Abstract—In this paper, application of fuzzy system of linear equations (FSLE) is investigated in the circuit analysis (CA). In the field of CA, each circuit includes linear resistance, inductance and capacitance are modeled to complex linear equation. A fuzzy current or voltage in the circuit is more intellectual relative to crisp value because of some reasons as environmental conditions, tolerance in the elements, and noise (leakage of power harmonics,). This scheme forces for presentation of fuzzy complex system of linear equations (FCSLE). Derivation is presented for solving FCSLE and obtained results show ability of this method in CA.

Index Terms—Fuzzy complex system of linear equations, Fuzzy system of linear equations, Circuit analysis, Fuzzy current and voltage, Noise, Tolerance.

Hadi Sadoghi Yazdi is with the Computer Department, Ferdowsi University of Mashhad, Mashhad, Iran, (sadoghi@sttu.ac.ir) (Corresponding Author)
Reza Monsefi is with the Computer Department, Ferdowsi University of Mashhad, Mashhad, Iran, (rmonsefi@um.ac.ir)

Cite: Taher Rahgooy, Hadi Sadoghi Yazdi and Reza Monsefi, "Fuzzy Complex System of Linear Equations Applied to Circuit Analysis," International Journal of Computer and Electrical Engineering vol. 1, no. 5, pp. 535-541, 2009.