Solution to general fuzzy linear system and its necessary and sufficient condition

Xu-dong Sun () and Si-zong Guo
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Xu-dong Sun: Liaoning Technical University
Si-zong Guo: Liaoning Technical University

Fuzzy Information and Engineering, 2009, vol. 1, issue 3, 317-327

Abstract: Abstract This paper investigates general fuzzy linear systems of the form Ax = y and general dual fuzzy linear systems of the form Ax + y = Bx + z with A, B matrices of crisp coefficients and x, y fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with non-full rank matrices A, B. Second, we give the new necessary and sufficient condition for a strong fuzzy solution existence. Moreover, some numerical examples are designed.

Keywords: General fuzzy linear systems; General dual fuzzy linear systems; Least Euclidean norm solution; Monotone function (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s12543-009-0024-y

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