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Inherited LU factorization for solving fuzzy system of linear equations

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Abstract

In this paper, we use the inherited LU factorization for solving the fuzzy linear system of equations. Inherited LU factorization is a type of LU factorization which is very faster and simpler than the traditional LU factorization. In this case, we prove some theorems to introduce the conditions that the inherited LU factorization exists for the coefficient matrix of fuzzy linear system. The examples illustrate that the proposed method can be used in order to find the solution of a fuzzy linear system simply.

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References

  • Abbasbandy S, Ezzati R, Jafarian A (2006) LU decomposition method for solving fuzzy system of linear equations. Appl Math Comput 172:633–643

    Article  MathSciNet  MATH  Google Scholar 

  • Arav M, Bevis J, Hall JF (2007) Inherited LU factorization of matrices. Linear Algebra Appl 427:16–41

    Article  MathSciNet  Google Scholar 

  • Cong-xin W, Ming M (1991) Embedding problem of fuzzy number space: I. Fuzzy Sets Syst 44:33–38

    Article  Google Scholar 

  • Dubois D, Prade H (1980) Fuzzy sets and systems: theory and application. Academic Press, New York

    Google Scholar 

  • Fariborzi Araghi MA, Fallahzadeh A (2009) The use of the LU inherited factorization to introduce the inherited interpolation. East J Approx 15(4):495–513

    MathSciNet  Google Scholar 

  • Fariborzi Araghi MA, Fallahzadeh A (2011) Semi inherited bivariate interpolation. Anal Theory Appl 27(2):138–149

    Article  MathSciNet  MATH  Google Scholar 

  • Friedman M, Ming M, Kandel A (1998) Fuzzy linear systems. Fuzzy Sets Syst 96:201–209

    Article  MathSciNet  MATH  Google Scholar 

  • Friedman M, Ming M, Kandel A (2000) Duality in fuzzy linear systems. Fuzzy Sets Syst 109:55–58

    Article  MATH  Google Scholar 

  • Gill EP, Murray W, Wright HM (1991) Numerical linear algebra and optimization. Addison-Wesley, Redwood City, CA

    MATH  Google Scholar 

  • Johnson RC, Olesky DD, Van Den Driessche P (1989) Inherited matrix entries: LU factorization. SIAM J Matrix Anal 10:97–104

    Article  Google Scholar 

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Correspondence to Mohammad Ali Fariborzi Araghi.

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Fariborzi Araghi, M.A., Fallahzadeh, A. Inherited LU factorization for solving fuzzy system of linear equations. Soft Comput 17, 159–163 (2013). https://doi.org/10.1007/s00500-012-0908-3

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  • DOI: https://doi.org/10.1007/s00500-012-0908-3

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