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Zbl 0945.15002
Ma, Ming; Friedman, M.; Kandel, A.
Duality in fuzzy linear systems.
(English)
[J] Fuzzy Sets Syst. 109, No.1, 55-58 (2000). ISSN 0165-0114

As the authors say in their announced paper [see {\it M. Friedman, M. Ma and A. Kandel}, Fuzzy linear systems, Fuzzy Sets Syst. (to appear)] they investigate a general model for solving an $n{\times}n$ fuzzy linear system whose coefficient matrix is crisp and the right-hand side column is an arbitrary fuzzy vector. They use the parametric form of fuzzy numbers and replace the original system by a $(2n){\times}(2n)$ representation. This enables them to treat this problem using the theory of positive matrices.\par In the paper under review they apply the same approach to solve dual fuzzy linear systems and give two necessary and sufficient conditions for the existence of solutions.
[Nikolai I.Osetinski (Moskva)]
MSC 2000:
*15A06 Linear equations (linear algebra)
03E72 Fuzzy sets (logic)
15A33 Matrices over special rings

Keywords: fuzzy linear equation system; duality; embedding method; nonnegative matrix

Cited in: Zbl 1067.65040 Zbl 1050.15003

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