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Article type: Research Article
Authors: Kaur, Jeevan Jot* | Kumar, Amit
Affiliations: School of Mathematics, Thapar University, Patiala, Punjab, India
Correspondence: [*] Corresponding author. Jeevan Jot Kaur, School of Mathematics, Thapar University, Patiala, Punjab, India. Tel.: +91 9888500451; Fax: +91 1752393020; E-mail: [email protected].
Abstract: In this paper, it is pointed out that in the existing methods [Sarangam Majumdar, Numerical solutions of fuzzy complex system of linear equations, German Journal of Advanced Mathematical Sciences 1 (2013), 20–26] for solving fuzzy complex system of linear equations in which all the parameters except variables are represented by triangular/trapezoidal fuzzy complex numbers as well as the fuzzy complex system of linear equations in which all the parameters except coefficients are represented by triangular/trapezoidal fuzzy complex numbers, Majumdar has assumed that on subtracting a fuzzy number from itself, the obtained value is a zero fuzzy number as well as on dividing a fuzzy number by itself, the obtained value is a unit fuzzy number. To resolve these flaws of the existing methods, two new methods (named as Mehar method and Keerat method) are proposed for solving the same systems of fuzzy complex linear equations.
Keywords: Fuzzy number, fuzzy complex number, system of fuzzy complex linear equations
DOI: 10.3233/JIFS-16134
Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1955-1965, 2016
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