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Volumn 5, Issue 9, 2011, Pages 2072-2082

Numerical solution and error estimation of fuzzy Fredholm integral equation using fuzzy Bernstein polynomials

Author keywords

Bernstein polynomials; Fuzzy Fredholm integral equation (FFIE); Modulus of continuity

Indexed keywords


EID: 81755169009     PISSN: 19918178     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (42)

References (27)
  • 1
    • 33745848160 scopus 로고    scopus 로고
    • Numerical method for solving linear Fredholm fuzzy integral equations of the second kind
    • Abbasbandy, S., E. Babolian, M. Alavi, 2007. Numerical method for solving linear Fredholm fuzzy integral equations of the second kind, Chaos Solutions an Fractals., 31: 138-146.
    • (2007) Chaos Solutions an Fractals. , vol.31 , pp. 138-146
    • Abbasbandy, S.1    Babolian, E.2    Alavi, M.3
  • 2
    • 81755165918 scopus 로고    scopus 로고
    • A, Abbasbandy, Numerical solution of linear Fredholm fuzzy integral equations of the second kind
    • Babolian, E., H. Sadeghi Goghary, 2006. A. Abbasbandy, Numerical solution of linear Fredholm fuzzy integral equations of the second kind, Appl. Math. Comput., 182: 791-796.
    • (2006) Appl. Math. Comput. , vol.182 , pp. 791-796
    • Babolian, E.1    Sadeghi Goghary, H.2
  • 3
    • 2942685463 scopus 로고    scopus 로고
    • Quadrature rules for integrals of fuzzy-number-valued functions
    • Bede, B., S.G. Gal, 2004 Quadrature rules for integrals of fuzzy-number-valued functions, Fuzzy Sets and Systems, 145: 359-380.
    • (2004) Fuzzy Sets and Systems , vol.145 , pp. 359-380
    • Bede, B.1    Gal, S.G.2
  • 4
    • 0041126271 scopus 로고
    • On the integrals, series and integral equations of fuzzy set-valued functions
    • Congxin, W., M. Ming, 1990. On the integrals, series and integral equations of fuzzy set-valued functions, J. of Harbin Inst. Of Technology, 21: 11-19.
    • (1990) J. of Harbin Inst. Of Technology , vol.21 , pp. 11-19
    • Congxin, W.1    Ming, M.2
  • 5
    • 0035371929 scopus 로고    scopus 로고
    • Gong Zengtai, On Henstock integral of Fuzzy number valued functions
    • Congxin, Wu, 2001. Gong Zengtai, On Henstock integral of Fuzzy number valued functions, Fuzzy Sets and Systems, 120: 523-532.
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 523-532
    • Congxin, W.1
  • 6
    • 0020142384 scopus 로고
    • Towards fuzzy differential calculus
    • Dobois, D., H. Prade, 1982. Towards fuzzy differential calculus, Fuzzy Sets and Systems, 8: 1-7, 105-116, 225-233.
    • (1982) Fuzzy Sets and Systems , vol.8
    • Dobois, D.1    Prade, H.2
  • 7
    • 0040971084 scopus 로고    scopus 로고
    • A. Kandel, Numerical methods for calculating the fuzzy integral
    • Friedman, M., M. Ma, 1996. A. Kandel, Numerical methods for calculating the fuzzy integral, Fuzzy Sets and Systems, 83: 57-62.
    • (1996) Fuzzy Sets and Systems , vol.83 , pp. 57-62
    • Friedman, M.1    Ma, M.2
  • 8
    • 0008771415 scopus 로고    scopus 로고
    • A, Kandel, Fuzzy linear systems
    • Friedman, M., M. Ma, 1998. A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96: 201-209.
    • (1998) Fuzzy Sets and Systems , vol.96 , pp. 201-209
    • Friedman, M.1    Ma, M.2
  • 9
    • 0009933836 scopus 로고    scopus 로고
    • A. Kandel, Numerical solutions of fuzzy differential and integral equations
    • Friedman, M., M. Ma, 1999. A. Kandel, Numerical solutions of fuzzy differential and integral equations, Fuzzy Sets and Systems, 106: 35-48.
    • (1999) Fuzzy Sets and Systems , vol.106 , pp. 35-48
    • Friedman, M.1    Ma, M.2
  • 10
    • 0040812969 scopus 로고    scopus 로고
    • A. Kandel, Solutions to fuzzy integral equations with arbitrary kernels
    • Friedman, M., M. Ma, 1999. A. Kandel, Solutions to fuzzy integral equations with arbitrary kernels, International Journal of Approximate Reasoning, 20: 249-262.
