메뉴 건너뛰기




Volumn 20, Issue 5, 2012, Pages 939-956

Enhanced centroid-flow algorithm for computing the centroid of general type-2 fuzzy sets

Author keywords

Centroid; Centroid flow(CF) algorithm; enhanced centroid flow (ECF) algorithm; Enhanced Karnik Mendel (EKM) algorithms; General type 2 fuzzy sets; Karnik Mendel algorithms

Indexed keywords

ACCUMULATIVE ERRORS; APPROXIMATION ERRORS; CENTROID; COMPUTATIONAL ACCURACY; THEORETICAL VALUES; TYPE-2 FUZZY SET;

EID: 84867351928     PISSN: 10636706     EISSN: None     Source Type: Journal    
DOI: 10.1109/TFUZZ.2012.2190075     Document Type: Article
Times cited : (32)

References (34)
  • 2
    • 0242689393 scopus 로고    scopus 로고
    • On fuzzy-valued fuzzy reasoning
    • Q. Chen and S. Kawase, "On fuzzy-valued fuzzy reasoning," Fuzzy Sets Syst., vol. 113, pp. 237-251, 2000.
    • (2000) Fuzzy Sets Syst. , vol.113 , pp. 237-251
    • Chen, Q.1    Kawase, S.2
  • 4
    • 11144305921 scopus 로고    scopus 로고
    • A new and efficient method for the type-2 meet operation
    • 2004 IEEE International Conference on Fuzzy Systems - Proceedings
    • S. Coupland and R. I. John, "A new and efficient method for the type-2 meet operation," in Proc. IEEE Int. Conf. Fuzzy Syst., Budapest, Hungary, 2004, pp. 959-964. (Pubitemid 40028028)
    • (2004) IEEE International Conference on Fuzzy Systems , vol.2 , pp. 959-964
    • Coupland, S.1    John, R.2
  • 5
    • 23944485238 scopus 로고    scopus 로고
    • Towards more efficient type-2 fuzzy logic systems
    • Proceedings of the IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2005
    • S. Coupland and R. I. John, "Towards more efficient type-2 fuzzy logic systems," in Proc. IEEE Int. Conf. Fuzzy Syst., Reno, NV, 2005, pp. 236- 241. (Pubitemid 41189513)
    • (2005) IEEE International Conference on Fuzzy Systems , pp. 236-241
    • Coupland, S.1    John, R.2
  • 6
    • 33947398449 scopus 로고    scopus 로고
    • Geometric type-1 and type-2 fuzzy logic systems
    • DOI 10.1109/TFUZZ.2006.889764, Extensions of Type-1 Fuzzy Sets
    • S. Coupland and R. I. John, "Geometric type-1 and type-2 fuzzy logic systems," IEEE Trans. Fuzzy Syst., vol. 15, no. 1, pp. 3-15, Feb. 2007. (Pubitemid 46444300)
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.1 , pp. 3-15
    • Coupland, S.1    John, R.2
  • 7
    • 50549086336 scopus 로고    scopus 로고
    • Optimized generalized type-2 join and meet
    • London, U.K.
    • S. Greenfield and R. I. John, "Optimized generalized type-2 join and meet," in Proc. IEEE Int. Conf. Fuzzy Syst., London, U.K., 2007, pp. 141- 146.
    • (2007) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 141-146
    • Greenfield, S.1    John, R.I.2
  • 10
    • 0033280070 scopus 로고    scopus 로고
    • An adaptive type-2 fuzzy system for learning linguistic membership grades
    • Seoul, Korea
    • R. I. John and C. Czarnecki, "An adaptive type-2 fuzzy system for learning linguistic membership grades," in Proc. IEEE Int. Conf. Fuzzy Syst., Seoul, Korea, 1999, pp. 1552-1556.
    • (1999) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 1552-1556
    • John, R.I.1    Czarnecki, C.2
  • 11
    • 0031618313 scopus 로고    scopus 로고
    • Introduction to type-2 fuzzy logic systems
    • Anchorage, AK
    • N. N. Karnik and J. M. Mendel, "Introduction to type-2 fuzzy logic systems," in Proc. IEEE Int. Conf. Fuzzy Syst., Anchorage, AK, 1998, pp. 915-920.
    • (1998) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 915-920
    • Karnik, N.N.1    Mendel, J.M.2
  • 12
    • 0035247535 scopus 로고    scopus 로고
    • Centroid of a type-2 fuzzy set
    • DOI 10.1016/S0020-0255(01)00069-X, PII S002002550100069X
    • N. N. Karnik and J.M. Mendel, "Centroid of a type-2 fuzzy set," Inf. Sci., vol. 132, pp. 195-220, 2001. (Pubitemid 32273094)
    • (2001) Information Sciences , vol.132 , Issue.1-4 , pp. 195-220
    • Karnik, N.N.1    Mendel, J.M.2
