메뉴 건너뛰기




Volumn 177, Issue 1, 2011, Pages 45-59

Trapezoidal approximation and aggregation

Author keywords

Aggregation; Approximation of fuzzy numbers; Expected interval; Fuzzy number; Trapezoidal approximation

Indexed keywords

AGGREGATION OPERATOR; APPROXIMATION OF FUZZY NUMBERS; DATA AGGREGATION; EXPECTED INTERVAL; FUZZY NUMBER; TRAPEZOIDAL APPROXIMATION;

EID: 79958157012     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2011.02.016     Document Type: Article
Times cited : (39)

References (32)
  • 1
    • 31144465223 scopus 로고    scopus 로고
    • The nearest approximation of a fuzzy quantity in parametric form
    • DOI 10.1016/j.amc.2005.02.019, PII S0096300305002274
    • S. Abbasbandy, and B. Asady The nearest approximation of a fuzzy quantity in parametric form Appl. Math. Comput. 172 2006 624 632 (Pubitemid 43132866)
    • (2006) Applied Mathematics and Computation , vol.172 , Issue.1 , pp. 624-632
    • Abbasbandy, S.1    Amirfakhrian, M.2
  • 2
    • 69249241866 scopus 로고    scopus 로고
    • Triangular approximations of fuzzy numbers using α-weighted valuations
    • S. Abbasbandy, E. Ahmady, and N. Ahmady Triangular approximations of fuzzy numbers using α-weighted valuations Soft Comput. 14 2010 71 79
    • (2010) Soft Comput. , vol.14 , pp. 71-79
    • Abbasbandy, S.1    Ahmady, E.2    Ahmady, N.3
  • 3
    • 33748425780 scopus 로고    scopus 로고
    • The nearest trapezoidal form of a generalized left right fuzzy number
    • DOI 10.1016/j.ijar.2006.04.001, PII S0888613X06000314
    • S. Abbasbandy, and M. Amirfakhrian The nearest trapezoidal form of a generalized LR fuzzy number Int. J. Approx. Reason. 43 2006 166 178 (Pubitemid 44345153)
    • (2006) International Journal of Approximate Reasoning , vol.43 , Issue.2 , pp. 166-178
    • Abbasbandy, S.1    Amirfakhrian, M.2
  • 4
    • 77950919660 scopus 로고    scopus 로고
    • Weighted trapezoidal approximation-preserving cores of a fuzzy number
    • S. Abbasbandy, and T. Hajjari Weighted trapezoidal approximation- preserving cores of a fuzzy number Comput. Math. Appl. 59 2010 3066 3077
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3066-3077
    • Abbasbandy, S.1    Hajjari, T.2
  • 5
    • 41549111462 scopus 로고    scopus 로고
    • Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
    • A.I. Ban Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval Fuzzy Sets Syst. 159 2008 1327 1344
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 1327-1344
    • Ban, A.I.1
  • 6
    • 69249221319 scopus 로고    scopus 로고
    • On the nearest parametric approximation of a fuzzy number - Revisited
    • A.I. Ban On the nearest parametric approximation of a fuzzy number - revisited Fuzzy Sets Syst. 166 2009 3027 3047
    • (2009) Fuzzy Sets Syst. , vol.166 , pp. 3027-3047
    • Ban, A.I.1
  • 7
    • 79951959888 scopus 로고    scopus 로고
    • Remarks and corrections to the triangular approximations of fuzzy numbers using α-weighted valuations
    • A.I. Ban Remarks and corrections to the triangular approximations of fuzzy numbers using α-weighted valuations Soft Comput. 15 2011 351 361
    • (2011) Soft Comput. , vol.15 , pp. 351-361
    • Ban, A.I.1
  • 8
    • 79951941873 scopus 로고    scopus 로고
