Solution to fuzzy system of linear equations with crisp coefficients

D. Behera () and S. Chakraverty ()
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D. Behera: National Institute of Technology
S. Chakraverty: National Institute of Technology

Fuzzy Information and Engineering, 2013, vol. 5, issue 2, 205-219

Abstract: Abstract This paper presents a new and simple method to solve fuzzy real system of linear equations by solving two n × n crisp systems of linear equations. In an original system, the coefficient matrix is considered as real crisp, whereas an unknown variable vector and right hand side vector are considered as fuzzy. The general system is initially solved by adding and subtracting the left and right bounds of the vectors respectively. Then obtained solutions are used to get a final solution of the original system. The proposed method is used to solve five example problems. The results obtained are also compared with the known solutions and found to be in good agreement with them.

Keywords: Fuzzy number; Fuzzy system of linear equations; α-cut; Triangular fuzzy number (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s12543-013-0138-0

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