메뉴 건너뛰기




Volumn 21, Issue 8, 2009, Pages 1191-1204

Extracting takagi-sugeno fuzzy rules with interpretable submodels via regularization of linguistic modifiers

Author keywords

Distinguishability; Fuzziness; Interpretability; Knowledge extraction; Local models; Regularization; Submodels; Takagi Sugeno fuzzy models

Indexed keywords

DISTINGUISHABILITY; FUZZINESS; INTERPRETABILITY; KNOWLEDGE EXTRACTION; LOCAL MODELS; REGULARIZATION; SUBMODELS; TAKAGI-SUGENO FUZZY MODELS;

EID: 67651180561     PISSN: 10414347     EISSN: None     Source Type: Journal    
DOI: 10.1109/TKDE.2008.208     Document Type: Article
Times cited : (34)

References (45)
  • 1
    • 0021892282 scopus 로고
    • Fuzzy Identification of Systems and Its Applications to Modeling and Control
    • T. Takagi and M. Sugeno, "Fuzzy Identification of Systems and Its Applications to Modeling and Control," IEEE Trans. Systems, Man, and Cybernetics, vol. 15, no. 1, pp. 116-132, 1985.
    • (1985) IEEE Trans. Systems, Man, and Cybernetics , vol.15 , Issue.1 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 2
    • 0027601884 scopus 로고
    • ANFIS: Adaptive-Network-Based Fuzzy Inference System
    • J.-S.R. Jang, "ANFIS: Adaptive-Network-Based Fuzzy Inference System," IEEE Trans. Systems, Man, and Cybernetics, vol. 23, no. 3, pp. 665-685, 1993.
    • (1993) IEEE Trans. Systems, Man, and Cybernetics , vol.23 , Issue.3 , pp. 665-685
    • Jang, J.-S.R.1
  • 6
    • 0035360372 scopus 로고    scopus 로고
    • Designing Fuzzy Inference Systems from Data: An Interpretability-Oriented Review
    • S. Guillaume, "Designing Fuzzy Inference Systems from Data: An Interpretability-Oriented Review," IEEE Trans. Fuzzy Systems, vol. 9, no. 3, pp. 426-443, 2001.
    • (2001) IEEE Trans. Fuzzy Systems , vol.9 , Issue.3 , pp. 426-443
    • Guillaume, S.1
  • 7
    • 67651200973 scopus 로고    scopus 로고
    • On the Use of Multiobjective Genetic Algorithms to Improve the Accuracy-Interpretability Trade-Off of Fuzzy Rule-Based Systems
    • A. Ghosh, S. Dehuri, and S. Ghosh, eds, Springer Verlag
    • R. Alcalá, J. Alcalá-Fdez, M.J. Gacto, and F. Herrera, "On the Use of Multiobjective Genetic Algorithms to Improve the Accuracy-Interpretability Trade-Off of Fuzzy Rule-Based Systems," Multi-objective Evolutionary Algorithms for Knowledge Discovery from Data Base, A. Ghosh, S. Dehuri, and S. Ghosh, eds., vol. 98, Springer Verlag, 2008.
    • (2008) Multi-objective Evolutionary Algorithms for Knowledge Discovery from Data Base , vol.98
    • Alcalá, R.1    Alcalá-Fdez, J.2    Gacto, M.J.3    Herrera, F.4
  • 8
    • 33845982223 scopus 로고    scopus 로고
    • Evolutionary Stratified Training Set Selection for Extracting Classification Rules with Trade-Off Precision-Interpretability
    • J.R. Cano, F. Herrera, and M. Lozano, "Evolutionary Stratified Training Set Selection for Extracting Classification Rules with Trade-Off Precision-Interpretability," Data and Knowledge Eng., vol. 60, pp. 90-108, 2007.