    • Metric properties of the nearest extended parametric fuzzy number and applications
    • A.I. Ban, and L.C. Coroianu Metric properties of the nearest extended parametric fuzzy number and applications Int. J. Approx. Reason. 52 2011 488 500
    • (2011) Int. J. Approx. Reason. , vol.52 , pp. 488-500
    • Ban, A.I.1    Coroianu, L.C.2
  • 9
    • 78650823722 scopus 로고    scopus 로고
    • Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval
    • L. Coroianu Best Lipschitz constant of the trapezoidal approximation operator preserving the expected interval Fuzzy Sets Syst. 165 2011 81 97
    • (2011) Fuzzy Sets Syst. , vol.165 , pp. 81-97
    • Coroianu, L.1
  • 11
    • 0023548442 scopus 로고
    • The mean value of a fuzzy number
    • D. Dubois, and H. Prade The mean value of a fuzzy number Fuzzy Sets Syst. 24 1987 279 300
    • (1987) Fuzzy Sets Syst. , vol.24 , pp. 279-300
    • Dubois, D.1    Prade, H.2
  • 13
    • 0002133918 scopus 로고    scopus 로고
    • Metrics and orders in space of fuzzy numbers
    • PII S0165011496003223
    • P. Grzegorzewski Metrics and orders in space of fuzzy numbers Fuzzy Sets Syst. 97 1998 83 94 (Pubitemid 128654881)
    • (1998) Fuzzy Sets and Systems , vol.97 , Issue.1 , pp. 83-94
    • Grzegorzewski, P.1
  • 14
    • 0037119865 scopus 로고    scopus 로고
    • Nearest interval approximation of a fuzzy number
    • DOI 10.1016/S0165-0114(02)00098-2, PII S0165011402000982
    • P. Grzegorzewski Nearest interval approximation of a fuzzy number Fuzzy Sets Syst. 130 2002 321 330 (Pubitemid 34862876)
    • (2002) Fuzzy Sets and Systems , vol.130 , Issue.3 , pp. 321-330
    • Grzegorzewski, P.1
  • 15
    • 41549152052 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers preserving the expected interval - Algorithms and properties
    • P. Grzegorzewski Trapezoidal approximations of fuzzy numbers preserving the expected interval - algorithms and properties Fuzzy Sets Syst. 159 2008 1354 1364
    • (2008) Fuzzy Sets Syst. , vol.159 , pp. 1354-1364
    • Grzegorzewski, P.1
  • 16
    • 75749112053 scopus 로고    scopus 로고
    • Algorithms for trapezoidal approximations of fuzzy numbers preserving the expected interval
    • P. Grzegorzewski Algorithms for trapezoidal approximations of fuzzy numbers preserving the expected interval B. Bouchon-Meunier, L. Magdalena, M. Ojeda-Aciego, J.-L. Verdegay, R.R. Yager, Foundations of Reasoning under Uncertainty 2010 Springer 85 98
    • (2010) Foundations of Reasoning under Uncertainty , pp. 85-98
    • Grzegorzewski, P.1
  • 17
    • 18144379905 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers
    • DOI 10.1016/j.fss.2004.02.015, PII S0165011405000047
    • P. Grzegorzewski, and E. Mrówka Trapezoidal approximations of fuzzy numbers Fuzzy Sets Syst. 153 2005 115 135 (Pubitemid 40612574)
    • (2005) Fuzzy Sets and Systems , vol.153 , Issue.1 , pp. 115-135
    • Grzegorzewski, P.1    Mrowka, E.2
  • 18
    • 33846809061 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers-revisited
    • DOI 10.1016/j.fss.2006.11.015, PII S0165011406005173
    • P. Grzegorzewski, and E. Mrówka Trapezoidal approximations of fuzzy numbers - revisited Fuzzy Sets Syst. 158 2007 757 768 (Pubitemid 46215760)
