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Fuzzy general linear systems. (English) Zbl 1119.65325

Summary: The main aim is to develop a method for solving an \(m \times n\) fuzzy linear system for \(m\leqslant n\). Conditions for the existence of a fuzzy solution are derived and a numerical procedure for calculating the solution is designed.

MSC:

65F20 Numerical solutions to overdetermined systems, pseudoinverses
08A72 Fuzzy algebraic structures
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References:

[1] Friedman, M.; Ming, Ma.; Kandel, A., Fuzzy linear systems, Fuzzy Sets and Systems, 96, 201-209 (1998) · Zbl 0929.15004
[2] Cong-Xin, W.; Ming, M., Embedding problem of fuzzy number space: Part I, Fuzzy Sets and Systems, 44, 33-38 (1991) · Zbl 0757.46066
[3] Cong-Xin, W.; Ming, M., Embedding problem of fuzzy number space: Part III, Fuzzy Sets and Systems, 44, 281-286 (1992) · Zbl 0774.54003
[4] Minc, H., Nonnegative Matrices (1998), Wily: Wily New York
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