A method for solving fully fuzzy linear system with trapezoidal fuzzy numbers

Subject Areas : Operation Research

A.  Kumar ¹ (aSchool of Mathematics and Computer Applications, Thapar University, Patiala- 147004, India)
A.  Bansal ² (Computer Science and Engineering Department, Thapar University, Patiala- 147004, India)
A.  Neetu ³ (School of Mathematics and Computer Applications, Thapar University, Patiala- 147004, India)

Received: 2010-01-25 Accepted : 2010-02-25 Published : 2012-07-01

Keywords: trapezoidal fuzzy numbers, fully fuzzy linear systems (FFLS), fuzzy matrix,

Abstract :

Different methods have been proposed for finding the non-negative solution offully fuzzy linear system (FFLS) i.e. fuzzy linear system with fuzzycoefficients involving fuzzy variables. To the best of our knowledge, there isno method in the literature for finding the non-negative solution of a FFLSwithout any restriction on the coefficient matrix. In this paper a newcomputational method is proposed to solve FFLS without any restriction on thecoefficient matrix by representing all the parameters as trapezoidal fuzzynumbers.

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