    • (2007) Data and Knowledge Eng , vol.60 , pp. 90-108
    • Cano, J.R.1    Herrera, F.2    Lozano, M.3
  • 9
    • 0032205732 scopus 로고    scopus 로고
    • Improving the Interpret-ability of TSK Fuzzy Models by Combining Global Learning and Local Learning
    • J. Yen, L. Wang, and C.W. Gillespie, "Improving the Interpret-ability of TSK Fuzzy Models by Combining Global Learning and Local Learning," IEEE Trans. Fuzzy Systems, vol. 6, no. 4, pp. 530-537, 1998.
    • (1998) IEEE Trans. Fuzzy Systems , vol.6 , Issue.4 , pp. 530-537
    • Yen, J.1    Wang, L.2    Gillespie, C.W.3
  • 10
    • 52949088628 scopus 로고    scopus 로고
    • Low-Level Interpretability and High-Level Interpretability: A Unified View of Data-Driven Interpre-table Fuzzy System Modeling
    • S.-M. Zhou and J.Q. Gan, "Low-Level Interpretability and High-Level Interpretability: A Unified View of Data-Driven Interpre-table Fuzzy System Modeling," Fuzzy Sets and Systems, vol. 159, no. 23, pp. 3091-3131, 2008.
    • (2008) Fuzzy Sets and Systems , vol.159 , Issue.23 , pp. 3091-3131
    • Zhou, S.-M.1    Gan, J.Q.2
  • 11
    • 10944249572 scopus 로고    scopus 로고
    • Semantics-Preserving Dimensionality Reduction: Rough and Fuzzy-Rough-Based Approaches
    • Dec
    • R. Jensen and Q. Shen, "Semantics-Preserving Dimensionality Reduction: Rough and Fuzzy-Rough-Based Approaches," IEEE Trans. Knowledge and Data Eng., vol. 16, no. 12, pp. 1457-1471, Dec. 2004.
    • (2004) IEEE Trans. Knowledge and Data Eng , vol.16 , Issue.12 , pp. 1457-1471
    • Jensen, R.1    Shen, Q.2
  • 12
    • 0033704546 scopus 로고    scopus 로고
    • Fuzzy Modeling of High-Dimensional Systems: Complexity Reduction and Interpretability Improvement
    • Y. Jin, "Fuzzy Modeling of High-Dimensional Systems: Complexity Reduction and Interpretability Improvement," IEEE Trans. Fuzzy Systems, vol. 8, no. 2, pp. 212-221, 2000.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.2 , pp. 212-221
    • Jin, Y.1
  • 13
    • 33746369441 scopus 로고    scopus 로고
    • Transparent Decision Support Using Statistical Reasoning and Fuzzy Inference
    • Aug
    • A. Hamilton-Wright and D.W. Stashuk, "Transparent Decision Support Using Statistical Reasoning and Fuzzy Inference," IEEE Trans. Knowledge and Data Eng., vol. 18, no. 8, pp. 1125-1137, Aug. 2006.
    • (2006) IEEE Trans. Knowledge and Data Eng , vol.18 , Issue.8 , pp. 1125-1137
    • Hamilton-Wright, A.1    Stashuk, D.W.2
  • 14
    • 0035415950 scopus 로고    scopus 로고
    • Compact and Transparent Fuzzy Models and Classifiers through Iterative Complexity Reduction
    • H. Roubos and M. Setnes, "Compact and Transparent Fuzzy Models and Classifiers through Iterative Complexity Reduction," IEEE Trans. Fuzzy Systems, vol. 9, no. 4, pp. 516-524, 2001.
    • (2001) IEEE Trans. Fuzzy Systems , vol.9 , Issue.4 , pp. 516-524
    • Roubos, H.1    Setnes, M.2
  • 15
  • 16
    • 0032713743 scopus 로고    scopus 로고
    • Semantic Constraints for Membership Function Optimization
    • J.V. de Oliveira, "Semantic Constraints for Membership Function Optimization," IEEE Trans. Systems, Man, and Cybernetics - Part A, vol. 29, no. 1, pp. 128-138, 1999.
