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Volumn 187, Issue 1, 2012, Pages 151-170

Analytical solution methods for the fuzzy weighted average

Author keywords

Cut method; Analytical solution; Fuzzy weighted average (FWA); Karnik Mendel (KM) algorithm

Indexed keywords

ANALYTICAL SOLUTIONS; EFFICIENT COMPUTATION; FUZZY WEIGHTED AVERAGE; NUMERICAL EXAMPLE; SOLUTION ALGORITHMS;

EID: 84155172891     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2011.10.006     Document Type: Article
Times cited : (31)

References (36)
  • 3
    • 70349451945 scopus 로고    scopus 로고
    • Applying fuzzy weighted average approach to evaluate office layouts with Feng-Shui consideration
    • P.T. Chang, J.H. Lee, K.C. Hung, J.T. Tsai, and C. Perng Applying fuzzy weighted average approach to evaluate office layouts with Feng-Shui consideration Mathematical and Computer Modelling 50 9-10 2009 1514 1537
    • (2009) Mathematical and Computer Modelling , vol.50 , Issue.910 , pp. 1514-1537
    • Chang, P.T.1    Lee, J.H.2    Hung, K.C.3    Tsai, J.T.4    Perng, C.5
  • 4
    • 33746841078 scopus 로고    scopus 로고
    • Rating technical attributes in fuzzy QFD by integrating fuzzy weighted average method and fuzzy expected value operator
    • DOI 10.1016/j.ejor.2004.12.026, PII S0377221705002985
    • Y.Z. Chen, R.Y.K. Fung, and J.F. Tang Rating technical attributes in fuzzy QFD by integrating fuzzy weighted average method and fuzzy expected value operator European Journal of Operational Research 174 3 2006 1553 1566 (Pubitemid 44176267)
    • (2006) European Journal of Operational Research , vol.174 , Issue.3 , pp. 1553-1566
    • Chen, Y.1    Fung, R.Y.K.2    Tang, J.3
  • 5
    • 16444375607 scopus 로고
    • Fuzzy weighted averages and implementation of the extension principle
    • W.M. Dong, and F.S. Wong Fuzzy weighted averages and implementation of the extension principle Fuzzy Sets and Systems 21 1987 183 199
    • (1987) Fuzzy Sets and Systems , vol.21 , pp. 183-199
    • Dong, W.M.1    Wong, F.S.2
  • 6
    • 76349099332 scopus 로고    scopus 로고
    • Application of fuzzy calculations for improving portfolio matrices
    • S. Ghazinoory, A.E. Zadeh, and A.S. Kheirkhah Application of fuzzy calculations for improving portfolio matrices Information Sciences 180 9 2010 1582 1590
    • (2010) Information Sciences , vol.180 , Issue.9 , pp. 1582-1590
    • Ghazinoory, S.1    Zadeh, A.E.2    Kheirkhah, A.S.3
  • 7
    • 0035208792 scopus 로고    scopus 로고
    • Fuzzy weighted average: The linear programming approach via Charnes and Cooper's rule
    • Y.Y. Guh, C.C. Hon, and E.S. Lee Fuzzy weighted average: The linear programming approach via Charnes and Cooper's rule Fuzzy Sets and Systems 117 1 2001 157 160
    • (2001) Fuzzy Sets and Systems , vol.117 , Issue.1 , pp. 157-160
    • Guh, Y.Y.1    Hon, C.C.2    Lee, E.S.3
  • 8
    • 0030257456 scopus 로고    scopus 로고
    • Fuzzy weighted average: A max-min paired elimination method
    • DOI 10.1016/0898-1221(96)00171-X
    • Y.Y. Guh, C.C. Hon, K.M. Wang, and E.S. Lee Fuzzy weighted average: a max-min paired elimination method Computers and Mathematics with Applications 32 8 1996 115 123 (Pubitemid 126371126)
    • (1996) Computers and Mathematics with Applications , vol.32 , Issue.8 , pp. 115-123
    • Guh, Y.-Y.1    Hon, C.-C.2    Wang, K.-M.3    Lee, E.S.4
  • 9
    • 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
  • 11
    • 77958173366 scopus 로고    scopus 로고
    • A new algorithm for computing the fuzzy weighted average
    • H.Z. Hu, M.J. Gao, and H. Zhang A new algorithm for computing the fuzzy weighted average IEICE Electronics Express 7 19 2010 1423 1428
    • (2010) IEICE Electronics Express , vol.7 , Issue.19 , pp. 1423-1428
    • Hu, H.Z.1    Gao, M.J.2    Zhang, H.3
  • 12
    • 70349567618 scopus 로고    scopus 로고
    • A decision support system for engineering design based on an enhanced fuzzy MCDM approach
    • K.C. Hung, P. Julian, T. Chien, and W.T.H. Jin A decision support system for engineering design based on an enhanced fuzzy MCDM approach Expert Systems With Applications 37 1 2010 202 213
    • (2010) Expert Systems with Applications , vol.37 , Issue.1 , pp. 202-213
    • Hung, K.C.1    Julian, P.2    Chien, T.3    Jin, W.T.H.4
  • 13
    • 0035371895 scopus 로고    scopus 로고
    • Fractional programming approach to fuzzy weighted average
    • PII S0165011499001372
