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Research Article Open access CC BY 4.0

Extension of Moore-Penrose Pseudoinverse to Solve Nonsquare Fuzzy System of Linear Equations

A. Hosseinpour

Asian Research Journal of Mathematics · pp. 1–11 · Published 15 Jan 2018

10.9734/ARJOM/2018/38351

Abstract

In this work, a solution for the fuzzy system of linear equations has been assessed. Here, the coefficients matrix is nonsquare with elements of crisp numbers such that the known and unknown vectors are fuzzy vectors. First, the singular value decomposition and the generalized inverse of the nonsquare matrices have been illustrated. Then, these concepts have been extended to nd the solutions of the nonsquare fuzzy system of linear equations.

Fuzzy system of linear equations Fuzzy numbers Moore-Penrose pseudoinverse singular value decomposition.

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