    • (1999) International Journal of Approximate Reasoning , vol.20 , pp. 249-262
    • Friedman, M.1    Ma, M.2
  • 11
    • 2942649616 scopus 로고    scopus 로고
    • Approximation theory in fuzzy setting
    • Chapter 13 in, edited by G. Anastassiou, Chapman & CRC, Boca Raton, New York
    • Gal, S., 2000 Approximation theory in fuzzy setting, Chapter 13 in Handbook of analytic-computational methods in applied mathematics, pp: 617-666, edited by G. Anastassiou, Chapman & CRC, Boca Raton, New York.
    • (2000) Handbook of analytic-computational methods in applied mathematics , pp. 617-666
    • Gal, S.1
  • 13
    • 2942680396 scopus 로고    scopus 로고
    • Anastassiou, Sorin G. Gal, On a fuzzy trigonometric approximation theorem of Weirstrass-type
    • Los Angeles
    • George A., 2001. Anastassiou, Sorin G. Gal, On a fuzzy trigonometric approximation theorem of Weirstrass-type, Journal of Fuzzy Mathematics, Los Angeles, 9(3): 701-708.
    • (2001) Journal of Fuzzy Mathematics , vol.9 , Issue.3 , pp. 701-708
    • George, A.1
  • 15
    • 0008024721 scopus 로고    scopus 로고
    • The fuzzy Riemann integral and its numerical integration
    • Hsien-Chung, Wu, 2000. The fuzzy Riemann integral and its numerical integration, Fuzzy Sets and Systems, 110: 1-25.
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 1-25
    • Hsien-Chung, W.1
  • 16
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • Kaleva, O., 1987. Fuzzy differential equations, Fuzzy Sets and Systems, 24: 301-317.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 301-317
    • Kaleva, O.1
  • 17
    • 0002450949 scopus 로고    scopus 로고
    • A. Kandel, Duality in fuzzy linear systems
    • Ma, M., M. Friedman, 2000. A. Kandel, Duality in fuzzy linear systems, Fuzzy Sets and Systems, 109: 55-58.
    • (2000) Fuzzy Sets and Systems , vol.109 , pp. 55-58
    • Ma, M.1    Friedman, M.2
  • 19
    • 38249007466 scopus 로고
    • On integration of fuzzy mappings
    • Nanda, S., 1989. On integration of fuzzy mappings, Fuzzy Sets and Systems, 32: 95-101.
    • (1989) Fuzzy Sets and Systems , vol.32 , pp. 95-101
    • Nanda, S.1
  • 21
    • 77956486686 scopus 로고    scopus 로고
    • A method for solving dual fuzzy general linear systems, Appl
    • Reza Ezzati, 2008. A method for solving dual fuzzy general linear systems, Appl. Comput. Math., 7: 241-235.
    • (2008) Comput. Math. , vol.7 , pp. 241-335
    • Ezzati, R.1
  • 22
    • 78651502624 scopus 로고    scopus 로고
    • Solving fuzzy linear systems
    • DOI 10.1007/s00500-009-0537
    • Reza Ezzati, Solving fuzzy linear systems, Soft Computing, DOI 10.1007/s00500-009-0537
    • Soft Computing
    • Ezzati, R.1
  • 24
    • 10644229161 scopus 로고    scopus 로고
    • Two computational methods for solving linear Fredholm fuzzy integral equations of the second kind by Adomian method
    • Sadeghi Goghary, H., M. Sadeghi Goghary, 2005. Two computational methods for solving linear Fredholm fuzzy integral equations of the second kind by Adomian method, Appl. Math. Comput, 161: 733-744.
    • (2005) Appl. Math. Comput , vol.161 , pp. 733-744
    • Sadeghi Goghary, H.1    Sadeghi Goghary, M.2
  • 25
    • 0015374663 scopus 로고
    • A fuzzy-set-theoretic interpretation of linguistic hedges
    • Zadeh, L.A., 1972. A fuzzy-set-theoretic interpretation of linguistic hedges, Journal of Cybernetics, 2: 4-34.
    • (1972) Journal of Cybernetics , vol.2 , pp. 4-34
    • Zadeh, L.A.1
  • 26
    • 0016458950 scopus 로고
    • The concept of the linguistic variable and its application to approximate reasoning
    • Zadeh, L.A., 1975. The concept of the linguistic variable and its application to approximate reasoning, Information Sciences, 8: 199-249.
    • (1975) Information Sciences , vol.8 , pp. 199-249
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.