    • (1999) IEEE Trans. Systems, Man, and Cybernetics - Part A , vol.29 , Issue.1 , pp. 128-138
    • de Oliveira, J.V.1
  • 17
    • 0034297775 scopus 로고    scopus 로고
    • Constructing Fuzzy Models with Linguistic Integrity from Numerical Data-AFRELI Algorithm
    • J. Espinosa and J. Vandewalle, "Constructing Fuzzy Models with Linguistic Integrity from Numerical Data-AFRELI Algorithm," IEEE Trans. Fuzzy Systems, vol. 8, no. 5, pp. 591-600, 2000.
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.5 , pp. 591-600
    • Espinosa, J.1    Vandewalle, J.2
  • 19
    • 0346781550 scopus 로고    scopus 로고
    • Fuzzy Rule Selection by Multi-Objective Genetic Local Search Algorithms and Rule Evaluation Measures in Data Mining
    • H. Ishibuchi and T. Yamamoto, "Fuzzy Rule Selection by Multi-Objective Genetic Local Search Algorithms and Rule Evaluation Measures in Data Mining," Fuzzy Sets and Systems, vol. 141, no. 1, pp. 59-88, 2004.
    • (2004) Fuzzy Sets and Systems , vol.141 , Issue.1 , pp. 59-88
    • Ishibuchi, H.1    Yamamoto, T.2
  • 21
    • 67651200972 scopus 로고    scopus 로고
    • C.A. Penna-Reyes and M. Sipper, Fuzzy CoCo: Balancing Accuracy and Interpretability of Fuzzy Models by Means of Coevolution, Accuracy Improvements in Linguistic Fuzzy Modeling, J. Casillas, O. Cordon, F. Herrera, and L Magdalena, eds., 129 of Studies in Fuzziness and Soft Computing, pp. 119-146, Springer, 2003.
    • C.A. Penna-Reyes and M. Sipper, "Fuzzy CoCo: Balancing Accuracy and Interpretability of Fuzzy Models by Means of Coevolution," Accuracy Improvements in Linguistic Fuzzy Modeling, J. Casillas, O. Cordon, F. Herrera, and L Magdalena, eds., vol. 129 of Studies in Fuzziness and Soft Computing, pp. 119-146, Springer, 2003.
  • 23
    • 0024072828 scopus 로고
    • New Results in Fuzzy Clustering Based on the Concept of Indistinguishability Relation
    • May
    • R.L. de Mantaras and L. Valverde, "New Results in Fuzzy Clustering Based on the Concept of Indistinguishability Relation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 10, no. 5, pp. 754-757, May 1988.
    • (1988) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.10 , Issue.5 , pp. 754-757
    • de Mantaras, R.L.1    Valverde, L.2
  • 26
    • 0033718976 scopus 로고    scopus 로고
    • Local and Global Identification and Interpretation of Parameters in Takagi-Sugeno Fuzzy Models
    • J. Abonyi and R. Babuska, "Local and Global Identification and Interpretation of Parameters in Takagi-Sugeno Fuzzy Models," Proc. IEEE Int'l Conf. Fuzzy Systems (FUZZ-IEEE '00), pp. 835-840, 2000.
    • (2000) Proc. IEEE Int'l Conf. Fuzzy Systems (FUZZ-IEEE '00) , pp. 835-840
    • Abonyi, J.1    Babuska, R.2
  • 27
    • 0346076776 scopus 로고    scopus 로고
    • Multi-Objective Identification of Takagi-Sugeno Fuzzy Models
    • T.A. Johansen and R. Babuska, "Multi-Objective Identification of Takagi-Sugeno Fuzzy Models," IEEE Trans. Fuzzy Systems, vol. 11, no. 6, pp. 847-860, 2003.
