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Non zero solutions of the fully fuzzy linear systems. (English) Zbl 1220.65034
Summary: System of linear equations are a problem that may be solved for solving many problems in various areas of applied sciences. Fuzzy methods constitute an important mathematical and computational tool for modeling real-world systems with uncertainties of parameters. We discuss fully fuzzy linear systems (shown as FFLS) using an embedding approach to find its non-zero fuzzy number solutions. We investigate an n×n FFLS and replace the original n×n FFLS by an 2n×2n parametric linear system and finally, numerical examples are used to illustrate this approach.
MSC:
65F05Direct methods for linear systems and matrix inversion (numerical linear algebra)
08A72Fuzzy algebraic structures
15B15Fuzzy matrices