    • (2007) Fuzzy Sets and Systems , vol.158 , Issue.7 , pp. 757-768
    • Grzegorzewski, P.1    Mrowka, E.2
  • 21
    • 38249012102 scopus 로고
    • The expected value of a fuzzy number
    • S. Heilpern The expected value of a fuzzy number Fuzzy Sets Syst. 47 1992 81 86
    • (1992) Fuzzy Sets Syst. , vol.47 , pp. 81-86
    • Heilpern, S.1
  • 24
    • 0142208000 scopus 로고    scopus 로고
    • A new approach for defuzzification
    • M. Ma, A. Kandel, and M. Friedman A new approach for defuzzification Fuzzy Sets Syst. 111 2000 351 356
    • (2000) Fuzzy Sets Syst. , vol.111 , pp. 351-356
    • Ma, M.1    Kandel, A.2    Friedman, M.3
  • 25
    • 41549117955 scopus 로고    scopus 로고
    • On the nearest parametric approximation of a fuzzy number
    • DOI 10.1016/j.fss.2007.08.005, PII S0165011407003648
    • E.N. Nasibov, and S. Peker On the nearest parametric approximation of a fuzzy number Fuzzy Sets Syst. 159 2008 1365 1375 (Pubitemid 351466979)
    • (2008) Fuzzy Sets and Systems , vol.159 , Issue.11 , pp. 1365-1375
    • Nasibov, E.N.1    Peker, S.2
  • 26
    • 0004267646 scopus 로고
    • Princeton University Press Princeton, NJ
    • R.T. Rockafellar Convex Analysis 1970 Princeton University Press Princeton, NJ
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 28
    • 41549138233 scopus 로고    scopus 로고
    • Trapezoidal and triangular approximations preserving the expected interval
    • DOI 10.1016/j.fss.2007.09.010, PII S0165011407004198
    • C.-T. Yeh Trapezoidal and triangular approximations preserving the expected interval Fuzzy Sets Syst. 159 2008 1345 1353 (Pubitemid 351466982)
    • (2008) Fuzzy Sets and Systems , vol.159 , Issue.11 , pp. 1345-1353
    • Yeh, C.-T.1
  • 29
    • 40049086946 scopus 로고    scopus 로고
    • On improving trapezoidal and triangular approximations of fuzzy numbers
    • DOI 10.1016/j.ijar.2007.09.004, PII S0888613X07001430
    • C.-T. Yeh On improving trapezoidal and triangular approximations of fuzzy numbers Int. J. Approx. Reason. 48 2008 297 313 (Pubitemid 351324072)
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.1 , pp. 297-313
    • Yeh, C.-T.1
  • 30
    • 69349105199 scopus 로고    scopus 로고
    • Weighted trapezoidal and triangular approximations of fuzzy numbers
    • C.-T. Yeh Weighted trapezoidal and triangular approximations of fuzzy numbers Fuzzy Sets Syst. 160 2009 3059 3079
    • (2009) Fuzzy Sets Syst. , vol.160 , pp. 3059-3079
    • Yeh, C.-T.1
  • 31
    • 78650806072 scopus 로고    scopus 로고
    • Weighted semi-trapezoidal approximations of fuzzy numbers
    • C.-T. Yeh Weighted semi-trapezoidal approximations of fuzzy numbers Fuzzy Sets Syst. 165 2011 61 80
    • (2011) Fuzzy Sets Syst. , vol.165 , pp. 61-80
    • Yeh, C.-T.1
  • 32
    • 34548043250 scopus 로고    scopus 로고
    • Weighted triangular approximation of fuzzy numbers
    • DOI 10.1016/j.ijar.2006.11.001, PII S0888613X06001411
    • W. Zeng, and H. Li Weighted triangular approximation of fuzzy numbers Int. J. Approx. Reason. 46 2007 137 150 (Pubitemid 47285667)
    • (2007) International Journal of Approximate Reasoning , vol.46 , Issue.1 , pp. 137-150
    • Zeng, W.1    Li, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.