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Graphical visualization of FFLS to explain the existence of solution and weak solution in circuit analysis


In this paper, an unambiguous graphical interpre- tation of fully fuzzy linear equation in two variables where all the parameters are symmetric triangular fuzzy number (STFN) is presented. Several new terminologies such as dis- assembled fuzzy straight line and assembled fuzzy straight line are proposed and theorems concerning those are estab- lished. This interpretation is extended to 2 × 2 fully fuzzy linear system (FFLS) with STFN which enables to com-
ment on the existence of solution of the system. Then an application of FFLS is focused in a real-life circuit analy- sis problem where the solving procedure using available method in the literature leads to weak solution. Why this happens is explained using the proposed geometrical inter- pretation. Finally, a modification to the definition of TFN is proposed to.

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    Graphical interpretation
    fully fuzzy linear equation
    Symmetric triangular fuzzy number
    Fully fuzzy linear system
    Circuit analysis
    Weak solution
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