |
| [15] | 窦文阳,王小明,张立臣. 普适计算环境下的安全分布式访问控制系统研究 Research on Secure Distributed Access Control System for Ubiquitous Computing 计算机科学, 2013, 40(6): 132-137. |
|
||
首页