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Zbl 0929.15004
Friedman, Menahem; Ma, Ming; Kandel, Abraham
Fuzzy linear systems.
(English)
[J] Fuzzy Sets Syst. 96, No.2, 201-209 (1998); comment and reply ibid. 140, 559-561 (2003). ISSN 0165-0114

Fuzzy linear systems were considered by many authors [cf. e.g. {\it R. Fullér}, Fuzzy Sets Syst. 34, No. 3, 347-353 (1990; Zbl 0696.15003); {\it R. Zhao} and {\it R. Govind}, Inf. Sci. 56, No. 1-3, 199-243 (1991; Zbl 0726.65048); {\it J. J. Buckley, T. Feuring} and {\it Y. Hayashi}, Int. Ser. Intell. Technol. 11, 213-232 (1997; Zbl 0893.65016)]. Here we have a linear system with fuzzy right-hand sides, where fuzzy numbers are based on definition by {\it R. Goetschel} and {\it W. Voxman} [Fuzzy Sets Syst. 10, 87-99 (1983; Zbl 0521.54001)]. The method of solution depends on a construction of $2n\times 2n$ crisp linear system with a nonnegative matrix. The paper contains many examples of practical computations.
[J.Drewniak (Katowice)]
MSC 2000:
*15A06 Linear equations (linear algebra)
15A48 Positive matrices and their generalizations
15A33 Matrices over special rings
03E72 Fuzzy sets (logic)

Keywords: linear equation; fuzzy number; fuzzy coefficient; fuzzy solution; positive matrix

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