    • (2003) IEEE Trans. Fuzzy Systems , vol.11 , Issue.6 , pp. 847-860
    • Johansen, T.A.1    Babuska, R.2
  • 28
    • 0033177739 scopus 로고    scopus 로고
    • Fuzzy Local Linearization and Local Basis Function Expansion in Nonlinear System Modeling
    • J.Q. Gan and C.J. Harris, "Fuzzy Local Linearization and Local Basis Function Expansion in Nonlinear System Modeling," IEEE Trans. Systems, Man, and Cybernetics - Part B, vol. 29, no. 4, pp. 559-565, 1999.
    • (1999) IEEE Trans. Systems, Man, and Cybernetics - Part B , vol.29 , Issue.4 , pp. 559-565
    • Gan, J.Q.1    Harris, C.J.2
  • 29
    • 0034153033 scopus 로고    scopus 로고
    • A Constrained Takagi-Sugeno Fuzzy System That Allows for Better Interpretation and Analysis
    • A. Fiordaliso, "A Constrained Takagi-Sugeno Fuzzy System That Allows for Better Interpretation and Analysis," Fuzzy Sets and Systems, vol. 118, pp. 307-318, 2001.
    • (2001) Fuzzy Sets and Systems , vol.118 , pp. 307-318
    • Fiordaliso, A.1
  • 32
    • 18544378721 scopus 로고    scopus 로고
    • Agent-Based Evolutionary Approach to Interpretable Rule-Based Knowledge Extraction
    • H. Wang, S. Kwong, Y. Jin, W. Wei, and K. Man, "Agent-Based Evolutionary Approach to Interpretable Rule-Based Knowledge Extraction," IEEE Trans. Systems, Man, and Cybernetics - Part C, vol. 29, no. 2, pp. 143-155, 2005.
    • (2005) IEEE Trans. Systems, Man, and Cybernetics - Part C , vol.29 , Issue.2 , pp. 143-155
    • Wang, H.1    Kwong, S.2    Jin, Y.3    Wei, W.4    Man, K.5
  • 33
    • 33749665256 scopus 로고    scopus 로고
    • Distinguishability Quantification of Fuzzy Sets
    • C. Mencar, G. Castellano, and A.M. Fanelli, "Distinguishability Quantification of Fuzzy Sets," Information Sciences, vol. 177, pp. 130-149, 2007.
    • (2007) Information Sciences , vol.177 , pp. 130-149
    • Mencar, C.1    Castellano, G.2    Fanelli, A.M.3
  • 34
    • 34547828776 scopus 로고    scopus 로고
    • Comments on 'Distinguishability Quantification of Fuzzy Sets'
    • H.A. Hefny, "Comments on 'Distinguishability Quantification of Fuzzy Sets'," Information Sciences, 2007.
    • (2007) Information Sciences
    • Hefny, H.A.1
  • 36
    • 0030405125 scopus 로고    scopus 로고
    • Designing Fuzzy Logic Systems for Uncertain Environments Using a Singular-Value-QR Decomposition Method
    • 96, pp
    • G.C. Mouzouris and J.M. Mendel, "Designing Fuzzy Logic Systems for Uncertain Environments Using a Singular-Value-QR Decomposition Method," Proc. Fifth IEEE Int'l Conf. Fuzzy Systems (FUZZ-IEEE '96), pp. 295-301, 1996.
    • (1996) Proc. Fifth IEEE Int'l Conf. Fuzzy Systems (FUZZ-IEEE , pp. 295-301
    • Mouzouris, G.C.1    Mendel, J.M.2
  • 37
    • 0035325345 scopus 로고    scopus 로고
    • Rule Base Reduction: Some Comments on the Use of Orthogonal Transforms
    • M. Setnes and R. Babuska, "Rule Base Reduction: Some Comments on the Use of Orthogonal Transforms," IEEE Trans. Systems, Man, and Cybernetics - Part C, vol. 31, no. 2, pp. 199-206, 2001.
