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225651

Solving general fuzzy linear systems

Xu-dong SunSi-zong Guo

pp. 277-287

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 y, z fuzzy number vectors. The aim of this paper is twofold. First, by the unique least Euclidean norm solution we solve the systems with no full rank matrices ">A, B. Second, We give the new necessary and sufficient conditions for a strong fuzzy solution existence. Moreover, some numerical examples are designed.

Publication details

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 277-287

DOI: 10.1007/978-3-540-88914-4_35

Full citation:

Sun Xu-dong, Guo Si-zong (2009) „Solving general fuzzy linear systems“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 277–287.