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Volumn 184, Issue 1, 2012, Pages 75-91

Study on enhanced Karnik-Mendel algorithms: Initialization explanations and computation improvements

Author keywords

Centroid computation; Enhanced Karnik Mendel (EKM) algorithms; Interval type 2 fuzzy set (IT2 FS); Numerical integration; Weighted EKM (WEKM) algorithms

Indexed keywords

CENTROID COMPUTATION; ENHANCED KARNIK-MENDEL (EKM) ALGORITHMS; INTERVAL TYPE-2 FUZZY SETS; NUMERICAL INTEGRATIONS; WEIGHTED EKM (WEKM) ALGORITHMS;

EID: 80055039972     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.07.042     Document Type: Article
Times cited : (77)

References (28)
  • 2
  • 3
    • 0037117196 scopus 로고    scopus 로고
    • Fuzzy weighted averages revisited
    • S.M. Guu Fuzzy weighted averages revisited Fuzzy Sets and Systems 126 3 2002 411 414
    • (2002) Fuzzy Sets and Systems , vol.126 , Issue.3 , pp. 411-414
    • Guu, S.M.1
  • 4
    • 34248231350 scopus 로고    scopus 로고
    • Type-2 fuzzy logic: A historical view
    • DOI 10.1109/MCI.2007.357194
    • R.I. John, and S. Coupland Type-2 fuzzy logic: a historical view IEEE Computational Intelligence Magazine 2 1 2007 57 62 (Pubitemid 46718758)
    • (2007) IEEE Computational Intelligence Magazine , vol.2 , Issue.1 , pp. 57-62
    • John, R.1    Coupland, S.2
  • 5
    • 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 Information Sciences 132 1-4 2001 195 220 (Pubitemid 32273094)
    • (2001) Information Sciences , vol.132 , Issue.1-4 , pp. 195-220
    • Karnik, N.N.1    Mendel, J.M.2
  • 6
    • 0031124830 scopus 로고    scopus 로고
    • An efficient algorithm for fuzzy weighted average
    • D.H. Lee, and D.H. Park An efficient algorithm for fuzzy weighted average Fuzzy Sets and Systems 87 1 1997 39 45
    • (1997) Fuzzy Sets and Systems , vol.87 , Issue.1 , pp. 39-45
    • Lee, D.H.1    Park, D.H.2
  • 7
    • 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 Information Sciences 178 9 2008 2224 2236
    • (2008) Information Sciences , vol.178 , Issue.9 , pp. 2224-2236
    • Liu, F.1
  • 8
    • 40549114013 scopus 로고    scopus 로고
    • Aggregation using the fuzzy weighted average as computed by the Karnik-Mendel algorithms
    • DOI 10.1109/TFUZZ.2007.896229
    • F. Liu, and J.M. Mendel Aggregation using the fuzzy weighted average as computed by the Karnik-Mendel algorithms IEEE Transactions on Fuzzy Systems 16 1 2008 1 12 (Pubitemid 351359124)
    • (2008) IEEE Transactions on Fuzzy Systems , vol.16 , Issue.1 , pp. 1-12
    • Liu, F.1    Mendel, J.M.2
  • 11
    • 1542273540 scopus 로고    scopus 로고
    • Computing derivatives in interval type-2 fuzzy logic systems
    • J.M. Mendel Computing derivatives in interval type-2 fuzzy logic systems IEEE Transactions on Fuzzy Systems 12 1 2004 84 98
    • (2004) IEEE Transactions on Fuzzy Systems , vol.12 , Issue.1 , pp. 84-98
    • Mendel, J.M.1
  • 12
    • 33751254756 scopus 로고    scopus 로고
    • Computing with words and its relationships with fuzzistics
    • DOI 10.1016/j.ins.2006.06.008, PII S002002550600154X
    • J.M. Mendel Computing with words and its relationships with fuzzistics Information Sciences 177 4 2007 988 1006 (Pubitemid 44791318)
    • (2007) Information Sciences , vol.177 , Issue.4 , pp. 988-1006
    • Mendel, J.M.1
  • 13
    • 67650991821 scopus 로고    scopus 로고
    • On answering the question 'where do i start in order to solve a new problem involving interval type-2 fuzzy sets?
    • J.M. Mendel On answering the question 'where do I start in order to solve a new problem involving interval type-2 fuzzy sets?' Information Sciences 179 19 2009 3418 3431
    • (2009) Information Sciences , vol.179 , Issue.19 , pp. 3418-3431
    • Mendel, J.M.1
  • 14
    • 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 Transactions on Fuzzy Systems 10 2 2002 117 127 (Pubitemid 34554858)
    • (2002) IEEE Transactions on Fuzzy Systems , vol.10 , Issue.2 , pp. 117-127
    • Mendel, J.M.1    John, R.I.B.2
  • 15
