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(2009) Fuzzy information and Engineering I, Dordrecht, Springer.
A simple iterative method for solving dual fuzzy linear system, x = Ax + u in which A is a real n×n matrix, x and u are unknown and given n-dimensional fuzzy vectors, and its convergence were obtained by X. Wang et al (Iteration algorithm for solving a system of fuzzy linear equations, Fuzzy Sets and Systems, 119(2001)121-128). However, only a sufficient condition to convergence of the iteration was given. In this paper, a metric of fuzzy vectors is defined and the completeness of fuzzy vector space with this metric is argued. In the complete metric space a sufficient and efficient condition to convergence of simple iteration and error estimation for using it to get solution of the dual fuzzy linear system are obtained.
Publication details
DOI: 10.1007/978-3-540-88914-4_37
Full citation:
Tian, Z. , Wu, X. (2009)., Iterative method for dual fuzzy linear systems, in B. Cao, C. Zhang & T. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, pp. 297-304.
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