  • 14
    • 39749103791 scopus 로고    scopus 로고
    • An efficient centroid type reduction strategy for general type-2 fuzzy logic system
    • F. Liu, "An efficient centroid type reduction strategy for general type-2 fuzzy logic system," Inf. Sci., vol. 178, pp. 2224-2236, 2008.
    • (2008) Inf. Sci. , vol.178 , pp. 2224-2236
    • Liu, F.1
  • 15
    • 58149502179 scopus 로고    scopus 로고
    • Encoding words into interval type-2 fuzzy sets using an interval approach
    • Dec
    • F. Liu and J. M. Mendel, "Encoding words into interval type-2 fuzzy sets using an interval approach," IEEE Trans. Fuzzy Syst., vol. 16, no. 6, pp. 1503-1521, Dec. 2008.
    • (2008) IEEE Trans. Fuzzy Syst. , vol.16 , Issue.6 , pp. 1503-1521
    • Liu, F.1    Mendel, J.M.2
  • 16
    • 80051540079 scopus 로고    scopus 로고
    • Connect Karnik-Mendel algorithms to rootfinding for computing the centroid of an interval type-2 fuzzy set
    • Aug
    • X. Liu and J. M. Mendel, "Connect Karnik-Mendel algorithms to rootfinding for computing the centroid of an interval type-2 fuzzy set," IEEE Trans. Fuzzy Syst., vol. 19, no. 4, pp. 652-665, Aug. 2011.
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.4 , pp. 652-665
    • Liu, X.1    Mendel, J.M.2
  • 17
    • 50249182184 scopus 로고    scopus 로고
    • General type-2 inference systems: Analysis, design and computational aspects
    • London, U.K.
    • L. A. Lucas, T.M. Centeno, and R.M. Delgado, "General type-2 inference systems: Analysis, design and computational aspects," in Proc. IEEE Int. Conf. Fuzzy Syst., London, U.K., 2007, pp. 1107-1112.
    • (2007) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 1107-1112
    • Lucas, L.A.1    Centeno, T.M.2    Delgado, R.M.3
  • 19
    • 0036530350 scopus 로고    scopus 로고
    • Type-2 fuzzy sets made simple
    • DOI 10.1109/91.995115, PII S1063670602029600
    • J. M. Mendel and R. I. John, "Type-2 fuzzy sets made simple," IEEE Trans. Fuzzy Syst., vol. 10, no. 2, pp. 117-127, Apr. 2002. (Pubitemid 34554858)
    • (2002) IEEE Transactions on Fuzzy Systems , vol.10 , Issue.2 , pp. 117-127
    • Mendel, J.M.1    John, R.I.B.2
  • 20
    • 34147170360 scopus 로고    scopus 로고
    • Super-exponential convergence of the Karnik-Mendel algorithms for computing the centroid of an interval type-2 fuzzy set
    • DOI 10.1109/TFUZZ.2006.882463
    • J. M. Mendel and F. Liu, "Super-exponential convergence of the Karnik- Mendel algorithms for computing the centroid of an interval type-2 fuzzy set," IEEE Trans. Fuzzy Syst., vol. 15, no. 2, pp. 309-320, Apr. 2007. (Pubitemid 46563430)
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.2 , pp. 309-320
    • Mendel, J.M.1    Liu, F.2
  • 21
    • 70350064580 scopus 로고    scopus 로고
    • α-Plane representation for type-2 fuzzy sets: Theory and applications
    • Oct
    • J. M. Mendel, F. Liu, and D. Zhai, "α-plane representation for type-2 fuzzy sets: Theory and applications," IEEE Trans. Fuzzy Syst., vol. 17, no. 5, pp. 1189-1207, Oct. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.5 , pp. 1189-1207
    • Mendel, J.M.1    Liu, F.2    Zhai, D.3
  • 22
    • 33751119439 scopus 로고    scopus 로고
    • Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 1, forward problems
    • DOI 10.1109/TFUZZ.2006.881441
    • J. M. Mendel and H. Wu, "Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: Part 1, forward problems," IEEE Trans. Fuzzy Syst., vol. 14, no. 6, pp. 781-792, Dec. 2006. (Pubitemid 46432458)
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.6 , pp. 781-792
    • Mendel, J.M.1    Wu, H.2
  • 23
    • 33750318294 scopus 로고    scopus 로고
    • New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule
    • DOI 10.1016/j.ins.2006.03.003, PII S0020025506000752
    • J. M. Mendel and H. Wu, "New results about the centroid of an interval type-2 fuzzy set, including the centroid of a fuzzy granule," Inf. Sci., vol. 177, no. 2, pp. 360-377, 2007. (Pubitemid 44634440)
