# Linear System of Equations with Trapezoidal Fuzzy Numbers

Volume 3, Issue 1, pp 71--79 Publication Date: July 20, 2011
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### Authors

S. H. Nasseri - Department of Mathematics, Mazandaran University, Babolsar, Iran M. Gholami - Department of Mathematics, University of Tarbiat Moallem, Sabzevar, Iran

### Abstract

A general fuzzy linear system of equations is investigated using embedding approach. In the literature of fuzzy systems two types of linear systems are more important: 1) Fuzzy Linear Systems, 2) Fully Fuzzy Linear Systems. In both class of these systems usually the authors considered triangular type of fuzzy numbers. In this paper, we introduce a linear system of equations with trapezoidal fuzzy numbers as an extension of the fuzzy linear systems which was first introduced by Friedman et al. [6]. Conditions for the existence of a trapezoidal fuzzy solution to n×n linear system are derived and a numerical procedure for calculating the solution is illustrated with some examples.

### Keywords

• Fuzzy linear system
• Embedding approach
• Triangular and trapezoidal fuzzy numbers
• Trapezoidal fuzzy linear system.

•  15B15
•  26E50

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