    • (2001) IEEE Trans. Systems, Man, and Cybernetics - Part C , vol.31 , Issue.2 , pp. 199-206
    • Setnes, M.1    Babuska, R.2
  • 38
    • 33644974692 scopus 로고    scopus 로고
    • Constructing Accurate and Parsimonious Fuzzy Models with Distinguishable Fuzzy Sets Based on an Entropy Measure
    • S.-M. Zhou and J.Q. Gan, "Constructing Accurate and Parsimonious Fuzzy Models with Distinguishable Fuzzy Sets Based on an Entropy Measure," Fuzzy Sets and Systems, vol. 157, no. 8, pp. 1057-1074, 2006.
    • (2006) Fuzzy Sets and Systems , vol.157 , Issue.8 , pp. 1057-1074
    • Zhou, S.-M.1    Gan, J.Q.2
  • 40
    • 0015340630 scopus 로고
    • A Definition of Non-Probabilistic Entropy in the Setting of Fuzzy Set Theory
    • A. De Luca and S. Termini, "A Definition of Non-Probabilistic Entropy in the Setting of Fuzzy Set Theory," Information Control, vol. 20, pp. 301-312, 1972.
    • (1972) Information Control , vol.20 , pp. 301-312
    • De Luca, A.1    Termini, S.2
  • 41
    • 0032136218 scopus 로고    scopus 로고
    • Application of Statistical Information Criteria for Optimal Fuzzy Model Construction
    • J. Yen and L. Wang, "Application of Statistical Information Criteria for Optimal Fuzzy Model Construction," IEEE Trans. Fuzzy Systems, vol. 6, no. 3, pp. 362-372, 1998.
    • (1998) IEEE Trans. Fuzzy Systems , vol.6 , Issue.3 , pp. 362-372
    • Yen, J.1    Wang, L.2
  • 42
    • 67651184746 scopus 로고    scopus 로고
    • S.-M. Zhou and J.Q. Gan, An Unsupervised Kernel Based Fuzzy c-Means Clustering Algorithm with Kernel Normalization, Int'l J. Computational Intelligence and Applications, 4, no. 4, pp. 355-373, 2004.
    • S.-M. Zhou and J.Q. Gan, "An Unsupervised Kernel Based Fuzzy c-Means Clustering Algorithm with Kernel Normalization," Int'l J. Computational Intelligence and Applications, vol. 4, no. 4, pp. 355-373, 2004.
  • 43
    • 0000672424 scopus 로고
    • Fast Learning in Networks of Locally-Tuned Processing Units
    • M.J. Moody and C.J. Darken, "Fast Learning in Networks of Locally-Tuned Processing Units," Neural Computation, vol. 1, no. 2, pp. 281-294, 1989.
    • (1989) Neural Computation , vol.1 , Issue.2 , pp. 281-294
    • Moody, M.J.1    Darken, C.J.2
  • 44
    • 0030826840 scopus 로고    scopus 로고
    • Nonlinear Identification and Control of a Heat Exchanger: A Neural Network Approach
    • S. Bittanti and L. Piroddi, "Nonlinear Identification and Control of a Heat Exchanger: A Neural Network Approach," J. Franklin Inst., vol. 334, no. 1, pp. 135-153, 1997.
    • (1997) J. Franklin Inst , vol.334 , Issue.1 , pp. 135-153
    • Bittanti, S.1    Piroddi, L.2
  • 45
    • 0001261682 scopus 로고
    • Tracking Unstable Orbits in Chaos Using Dissipative Feedback Control
    • N.F. Rulkov, L.S. Tsimring, and H.D.I. Abarbanel, "Tracking Unstable Orbits in Chaos Using Dissipative Feedback Control," Physical Rev. E, vol. 50, no. 1, pp. 314-324, 1994.
    • (1994) Physical Rev. E , vol.50 , Issue.1 , pp. 314-324
    • Rulkov, N.F.1    Tsimring, L.S.2    Abarbanel, H.D.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.