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Allahviranloo, T.; Salahshour, S.; Homayoun-Nejad, M.; Baleanu, D.

General solutions of fully fuzzy linear systems. (English) Zbl 1272.93061

Abstr. Appl. Anal. 2013, Article ID 593274, 9 p. (2013).
Summary: We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like the tolerable solution set (TSS) and the controllable solution set (CSS). Finally, we solve two examples in order to demonstrate the ability of the proposed method.

Cited in 10 Documents

MSC:

93C05 Linear systems in control theory
93C42 Fuzzy control/observation systems

Software:

INTOPT_90
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References:

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