    • 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 Transactions on Fuzzy Systems 15 2 2007 309 320 (Pubitemid 46563430)
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.2 , pp. 309-320
    • Mendel, J.M.1    Liu, F.2
  • 16
    • 70350064580 scopus 로고    scopus 로고
    • α-plane representation for type-2 fuzzy sets: Theory and applications
    • J.M. Mendel, F. Liu, and D. Zhai α-plane representation for type-2 fuzzy sets: theory and applications IEEE Transactions on Fuzzy Systems 17 5 2009 1189 1207
    • (2009) IEEE Transactions on Fuzzy Systems , vol.17 , Issue.5 , pp. 1189-1207
    • Mendel, J.M.1    Liu, F.2    Zhai, D.3
  • 18
    • 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 Transactions on Fuzzy Systems 14 6 2006 781 792 (Pubitemid 46432458)
    • (2006) IEEE Transactions on Fuzzy Systems , vol.14 , Issue.6 , pp. 781-792
    • Mendel, J.M.1    Wu, H.2
  • 19
    • 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 Information Sciences 177 2 2007 360 377 (Pubitemid 44634440)
    • (2007) Information Sciences , vol.177 , Issue.2 , pp. 360-377
    • Mendel, J.M.1    Wu, H.2
  • 20
    • 77955479411 scopus 로고    scopus 로고
    • Toward general type-2 fuzzy logic systems based on zslices
    • C. Wagner, and H. Hagras Toward general type-2 fuzzy logic systems based on zslices IEEE Transactions on Fuzzy Systems 18 4 2010 637 660
    • (2010) IEEE Transactions on Fuzzy Systems , vol.18 , Issue.4 , pp. 637-660
    • Wagner, C.1    Hagras, H.2
  • 22
    • 37249034197 scopus 로고    scopus 로고
    • Aggregation using the linguistic weighted average and interval type-2 fuzzy sets
    • DOI 10.1109/TFUZZ.2007.896325, Special Issue on Aggregation Operators
    • D. Wu, and J.M. Mendel Aggregation using the linguistic weighted average and interval type-2 fuzzy sets IEEE Transactions on Fuzzy Systems 15 6 2007 1145 1161 (Pubitemid 350268645)
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , Issue.6 , pp. 1145-1161
    • Wu, D.1    Mendel, J.M.2
  • 23
    • 34548605210 scopus 로고    scopus 로고
    • Uncertainty measures for interval type-2 fuzzy sets
    • DOI 10.1016/j.ins.2007.07.012, PII S002002550700357X, Including: Mathematics of Uncertainty
    • D. Wu, and J.M. Mendel Uncertainty measures for interval type-2 fuzzy sets Information Sciences 177 23 2007 5378 5393 (Pubitemid 47409992)
    • (2007) Information Sciences , vol.177 , Issue.23 , pp. 5378-5393
    • Wu, D.1    Mendel, J.M.2
  • 25
    • 72649101845 scopus 로고    scopus 로고
    • Perceptual reasoning for perceptual computing: A similarity-based approach
    • D. Wu, and J.M. Mendel Perceptual reasoning for perceptual computing: a similarity-based approach IEEE Transactions on Fuzzy Systems 17 6 2009 1397 1411
    • (2009) IEEE Transactions on Fuzzy Systems , vol.17 , Issue.6 , pp. 1397-1411
    • Wu, D.1    Mendel, J.M.2
  • 26
    • 77953115065 scopus 로고    scopus 로고
    • Computing with words for hierarchical decision making applied to evaluating a weapon system
    • D.R. Wu, and J.M. Mendel Computing with words for hierarchical decision making applied to evaluating a weapon system IEEE Transactions On Fuzzy Systems 18 3 2010 441 460
    • (2010) IEEE Transactions on Fuzzy Systems , vol.18 , Issue.3 , pp. 441-460
    • Wu, D.R.1    Mendel, J.M.2
  • 27
    • 79953667230 scopus 로고    scopus 로고
    • An enhanced type-reduction algorithm for type-2 fuzzy sets
    • C.Y. Yeh, W.H.R. Jeng, and S.J. Lee An enhanced type-reduction algorithm for type-2 fuzzy sets IEEE Transactions on Fuzzy Systems 19 2 2011 227 240
    • (2011) IEEE Transactions on Fuzzy Systems , vol.19 , Issue.2 , pp. 227-240
    • Yeh, C.Y.1    Jeng, W.H.R.2    Lee, S.J.3
  • 28
    • 78449270262 scopus 로고    scopus 로고
    • Uncertainty measures for general type-2 fuzzy sets
    • D.Y. Zhai, and J.M. Mendel Uncertainty measures for general type-2 fuzzy sets Information Sciences 181 3 2011 503 518
    • (2011) Information Sciences , vol.181 , Issue.3 , pp. 503-518
    • Zhai, D.Y.1    Mendel, J.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.