Solutions of algebraic equations involving generalized fuzzy numbers
Information Sciences: an International Journal
Solving systems of linear fuzzy equations
Fuzzy Sets and Systems
Embedding problem of fuzzy number space: Part I
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Duality in fuzzy linear systems
Fuzzy Sets and Systems
Solving parametric fuzzy systems of linear equations by a nonlinear programming method
Computational Economics
Solution of non-linear fuzzy systems by decomposition of incremental fuzzy numbers
Information Sciences: an International Journal
American option pricing with imprecise risk-neutral probabilities
International Journal of Approximate Reasoning
A new method for solving interval and fuzzy equations: Linear case
Information Sciences: an International Journal
A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
Fuzzy Sets and Systems
Maximal- and minimal symmetric solutions of fully fuzzy linear systems
Journal of Computational and Applied Mathematics
Fuzzy symmetric solutions of fuzzy linear systems
Journal of Computational and Applied Mathematics
A new approach for solving fully fuzzy linear systems
Advances in Fuzzy Systems
Approximate solution of dual fuzzy matrix equations
Information Sciences: an International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Approximating solutions of fully fuzzy linear systems: A financial case study
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Linear systems of equations, with uncertainty on the parameters, play a major role in several applications in various areas such as economics, finance, engineering and physics. This paper investigates fuzzy linear systems of the form A"1x+b"1=A"2x+b"2 with A"1, A"2 square matrices of fuzzy coefficients and b"1, b"2 fuzzy number vectors. The aim of this paper is twofold. First, we clarify the link between interval linear systems and fuzzy linear systems. Second, a generalization of the vector solution of Buckley and Qu [Solving systems of linear fuzzy equations, Fuzzy Sets and Systems 43 (1991) 33-43] to the fuzzy system A"1x+b"1=A"2x+b"2 is provided. In particular, we give the conditions under which the system has a vector solution and we show that the linear systems Ax=b and A"1x+b"1=A"2x+b"2, with A=A"1-A"2 and b=b"2-b"1, have the same vector solutions. Moreover, in order to find the vector solution, a simple algorithm is proposed.