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Buckley, J. J.; Qu, Y.

Solving systems of linear fuzzy equations. (English) Zbl 0741.65023

Fuzzy Sets Syst. 43, No. 1, 33-43 (1991).
Methods for solving a set of fuzzy linear equations are given. The author presents six new solutions and shows that five of these are identical and can be combined. It is shown how these new results are related to the previous research in the area. It is pointed out that the classical solution technique, based on an extension principle and regular fuzzy arithmetic, should be rejected since too often it fails.
Reviewer: R.P.Tewarson (Stony Brook)

Cited in 6 Reviews
Cited in 70 Documents

MSC:

65F05 Direct numerical methods for linear systems and matrix inversion
15A06 Linear equations (linear algebraic aspects)
03E72 Theory of fuzzy sets, etc.

Keywords:

fuzzy numbers; fuzzy linear equations; extension principle; regular fuzzy arithmetic
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\textit{J. J. Buckley} and \textit{Y. Qu}, Fuzzy Sets Syst. 43, No. 1, 33--43 (1991; Zbl 0741.65023)
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References:

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