    • (2007) Information Sciences , vol.177 , Issue.2 , pp. 360-377
    • Mendel, J.M.1    Wu, H.2
  • 24
    • 34250694436 scopus 로고    scopus 로고
    • Extended triangular norms on Gaussian fuzzy sets
    • Barcelona, Spain
    • J. T. Starczewski, "Extended triangular norms on Gaussian fuzzy sets," in Proc. Conf. Soc. Fuzzy Logic Technol., Barcelona, Spain, 2005, pp. 872- 877.
    • (2005) Proc. Conf. Soc. Fuzzy Logic Technol. , pp. 872-877
    • Starczewski, J.T.1
  • 27
    • 55249098134 scopus 로고    scopus 로고
    • Z slices-Towards bridging the gap between interval and general type-2 fuzzy logic
    • Hong Kong, China
    • C. Wagner and H. Hagras, "z slices - Towards bridging the gap between interval and general type-2 fuzzy logic," in Proc. IEEE Int. Conf. Fuzzy Syst., Hong Kong, China, 2008, pp. 489-497.
    • (2008) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 489-497
    • Wagner, C.1    Hagras, H.2
  • 28
    • 71249131372 scopus 로고    scopus 로고
    • Z-slices based general type-2 FLC for the control of autonomous mobile robots in real world environments
    • Jeju Island, Korea
    • C. Wagner and H. Hagras, "z-slices based general type-2 FLC for the control of autonomous mobile robots in real world environments," in Proc. IEEE Int. Conf. Fuzzy Syst., Jeju Island, Korea, 2009, pp. 718-725.
    • (2009) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 718-725
    • Wagner, C.1    Hagras, H.2
  • 29
    • 77955479411 scopus 로고    scopus 로고
    • Toward general type-2 fuzzy logic systems based on zslices
    • Aug
    • C. Wagner and H. Hagras, "Toward general type-2 fuzzy logic systems based on zslices," IEEE Trans. Fuzzy Syst., vol. 18, no. 14, pp. 643-658, Aug. 2010.
    • (2010) IEEE Trans. Fuzzy Syst. , vol.18 , Issue.14 , pp. 643-658
    • Wagner, C.1    Hagras, H.2
  • 30
    • 68849106521 scopus 로고    scopus 로고
    • Enhanced Karnik-Mendel algorithms
    • Aug
    • D. Wu and J. M. Mendel, "Enhanced Karnik-Mendel algorithms," IEEE Trans. Fuzzy Syst., vol. 17, no. 4, pp. 923-934, Aug. 2009.
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , Issue.4 , pp. 923-934
    • Wu, D.1    Mendel, J.M.2
  • 31
    • 79953667230 scopus 로고    scopus 로고
    • An enhanced type-reduction algorithm for type-2 fuzzy sets
    • Apr.
    • C.-Y. Yeh, W.-H. R. Jeng, and S.-J. Lee, "An enhanced type-reduction algorithm for type-2 fuzzy sets," IEEE Trans. Fuzzy Syst., vol. 19, no. 2, pp. 227-240, Apr. 2011.
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.2 , pp. 227-240
    • Yeh, C.-Y.1    Jeng, W.-H.R.2    Lee, S.-J.3
  • 32
    • 78549287855 scopus 로고    scopus 로고
    • Centroid of a general type-2 fuzzy set computed by means of the centroid-flow algorithm
    • Barcelona, Spain
    • D. Zhai and J. M. Mendel, "Centroid of a general type-2 fuzzy set computed by means of the centroid-flow algorithm," in Proc. IEEE Int. Conf. Fuzzy Syst., Barcelona, Spain, 2010, pp. 1-8.
    • (2010) Proc. IEEE Int. Conf. Fuzzy Syst. , pp. 1-8
    • Zhai, D.1    Mendel, J.M.2
  • 33
    • 79958014397 scopus 로고    scopus 로고
    • Computing the centroid of a general type-2 fuzzy set by means of the centroid-flow algorithm
    • Jun
    • D. Zhai and J. M. Mendel, "Computing the centroid of a general type-2 fuzzy set by means of the centroid-flow algorithm," IEEE Trans. Fuzzy Syst., vol. 19, no. 2, pp. 401-422, Jun. 2011.
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , Issue.2 , pp. 401-422
    • Zhai, D.1    Mendel, J.M.2
  • 34
    • 78449270262 scopus 로고    scopus 로고
    • Uncertainty measures for general type-2 fuzzy sets
    • D. Zhai and J.M. Mendel, "Uncertainty measures for general type-2 fuzzy sets," Inf. Sci., vol. 181, no. 3, pp. 503-518, 2011.
    • (2011) Inf. Sci. , vol.181 , Issue.3 , pp. 503-518
    • Zhai, D.1    Mendel, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.