    • C. Kao, and S.T. Liu Fractional programming approach to fuzzy weighted average Fuzzy Sets and Systems 120 3 2001 435 444 (Pubitemid 32372297)
    • (2001) Fuzzy Sets and Systems , vol.120 , Issue.2 , pp. 435-444
    • Kao, C.1    Liu, S.-T.2
  • 14
    • 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
  • 15
    • 37249071737 scopus 로고    scopus 로고
    • Evaluation of driver satisfaction of travel information on variable message signs using fuzzy aggregation
    • D. Lee, C. Lee, and M.T. Pietrucha Evaluation of driver satisfaction of travel information on variable message signs using fuzzy aggregation Journal of Advanced Transportation 42 1 2008 5 22 (Pubitemid 350280429)
    • (2008) Journal of Advanced Transportation , vol.42 , Issue.1 , pp. 5-22
    • Lee, D.1    Lee, C.2    Pietrucha, M.T.3
  • 16
    • 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
  • 17
    • 27844498282 scopus 로고    scopus 로고
    • Application of the fuzzy weighted average in strategic portfolio management
    • C.H. Lin, B. Tan, and P.J. Hsieh Application of the fuzzy weighted average in strategic portfolio management Decision Sciences 36 3 2005 489 511
    • (2005) Decision Sciences , vol.36 , Issue.3 , pp. 489-511
    • Lin, C.H.1    Tan, B.2    Hsieh, P.J.3
  • 18
    • 0026900521 scopus 로고
    • Fuzzy weighted average - An improved algorithm
    • T.S. Liou, and M.J.J. Wang Fuzzy weighted average - an improved algorithm Fuzzy Sets and Systems 49 3 1992 307 315
    • (1992) Fuzzy Sets and Systems , vol.49 , Issue.3 , pp. 307-315
    • Liou, T.S.1    Wang, M.J.J.2
  • 19
    • 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
  • 21
    • 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
  • 22
    • 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
  • 24
    • 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
  • 27
    • 33947710717 scopus 로고    scopus 로고
    • Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment
    • T.C. Wang, and T.H. Chang Application of TOPSIS in evaluating initial training aircraft under a fuzzy environment Expert Systems With Applications 33 4 2007 870 880
    • (2007) Expert Systems with Applications , vol.33 , Issue.4 , pp. 870-880
    • Wang, T.C.1    Chang, T.H.2
  • 28
    • 33748090609 scopus 로고    scopus 로고
    • Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment
    • DOI 10.1016/j.eswa.2005.09.040, PII S0957417405002174
    • Y.M. Wang, and T.M.S. Elhag Fuzzy TOPSIS method based on alpha level sets with an application to bridge risk assessment Expert Systems with Applications 31 2 2006 309 319 (Pubitemid 44294437)
    • (2006) Expert Systems with Applications , vol.31 , Issue.2 , pp. 309-319
    • Wang, Y.-M.1    Elhag, T.M.S.2
  • 29
    • 74949094771 scopus 로고    scopus 로고
    • Generalised fuzzy weighted mean and its applications
    • Y.M. Wang, and Y. Luo Generalised fuzzy weighted mean and its applications International Journal of General Systems 38 5 2009 533 546
    • (2009) International Journal of General Systems , vol.38 , Issue.5 , pp. 533-546
    • Wang, Y.M.1    Luo, Y.2
  • 30
    • 77956618922 scopus 로고    scopus 로고
    • A new approach for selecting portfolio of new product development projects
    • C.C. Wei, and H.W. Chang A new approach for selecting portfolio of new product development projects Expert Systems With Applications 38 1 2011 429 434
    • (2011) Expert Systems with Applications , vol.38 , Issue.1 , pp. 429-434
    • Wei, C.C.1    Chang, H.W.2
  • 31
    • 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
  • 33
    • 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
  • 34
    • 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
  • 36
    • 24944530561 scopus 로고    scopus 로고
    • Adaptive fuzzy weighted average filter for synthesized image
    • Computational Science and Its Applications - ICCSA 2005: International Conference, Proceedings
    • Q. Xu, L. Ma, W.F. Nie, P. Li, J.W. Zhang, and J.Z. Sun Adaptive fuzzy weighted average filter for synthesized image Computational Science and Its Applications - ICCSA 2005, Part 3 Lecture Notes in Computer Science vol. 3482 2005 Springer-Verlag Berlin 292 298 (Pubitemid 41313568)
    • (2005) Lecture Notes in Computer Science , vol.3482 , Issue.3 , pp. 292-298
    • Xu, Q.1    Ma, L.2    Nie, W.3    Li, P.4    Zhang, J.5    Sun, J.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.