A method for solving fully fuzzy linear system

Theory of Approximation and Applications

مقاله 5، دوره 7، شماره 2، اسفند 2013، صفحه 55-66   

نوع مقاله: Research Articles

نویسندگان

M. Mosleh¹؛ S. Abbasbandy^{* 2}؛ M. Otadi¹

¹Department of Mathematics, Islamic Azad University, Firuozkooh Branch, Firuozkooh, Iran.

²Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran 14515/775, Iran.

چکیده

In this paper, a numerical method for nding minimal solution of a mn fully
fuzzy linear system of the form Ax = b based on pseudo inverse calculation,
is given when the central matrix of coecients is row full rank or column full
rank, and where A~ is a non-negative fuzzy mn matrix, the unknown vector
x is a vector consisting of n non-negative fuzzy numbers and the constant b is
a vector consisting of m non-negative fuzzy numbers.

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